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School
University of Waterloo *
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Course
MISC
Subject
Mechanical Engineering
Date
Nov 24, 2024
Type
png
Pages
1
Uploaded by DukeOxide5011
Can
you
please
explain
all
the
steps
for
this
solution
John
Tavares
and
Mitch
Marner
of
the
Toronto
Maple
Leafs
train
on
frictionless
ice
by
pulling
having
a
tug-of-war
with
a
55kg
mass
between
him,
as
shown.
John
(on
the
left)
pulls
the
rope
with
a
force
of
112
N
and
38°
above
the
horizontal,
while
Mitch
pulls
horizontally
with
a
force
of
95.0
N.
(a)
Draw
the
Free-body
Diagram
of
the
mass.
(b)
Find
the
acceleration
of
the
mass.
PN
-
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Related Questions
Consider Figure 5.28. The driver attempts to get thecar out of the mud by exerting a perpendicular force of610.0 N, and the distance she pushes in the middle of therope is 1.00 m while she stands 6.00 m away from the caron the left and 6.00 m away from the tree on the right.What is the tension T in the rope, and how do you find theanswer?
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You are designing a system for moving aluminum cylinders from the ground to a loading dock. You use a
sturdy wooden ramp that is 2.00 m long and inclined at 37.0° above the horizontal. Each cylinder is fitted with
a light, frictionless yoke through its center, and a light (but strong) rope is attached to the yoke. Each cylinder is
uniform and has mass 410 kg and radius 0.300 m. The cylinders are pulled up the ramp by applying a
constant force F to the free end of the rope. F is parallel to the surface of the ramp and exerts no torque on
Part A
the cylinder. The coefficient of static friction between the ramp surface and the cylinder is 0.120
What is the largest magnitude F can have so that the cylinder still rolls without slipping as it moves up the ramp?
Express your answer with the appropriate units.
F =
Value
Units
Submit
Request Answer
Part B
If the cylinder starts from rest at the bottom of the ramp and rolls without slipping as it moves up the ramp, what is the shortest time it…
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point B.
Problem 4.9 Figure 4.56 illustrates a person who is trying
to pull a block on a horizontal surface using a rope.
The rope makes an angle 0 with the horizontal. If W is the
weight of the block and u is the coefficient of maximum Answer: T
Determ
force at pe
friction between the bottom surface of the block and
horizontal surface, show that the magnitude P of minimum
force the person must apply in order to overcome the
frictional and gravitational effects (to start moving the
block) is
P 3=
cos e+ u sin 0
Fig. 4.58 Probl
Fig. 4.56 Problem 4.9
Problem 4. 12
beam hinged to
is / 4.5 m and
Type here to search
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Consider the 52.0-kg mountain climber
shown. (a) Find the tension in the rope? (b)
the force that the mountain climber must
exert with her feet on the vertical rock face
to remain stationary. Assume that the force
is exerted parallel to her legs. Also, assume
negligible force exerted by her arms. (c)
What is the minimum coefficient of friction
between her shoes and the cliff? Draw the
free body diagram and solve the problem.
(Non-anonymous question O)
LO
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The boxes are at rest. The pulley is massless. Fpull makes an angle 0 with respect to the incline.
(i) Draw free body diagrams for m, and m, for the situation outlined in part (ii).
(ii) What maximum force, Foull, Can you apply to m, and have it remain at rest? In terms of the given information.
Just give the equation (or equations) needed to solve for the force. Do not simplify or isolate for Fpull, but make
sure it is the only unknown.
pull
Given information:
B (angle of incline with horizontal)
e (angle Fpull makes with incline)
m, (mass of box 1)
m2 (mass of box 2)
H (distance m, is above the ground)
• H, (static friction coefficient, incline and box 1)
He (kinetic friction coefficient, incline and box 1)
m1
m2
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Situation 2: Find the minimum force P required to just pull out box B. Also, find
the tension of the cord supporting box A. Take note that the coefficient of friction
between the blocks is 0.10. While between block B and the ground, u = 0.25.
350 N
B
70N
A. Magnitude of P (N)
B. Tension on the cable (N)
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Will upvote for immediate solution
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Dani, who weighs 65 kg, is lifting a box that weighs 11.52 kg. If Dani's back forms an angle of 70 degrees with the horizontal plane and the distance from the object to the center of Dani's body is 0.6 m, then answer the following questions.
a. Create a free body diagram of the above condition and apply the sign convention for forces and moments.
b. Calculate the magnitude of the compression force (F compression) and shear force (F shear) generated.
c. Analyze whether the work is safe to perform.
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Q3
(a)
Figure Q3(a) shows a 220 kg box resting on an inclined surface of 35° from
horizontal. The coefficient of static friction between the box and the inclined
surface is 0.25. A force P is applied on the box at a direction parallel to horizontal.
(i)
Draw the free body diagram of the system complete with magnitudes and
directions of forces.
( ii )
Write all relevant equations of equilibrium for the systems.
( iii ) Calculate the magnitude of horizontal force P that is required to start an
upward movement of the box.
220 kg
35°
Figure Q3(a)
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A heavy cask (full of wine!) sits on an inclined plane. It is held in place by a rope that is attached to the cask and to a hook further up the inclined plane (at A). The rope comes off of the cask tangent to the cask. The mass of the cask is 40 kg, and the coefficient of static friction between the inclined plane and the cask is 0.25. What is the maximum value of θ just before the cask begins to slip? Also, what is the tension in the rope when slipping is impending? Finally, if the inclined plane became icy, and the rope didn’t break as the cask slipped, what would be remarkable about the lines of action of the W, N and T force vectors once equilibrium was re-established?
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Plz solve correctly
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A small particle with mass m is tied to a light rod (assume no mass) with length l.The rod is tied at the other end with a ball and socket joint with no friction. The rod is held in place in a horizontal position with a spring. The spring has a stiffness coefficient of k. Parallel to the spring is a dashpot. The rod is then pulled down below the equilibrium point, such that the rod creates an angle theta with the equilibrium point. The rod is held in this place before being released. Decide the damping coefficient c such that the oscillation will be a critically damped oscillation
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Solve it.
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Q2: - The ladder and the person weigh 30 lb and 180 lb, respectively. The center of mass of the 12-ft
ladder is at its midpoint. The angle Assume that the wall is smooth on the ladder.
(a) If what is the magnitude of the friction force exerted on the ladder by the floor as shown in fig 2?
(b) What minimum coefficient of static friction between the ladder and the floor is necessary for the
person to be able to climb to the top of the ladder without slipping?
160
mm
20 ft/s
140 mm
200
40
mm
mm
10
| 40 mm
120
mm
Fig 1
Fig 2
Fig 3
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An engineer trying to determine whether her crane will tip over when attempting to lift a 13K load. Her crane has a 15K chassis and 35K counterweight. Assume all other parts of the crane have negligible weight.
Answer all questions relative to the rotation point.
How much torque is caused by the load?
How much torque is caused by the chassis?
How much torque is caused by the counterweight?
What is the normal force on the rear (right) outriggers?
What is the normal force on the front (left) outriggers?
*each box in picture = 5 ft
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Please asap
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Two blocks are connected by a (massless) string that passes over a (massless, frictionless) pulley as
shown. Assume the interface between block A and the horizontal tabletop to be frictionless.
pulley
If mA = 6.3 kg and mg = 8.8 kg, what is the tension in the string?
Express your answer in N, to at least one digit after the decimal point.
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A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough
horizontal ground and the other end against a smooth vertical wall.
The ladder is indined 65°.
The coefficient of friction, H, between the ladder and the ground is 0.35.
A woman of mass 65 kg is slowly dimbing up the ladder.
She wants to know how far up the ladder she can dimb safely.
Drawa diagramshowing all the force adting on the ladder when the
woman is x metres fromthe foot of the ladder.
(a)
(b)
Find the reaction of the ground on the ladder.
(c)
Show that the reaction of the wall on the ladder is less than 33.25g
By taking moments about the base of the ladder, find how far up th
ladder she an dimb safely.
(d)
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Help to draw free body diagram
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As shown, a truss is loaded by the forces P = 2.18 kN and Pa = 0.930 kN and has the dimension a = 2.90 m
P1
H
P2
a
E
B
a/2
a/2
Determine FRc, the magnitude of the force in member BC, using the method of sections. Assume for your calculations that each member is in tension, and include in your
response the sign of each force that you obtain by applying this assumption.
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2. A crate is kept in equilibrium by several frictionless rope-and-pulley arrangements
shown in Figure 2. The rope can support a maximum tension force, T, of 100 N, and
the mass of each pulley in the system is 1 kg. Draw the free-body diagrams for each
arrangement and determine which one(s) can balance the heaviest crate and
calculate the weight of that crate.
TEND
(a)
(b)
(c)
(el)
(e)
Figure 2 A crate balanced by several rope-and-pulley arrangements.
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Related Questions
- Consider Figure 5.28. The driver attempts to get thecar out of the mud by exerting a perpendicular force of610.0 N, and the distance she pushes in the middle of therope is 1.00 m while she stands 6.00 m away from the caron the left and 6.00 m away from the tree on the right.What is the tension T in the rope, and how do you find theanswer?arrow_forwardYou are designing a system for moving aluminum cylinders from the ground to a loading dock. You use a sturdy wooden ramp that is 2.00 m long and inclined at 37.0° above the horizontal. Each cylinder is fitted with a light, frictionless yoke through its center, and a light (but strong) rope is attached to the yoke. Each cylinder is uniform and has mass 410 kg and radius 0.300 m. The cylinders are pulled up the ramp by applying a constant force F to the free end of the rope. F is parallel to the surface of the ramp and exerts no torque on Part A the cylinder. The coefficient of static friction between the ramp surface and the cylinder is 0.120 What is the largest magnitude F can have so that the cylinder still rolls without slipping as it moves up the ramp? Express your answer with the appropriate units. F = Value Units Submit Request Answer Part B If the cylinder starts from rest at the bottom of the ramp and rolls without slipping as it moves up the ramp, what is the shortest time it…arrow_forwardpoint B. Problem 4.9 Figure 4.56 illustrates a person who is trying to pull a block on a horizontal surface using a rope. The rope makes an angle 0 with the horizontal. If W is the weight of the block and u is the coefficient of maximum Answer: T Determ force at pe friction between the bottom surface of the block and horizontal surface, show that the magnitude P of minimum force the person must apply in order to overcome the frictional and gravitational effects (to start moving the block) is P 3= cos e+ u sin 0 Fig. 4.58 Probl Fig. 4.56 Problem 4.9 Problem 4. 12 beam hinged to is / 4.5 m and Type here to searcharrow_forward
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- A heavy cask (full of wine!) sits on an inclined plane. It is held in place by a rope that is attached to the cask and to a hook further up the inclined plane (at A). The rope comes off of the cask tangent to the cask. The mass of the cask is 40 kg, and the coefficient of static friction between the inclined plane and the cask is 0.25. What is the maximum value of θ just before the cask begins to slip? Also, what is the tension in the rope when slipping is impending? Finally, if the inclined plane became icy, and the rope didn’t break as the cask slipped, what would be remarkable about the lines of action of the W, N and T force vectors once equilibrium was re-established?arrow_forwardPlz solve correctlyarrow_forwardA small particle with mass m is tied to a light rod (assume no mass) with length l.The rod is tied at the other end with a ball and socket joint with no friction. The rod is held in place in a horizontal position with a spring. The spring has a stiffness coefficient of k. Parallel to the spring is a dashpot. The rod is then pulled down below the equilibrium point, such that the rod creates an angle theta with the equilibrium point. The rod is held in this place before being released. Decide the damping coefficient c such that the oscillation will be a critically damped oscillationarrow_forward
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Recommended textbooks for you
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
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ISBN:9781305501607
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