BIOS255 Lab Week4
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Chamberlain University College of Nursing *
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255
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Mechanical Engineering
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Feb 20, 2024
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Paola Rodriguez
BIOS255 Week 4 Lymphatic System
Learning Objectives:
State the components and functions of the lymphatic system
Trace lymphatic drainage through the major vessels of the lymphatic system.
Identify the mechanisms that cause movement of lymph through the lymph vessels.
Introduction:
The lymphatic system consists of lymphatic fluid, lymphatic vessels, lymphatic tissue, and lymphatic organs located throughout the tissues of the body. It functions to drain excess interstitial fluid from the tissues, to initiate an immune response against disease by producing and transporting lymphocytes, and to transport dietary lipids absorbed by the gastrointestinal tract into the blood. Lymphatic capillaries extend throughout the tissues of the body among blood capillary beds. Interstitial fluid, similar in composition to
blood plasma, leaches from the blood capillaries into the surrounding tissue, bathing the
cells and supplying each one with nutrients, oxygen, and water while also removing waste, carbon dioxide, and water. Around 30 liters of fluid enter the arteriolar end of capillaries every day, but only 27 liters return to the venous capillaries. The lymphatic system collects the missing 3 liters from the interstitial space and returns it to the venous system. Let’s explore this system that can be found in so many different places and perform multiple roles!
Assignment
Part 1:
Complete the activities on Anatomy.TV for the Lymphatic System and Immunity:
Introduction, Vessels and Circulation, Organs and Tissues.
To access Anatomy.TV: Resources tab>Library>Library Resources-Database A-
Z>Anatomy.TV>Titles(default tab): Choose Lymphatic system and Immunity>choose assigned sections
You will then work through the material and activities by scrolling down on the right. This
will allow you to see and work through all activities for that section.
As you complete the lab activities, have the lab report ready to record data.
Part 2:
Complete the lab report.
Lymphatic System Lab Report
1.
List the 4 components of the lymphatic system described in the introduction. (1 point; 1/4 point each)
Lymph, lymphatic vessels, lymphatic tissue, and lymphatic organs.
2.
List 3 functions of the lymphatic system. (1.5 points total; 1/2 point each)
defending your body from pathogens, keeping body fluids balanced, and eliminating cellular waste.
3.
List 3 secondary organs of the lymphatic system. (1.5 points; ½ point each)
Spleen lymph nodes, and diffuse lymphatic tissue
4.
List the 3 tonsils
and
indicate their locations. (3 points)
1. Palatine tonsil- posterior region of oral cavity between the glossopalatine and haryngopalatine
2. Pharyngeal Tonsil – posterior wall of the nasopharynx
3. Lingual Tonsil- posterior surface of tongue
5.
Identify structures in the following image from the Vessels and Circulation tab: you will need to click on “Lymphatic Capillaries” (1/2 point each; 2.5 points total)
A. Arteriole
B. Lymphatic capillary
C. Anchor filaments
D. Lymphatic capillary pore
E. Lymphatic vessel cell
6.
Describe 2 ways in which the intestines play a role in the lymphatic system. (1 point)
1-
Fats that are too large to be absorbed by blood capillaries are transported into venous circulation by lymphatic vessels in the small intestine known as lacteals.
2-
The GALT (gut assisted lymphoid tissue) system protects the body from ingested pathogens. Found in the large and small intestines.
7.
Describe the structure
and
function of the thoracic duct. (1 point)
This structure, which measures between 38 and 45 cm in length, creates the biggest confluence of lymph veins in the body. Both the lower right and left sides of the body provide it with lymph. originating from the Cisterna When the left internal jugular vein and the left subclavian vein converge, the cheli ascends the thorax to the left of the spinal column, unites with the neck vessels, and empties into the left subclavian vein.
E
D
C
B
A
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8.
What are the 2 mechanisms that allow movement of lymph through the lymph vessels? (1 point; ½ point each)
Skeletal muscle pump which allows blood to be returned to the heart from the lower
body and Respiratory Pump as the thoracic pressure decreases with inhalation which aids the return of fluid to the thoracic cavity from the abdominal cavity.
9.
If someone has their spleen removed surgically what could be the clinical consequence? (1 point)
Increased risks of infections.
10.
Describe how the skeletal system plays an important role in the lymphatic system. (1.5) point)
The skeletal system functions as a unit to aid in bodily circulation. The skeletal, cardiac, and lymphatic systems all aid in moving nutrients to where they are needed and removing any germs that may be present.
Grading Rubric for Lab Report
Activity
Deliverable
Points
Part 1
Complete lab activities
15
Part 2
Complete lab report
15
Total
Complete all lab activities
30
Related Questions
Learning Goal:
To develop the ability to break a frame or machine down
into subsystems and to determine the forces developed
at internal pin connections.
Frames and machines are systems of pin-connected,
multiforce members. Frames are designed to support
loads, whereas machines are designed to transmit or
alter the effects of loads. For a frame or machine to be in
equilibrium, each member of the frame or machine
system must be in equilibrium. Free-body diagrams of the
overall system, as well as individual members, groups of
members, and subsystems, must be drawn.
Figure
B
b
30°
2b
Н.
4 of 4
Submit Previous Answers
✓ Correct
Note that the internal reactions at B are not included in the free-body diagram of the subsystem ABC.
Part D-A tractor shovel
The tractor shovel shown (Figure 4) carries a 500 kg load that has its center of mass at H. The shovel's dimensions are:
a = 52.0 mm, b = 208 mm, c = 312 mm, d = 104 mm, and e = 364 mm. Find the reaction force at E. Assume that the
positive…
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Help!!! Please answer part b correctly like part A. Please!!!!
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Problem 1
Learning Goal:
To be able to find the center of gravity, the center of mass, and the centroid of a
composite body.
A centroid is an object's geometric center. For an object of uniform composition,
its centroid is also its center of mass. Often the centroid of a complex composite
body is found by, first, cutting the body into regular shaped segments, and then
by calculating the weighted average of the segments' centroids.
Figure
←d→
x
Part A
IVE ΑΣΦ | 4
T, 1.610,0.5075
Submit
An object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.20 ft ,b= 3.74 ft, and c = 2.45 ft. A hole with diameter d = 0.600 ft is centered at (1.00, 0.600).
Find z, y, the coordinates of the body's centroid. (Figure 1)
Express your answers numerically in feet to three significant figures separated by a comma.
▸ View Available Hint(s)
Previous Answers
Provide Feedback
vec •
* Incorrect; Try Again; 4 attempts remaining
?
1 of 5
ft
Review
>
Next >
Activate Windows
Go to…
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Learning Goal:
To learn to apply the method of joints to a truss in a systematic way and thereby find the loading in each member of the truss.
In analyzing or designing trusses, it is necessary to determine the force in each member of the truss. One way to do this is the
method of joints. The method of joints is based on the fact that if the entire truss is in equilibrium, each joint in the truss must also be
in equilibrium (i.e., the free-body diagram of each joint must be balanced).
Consider the truss shown in the diagram. The applied forces are P₁ = 630 lb and P₂ = 410 lb and the distance is d = 8.50 ft.
Figure 1)
1 of 1
A
E
30°
d
B
D
P₁
30°
d
C
arrow_forward
Having found FcD in the analysis of joint C, there are now only two unknown forces acting on joint D. Determine the two unknown forces on joint D.
Express your answers in newtons to three significant figures. Enter negative value in the case of compression and positive value in the case of tension.
Enter your answers separated by a comma.
arrow_forward
Learning Goal:
To use equilibrium to calculate the plane state of stress in a rotated coordinate system.
In general, the three-dimensional state of stress at a point requires six stress components to be fully described: three normal stresses and three shear stresses (Figure 1). When the external loadings are coplanar, however, the resulting internal stresses can be treated as plane stress and described using a simpler, two-dimensional analysis with just two normal stresses and one shear stress (Figure 2). The third normal stress and two other shear stresses are assumed to be zero.
The normal and shear stresses for a state of stress depend on the orientation of the axes. If the stresses are given in one coordinate system (Figure 3), the equivalent stresses in a rotated coordinate system (Figure 4) can be calculated using the equations of static equilibrium. Both sets of stresses describe the same state of stress.
The stresses σx′and τx′y′ can be found by considering the free-body…
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Help!!! Please solve the value
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Learning Goal:
A column with a wide-flange section has a flange width b = 200 mm , height h = 200 mm, web thickness tw = 8 mm , and flange
thickness tf = 12 mm (Figure 1). Calculate the stresses at a point 75 mm above the neutral axis if the section supports a tensile
To calculate the normal and shear stresses at a point
on the cross section of a column.
normal force N = 2.9 kN at the centroid, shear force V = 4.6 kN, and bending moment M = 4.8 kN • m as shown (Figure 2).
The state of stress at a point is a description of the
normal and shear stresses at that point. The normal
stresses are generally due to both internal normal
force and internal bending moment. The net result can
be obtained using the principle of superposition as
long as the deflections remain small and the response
is elastic.
Part A - Normal stress
Calculate the normal stress at the point due to the internal normal force on the section.
Express your answer with appropriate units to three significant figures.
> View…
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Learning Goal:
To calculate minor head losses and pressure drops
for pipe fittings.
Minor losses in pipe flow are the result of
disruptions to the steady laminar or turblent flow in
a pipe by entrances, bends, transitions, valves or
other fittings. In general, calculating these losses
analytically is too complex. However, all of these
losses can be modeled using terms of the form
h = KL where Kr, is called the loss
coefficient and is determined experimentally. This
coefficient relates the minor head loss to the
velocity head for the flow. For expansions and
contractions, the loss coefficient is calculated using
nine
the velocity for the smaller diameter pipe.
The table below gives some representative values
for various minor head losses. These are
representative only, and a more complete table
would account for different kinds of fittings and
connections (like threaded or soldered).
Fitting
Well-rounded entrance
≥0.15
Flush entrance
Re-entrant pipe
Discharge pipe
Sudden contraction (d₂…
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Learning Goal:
To use the principle of linear impulse and momentum to relate a force on an object to the resulting velocity of the object at different times.
The equation of motion for a particle of mass m
can be written as
∑F=ma=mdvdt
By rearranging the terms and integrating, this equation becomes the principle of linear impulse and momentum:
∑∫t2t1Fdt=m∫v2v1dv=mv2−mv1
For problem-solving purposes, this principle is often rewritten as
mv1+∑∫t2t1Fdt=mv2
The integral ∫Fdt is called the linear impulse, I, and the vector mv is called the particle's linear momentum.
A tennis racket hits a tennis ball with a force of F=at−bt2, where a = 1300 N/ms , b = 300 N/ms2 , and t is the time (in milliseconds). The ball is in contact with the racket for 2.90 ms . If the tennis ball has a mass of 59.7 g , what is the resulting velocity of the ball, v, after the ball is hit by the racket?
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Learning Goal:
To calculate the normal and shear stresses at a point on the cross
section of a column.
A column with a wide-flange section has a flange width b = 250 mm , height k = 250 mm , web thickness to = 9 mm , and flange thickness t; = 14 mm (Figure 1).
Calculate the stresses at a point 65 mm above the neutral axis if the section supports a tensile normal force N = 2 kN at the centroid, shear force V = 5.8 kN , and
bending moment M = 3 kN - m as shown (Figure 2).
The state of stress at a point is a description of the normal and shear
stresses at that point. The normal stresses are generally due to both
internal normal force and internal bending moment. The net result can
be obtained using the principle of superposition as long as the
deflections remain small and the response is elastic.
Part A- Normal stress
Calculate the normal stress at the point due to the internal normal force on the section.
Express your answer with appropriate units to three significant figures.
• View…
arrow_forward
Learning Goal:
To develop the ability to break a frame or machine down
into subsystems and to determine the forces developed
at internal pin connections.
Frames and machines are systems of pin-connected,
multiforce members. Frames are designed to support
loads, whereas machines are designed to transmit or
alter the effects of loads.For
or machine to be in
equilibrium, each member of the frame or machine
system must be in equilibrium. Free-body diagrams of
the overall system, as well as individual members,
groups of members, and subsystems, must be drawn.
Figure
*
B
b
30°
26
E
a-
30°
K
<
H
b
4 of 4
Submit
Previous Answers
Correct
Note that the internal reactions at B are not included in the free-body diagram of the subsystem ABC.
▼ Part D A tractor shovel
-
The tractor shovel shown (Figure 4) carries a 540 kg load that has its center of mass at H. The shovel's dimensions
are: a = 55.0 mm, b = 220 mm, c = 330 mm, d = 110 mm, and e = 385 mm. Find the reaction force at E. Assume
that the…
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Statics Problem !!!
Help me Part A , Part B , Part C!!!! Answer it this Problem Correctly!! Please give correct Solution
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Please do not copy other's work and do not use ChatGPT or Gpt4,i will be very very very appreciate!!!
Thanks a lot!!!!!
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Learning Goal:
To be able to solve three-dimensional equilibrium problems using
the equations of equilibrium.
Part A
As with two-dimensional problems, a free-body diagram is the first
step in solving three-dimensional equilibrium problems. For the
free-body diagram, it is important to identify the appropriate
reaction forces and couple moments that act in three dimensions.
At a support, a force arises when translation of the attached
member is restricted and a couple moment arises when rotation is
prevented.For a rigid body to be in equilibrium when subjected to
a force system, both the resultant force and the resultant couple
moment acting on the body must be zero. These two conditions
are expressed as
The J-shaped member shown in the figure(Figure 1) is supported by a cable DE and a single journal bearing with a square shaft at A. Determine the reaction forces
Ay and Az at support A required to keep the system in equilibrium. The cylinder has a weight WB = 6.00 lb , and F = 1.40 lb…
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Please help me solve this question for part A and part B  label final answer with correct units for P = and D =
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Learning Goal:
To be able to find the center of gravity, the center of mass, and the
centroid of a composite body.
A centroid is an object's geometric center. For an object of uniform
composition, its centroid is also its center of mass. Often the
centroid of a complex composite body is found by, first, cutting the
body into regular shaped segments, and then by calculating the
weighted average of the segments' centroids. An object is made
from a uniform piece of sheet metal. The object has dimensions of
a = 1.25 ft, where a is the diameter of the semi-circle, b = 3.71 ft,
and c = 2.30 ft. A hole with diameter d = 0.750 ft is centered at
(1.09, 0.625).
Figure
kd-
J = 0.737
Find y, the y-coordinate of the body's centroid. (Figure 1)
Express your answer numerically in feet to three significant figures.
View Available Hint(s)
ΑΣΦ
Submit Previous Answers
vec
3
X Incorrect; Try Again; 2 attempts remaining
?
ft
arrow_forward
Learning Goal:
Use the two loadings below and the principle of superposition to answer the following questions.
To use the method of superposition to calculate a beam deflection and slope.
For beams with small deflections, the assumptions for using the method of superposition
apply: the deflections and slopes are linearly related to the load, and the deflections do not
significantly change the original geometry of the beam.
Load
The deflections and slopes for beams subjected to multiple loads can then be found using
linear combinations
known results for individual loads.
-(--4)
-5w L
384EI
-5wz Lª
768EI
-w L
-3wz L"
24EI
128EI
w L
24EI
7wz L"
384EI
OR
Part A - Determine the load combination
A beam is subjected to the loading shown (Figure 1) where wa = 2 kN/m and w, = 2.5 kN/m. Describe the loading as a linear combination of the loads in the above table.
Express your answers in kN/m.
• View Available Hint(s)
VOAEO If vec
?
Figure
w1, w2= |2.4, –.7
kN/m
Submit
Previous Answers
X…
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Learning Goal: To understand the derivation of the law relating height and pressure in a container.
In this problem, you will derive the law relating pressure to height in a container by analyzing a particular system.
A container of uniform cross-sectional area is filled with liquid of uniform density . Consider a thin horizontal layer of liquid (thickness ) at a height as measured from the bottom of the container. Let the pressure exerted upward on the bottom of the layer be and the pressure exerted downward on the top be . Assume throughout the problem that the system is in equilibrium (the container has not been recently shaken or moved, etc.).
What is Fup , the magnitude of the force exerted upward on the bottom of the liquid?
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Help!!! Answer all correctly with accurately. On the Part A. FBD make sure you Td , Tc, Ta values. Solve only Part A.
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Parts a and b were answered in a previous question, part c was unanswered this is the entire question :)
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FINALS ASSIGNMENT IN ME 3215
COMBUSTION ENGINEERING
PROBLEM 1:
A Diesel engine overcome a friction of 200 HP and delivers 1000 BHP. Air consumption is 90 kg per minute.
The Air/fuel ratio is 15 to 1. Find the following:
1. Indicated horsepower
2. The Mechanical efficiency
3. The Brake Specific Fuel Consumption
PROBLEM 2:
The brake thermal efficiency of a diesel engine is 30 percent. If the air to fuel ratio by weight is 20 and the
calorific value of the fuel used is 41800 kJ/kg, what brake mean effective pressure may be expected at
S.P. conditions (Standard Temperature and pressure means 15.6°C and 101.325 kPa, respectively)?
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Learning Goal:
To use transformation equations to calculate the plane state of stress in a rotated coordinate system.
The normal and shear stresses for a state of stress depend on the orientation of the axes. If the stresses are
given in one coordinate system (Figure 1), the equivalent stresses in a rotated coordinate system (Figure 2) can
be calculated using a set of transformation equations. Both sets of stresses describe the same state of stress.
In order to use the transformation equations, a sign convention must be chosen for the normal stresses, shear
stresses, and the rotation angle. For the equations below, a positive normal stress acts outward on a face. A
positive Try acts in the positive y-direction on the face whose outward normal is in the positive x-direction. The
positive direction for the rotation is also shown in the second figure.
The stresses in the rotated coordinate system are given by the following equations:
στ
σy
+
cos 20+Try sin 20
2
2
σετ συ
=
σy'
cos 20-Try…
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Learning Goal:
To use the principle of linear impulse and
momentum to relate a force on an object to the
resulting velocity of the object at different times.
The equation of motion for a particle of mass m can
be written as
EF
dv
= ma = m
dt
By rearranging the terms and integrating, this
equation becomes the principle of linear impulse
and momentum:
t2
ES F dt = m f dv = mv2 – mv1
V1
For problem-solving purposes, this principle is often
rewritten as
mvị +£ F dt = mv2
The integral F dt is called the linear impulse, I,
and the vector my is called the particle's linear
momentum.
A tennis racket hits a tennis ball with a force of F = at – bt?, where a = 1200 N/ms , b = 500 N/ms? , and t is the time
(in milliseconds). The ball is in contact with the racket for 3.05 ms . If the tennis ball has a mass of 62.6 g, what is the
resulting velocity of the ball, v, after the ball is hit by the racket?
Express your answer numerically in meters per second to three significant figures.
• View Available…
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You are an engineer in a company that manufactures and designs several mechanical devices, and your manager asked you to help your customers. In this time, you have two customers, one of them wants to ask about internal combustion engines while the other requires a heat exchanger with particular specifications. Follow the parts in the following tasks to do your job and support your customers.Task 1:Your first customer asked for an internal combustion engine to use it in a designed car. Your role is to describe the operation sequence of different types of available engines, explain their mechanical efficiency, and deliver a detailed technical report which includes the following steps:STEP 1Describe with the aid of diagrams the operational sequence of four stroke spark ignition and four stroke compression ignition engines.STEP 2Explain and compare the mechanical efficiency of two and four-stroke engines.STEP 3Review the efficiency of ideal heat engines operating on the Otto and Diesel…
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This problem is (16.23) from a book "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"
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I need help with Parts A and C on this question!
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Ree
Learning Goal:
To use a shear stress strain curve to determine the
shear modulus and to solve for the unknown force
and deftection for a block subjected to shear
A metal biock is part of an industral motor mount, has dinensions di 3 cm, di 36 cni, and da 5 cm, and is made of a
material with the shear stress-etrain curve shown. Use this block to answer the following ouestions Note: the given ourve has a
shape similar to that tor a typical metal, but the curve has been drawn using straight ines, and the yield point has beon moved to
a higher strain than is typical, to make the graph easier to read.
A stress-strain curve for shear represents the
response of a material to pure shear. The vertical
axis is the shear stress T. This stress is the force
paralel to a plane divided by the area of that plane.
The horizontal axis is the shear strain y. The shear
strain is the change in the angle between two ines
that were originally perpendicular (Eoure 1.
F(MPa)
60
40
As with tension and…
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Learning Task 2:
Changes in momentum happen every time. A fast-moving car when suddenly stopped might have damaging effects not
only to the vehicle itself but also to the person riding it. Various devices have been installed in vehicles to ensure the safety of
the passengers. Can you think of some safety devices installed on vehicles (public/private)? Name at least five (5) of them.
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Learning Goal:
A car of weight 3950 lb is traveling around a curve of constant curvature p (Figure 1)
Figure
1 of 1 >
▾
Y
The car is traveling at a speed of 61.5 ft/s, which is increasing at a rate of 3.75 ft/s², and the curvature of the road is p=670 ft. What is the magnitude of the net frictional force that the road exerts on the
tires?
Express your answer to three significant figures and include the appropriate units.
▸ View Available Hint(s)
F-
Submit
HÅ
max
Value
Submit
Part B - Finding the maximum allowable acceleration
C?
Suppose that the tires are capable of exerting a maximum friction force of 2180 lb. If the car is traveling at 66.5 ft/s and the curvature of the road is p=430 ft, what is the maximum tangential acceleration that
the car can have without sliding?
Express your answer to three significant figures and include the appropriate units.
View Available Hint(s)
Units
CHHA
Value
C B ?
Units
Part C-Finding the minimum curvature of the road
Suppose that the tires are…
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Related Questions
- Learning Goal: To develop the ability to break a frame or machine down into subsystems and to determine the forces developed at internal pin connections. Frames and machines are systems of pin-connected, multiforce members. Frames are designed to support loads, whereas machines are designed to transmit or alter the effects of loads. For a frame or machine to be in equilibrium, each member of the frame or machine system must be in equilibrium. Free-body diagrams of the overall system, as well as individual members, groups of members, and subsystems, must be drawn. Figure B b 30° 2b Н. 4 of 4 Submit Previous Answers ✓ Correct Note that the internal reactions at B are not included in the free-body diagram of the subsystem ABC. Part D-A tractor shovel The tractor shovel shown (Figure 4) carries a 500 kg load that has its center of mass at H. The shovel's dimensions are: a = 52.0 mm, b = 208 mm, c = 312 mm, d = 104 mm, and e = 364 mm. Find the reaction force at E. Assume that the positive…arrow_forwardHelp!!! Please answer part b correctly like part A. Please!!!!arrow_forwardProblem 1 Learning Goal: To be able to find the center of gravity, the center of mass, and the centroid of a composite body. A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments' centroids. Figure ←d→ x Part A IVE ΑΣΦ | 4 T, 1.610,0.5075 Submit An object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.20 ft ,b= 3.74 ft, and c = 2.45 ft. A hole with diameter d = 0.600 ft is centered at (1.00, 0.600). Find z, y, the coordinates of the body's centroid. (Figure 1) Express your answers numerically in feet to three significant figures separated by a comma. ▸ View Available Hint(s) Previous Answers Provide Feedback vec • * Incorrect; Try Again; 4 attempts remaining ? 1 of 5 ft Review > Next > Activate Windows Go to…arrow_forward
- Learning Goal: To learn to apply the method of joints to a truss in a systematic way and thereby find the loading in each member of the truss. In analyzing or designing trusses, it is necessary to determine the force in each member of the truss. One way to do this is the method of joints. The method of joints is based on the fact that if the entire truss is in equilibrium, each joint in the truss must also be in equilibrium (i.e., the free-body diagram of each joint must be balanced). Consider the truss shown in the diagram. The applied forces are P₁ = 630 lb and P₂ = 410 lb and the distance is d = 8.50 ft. Figure 1) 1 of 1 A E 30° d B D P₁ 30° d Carrow_forwardHaving found FcD in the analysis of joint C, there are now only two unknown forces acting on joint D. Determine the two unknown forces on joint D. Express your answers in newtons to three significant figures. Enter negative value in the case of compression and positive value in the case of tension. Enter your answers separated by a comma.arrow_forwardLearning Goal: To use equilibrium to calculate the plane state of stress in a rotated coordinate system. In general, the three-dimensional state of stress at a point requires six stress components to be fully described: three normal stresses and three shear stresses (Figure 1). When the external loadings are coplanar, however, the resulting internal stresses can be treated as plane stress and described using a simpler, two-dimensional analysis with just two normal stresses and one shear stress (Figure 2). The third normal stress and two other shear stresses are assumed to be zero. The normal and shear stresses for a state of stress depend on the orientation of the axes. If the stresses are given in one coordinate system (Figure 3), the equivalent stresses in a rotated coordinate system (Figure 4) can be calculated using the equations of static equilibrium. Both sets of stresses describe the same state of stress. The stresses σx′and τx′y′ can be found by considering the free-body…arrow_forward
- Help!!! Please solve the valuearrow_forwardLearning Goal: A column with a wide-flange section has a flange width b = 200 mm , height h = 200 mm, web thickness tw = 8 mm , and flange thickness tf = 12 mm (Figure 1). Calculate the stresses at a point 75 mm above the neutral axis if the section supports a tensile To calculate the normal and shear stresses at a point on the cross section of a column. normal force N = 2.9 kN at the centroid, shear force V = 4.6 kN, and bending moment M = 4.8 kN • m as shown (Figure 2). The state of stress at a point is a description of the normal and shear stresses at that point. The normal stresses are generally due to both internal normal force and internal bending moment. The net result can be obtained using the principle of superposition as long as the deflections remain small and the response is elastic. Part A - Normal stress Calculate the normal stress at the point due to the internal normal force on the section. Express your answer with appropriate units to three significant figures. > View…arrow_forwardLearning Goal: To calculate minor head losses and pressure drops for pipe fittings. Minor losses in pipe flow are the result of disruptions to the steady laminar or turblent flow in a pipe by entrances, bends, transitions, valves or other fittings. In general, calculating these losses analytically is too complex. However, all of these losses can be modeled using terms of the form h = KL where Kr, is called the loss coefficient and is determined experimentally. This coefficient relates the minor head loss to the velocity head for the flow. For expansions and contractions, the loss coefficient is calculated using nine the velocity for the smaller diameter pipe. The table below gives some representative values for various minor head losses. These are representative only, and a more complete table would account for different kinds of fittings and connections (like threaded or soldered). Fitting Well-rounded entrance ≥0.15 Flush entrance Re-entrant pipe Discharge pipe Sudden contraction (d₂…arrow_forward
- Learning Goal: To use the principle of linear impulse and momentum to relate a force on an object to the resulting velocity of the object at different times. The equation of motion for a particle of mass m can be written as ∑F=ma=mdvdt By rearranging the terms and integrating, this equation becomes the principle of linear impulse and momentum: ∑∫t2t1Fdt=m∫v2v1dv=mv2−mv1 For problem-solving purposes, this principle is often rewritten as mv1+∑∫t2t1Fdt=mv2 The integral ∫Fdt is called the linear impulse, I, and the vector mv is called the particle's linear momentum. A tennis racket hits a tennis ball with a force of F=at−bt2, where a = 1300 N/ms , b = 300 N/ms2 , and t is the time (in milliseconds). The ball is in contact with the racket for 2.90 ms . If the tennis ball has a mass of 59.7 g , what is the resulting velocity of the ball, v, after the ball is hit by the racket?arrow_forwardLearning Goal: To calculate the normal and shear stresses at a point on the cross section of a column. A column with a wide-flange section has a flange width b = 250 mm , height k = 250 mm , web thickness to = 9 mm , and flange thickness t; = 14 mm (Figure 1). Calculate the stresses at a point 65 mm above the neutral axis if the section supports a tensile normal force N = 2 kN at the centroid, shear force V = 5.8 kN , and bending moment M = 3 kN - m as shown (Figure 2). The state of stress at a point is a description of the normal and shear stresses at that point. The normal stresses are generally due to both internal normal force and internal bending moment. The net result can be obtained using the principle of superposition as long as the deflections remain small and the response is elastic. Part A- Normal stress Calculate the normal stress at the point due to the internal normal force on the section. Express your answer with appropriate units to three significant figures. • View…arrow_forwardLearning Goal: To develop the ability to break a frame or machine down into subsystems and to determine the forces developed at internal pin connections. Frames and machines are systems of pin-connected, multiforce members. Frames are designed to support loads, whereas machines are designed to transmit or alter the effects of loads.For or machine to be in equilibrium, each member of the frame or machine system must be in equilibrium. Free-body diagrams of the overall system, as well as individual members, groups of members, and subsystems, must be drawn. Figure * B b 30° 26 E a- 30° K < H b 4 of 4 Submit Previous Answers Correct Note that the internal reactions at B are not included in the free-body diagram of the subsystem ABC. ▼ Part D A tractor shovel - The tractor shovel shown (Figure 4) carries a 540 kg load that has its center of mass at H. The shovel's dimensions are: a = 55.0 mm, b = 220 mm, c = 330 mm, d = 110 mm, and e = 385 mm. Find the reaction force at E. Assume that the…arrow_forward
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