A mass that weighs 8 lb stretches a spring 24 inches. The system isacted on by an external force of 4 sin(4t) lb. If the mass is pulleddown 6 inches and then released, determine the position of the massat any time t. Assume that the u-axis is directed downwards andft=g 32 Express your answer as a linear combination of sin(at)$²and cos(at), where u is in feet and t is in seconds.u(t)=Determine the first four times at which the velocity of the mass iszero. Exclude t = 0 as trivial, and enter exact answers.First zero: t =Third zero: t=Second zero: t=Fourth zero: t =

Answered: Image /qna-images/answer/d37bf814-addd-4c12-a613-f30fac334d9e.jpg

A mass that weighs 8 lb stretches a spring 24 inches. The system is acted on by an external force of 4 sin(4t) lb. If the mass is pulled down 6 inches and then released, determine the position of the mass at any time t. Assume that the u-axis is directed downwards and Express your answer as a linear combination of sin(at) ft 9 = 32 $² and cos(at), where u is in feet and t is in seconds. u(t): = Determine the first four times at which the velocity of the mass is zero. Exclude t = = 0 as trivial, and enter exact answers. First zero: t = Third zero: t = Second zero: t = Fourth zero: t =

A mass that weighs 8 lb stretches a spring 24 inches. The system is acted on by an external force of 4 sin(4t) lb. If the mass is pulled down 6 inches and then released, determine the position of the mass at any time t. Assume that the u-axis is directed downwards and Express your answer as a linear combination of sin(at) ft 9 = 32 $² and cos(at), where u is in feet and t is in seconds. u(t): = Determine the first four times at which the velocity of the mass is zero. Exclude t = = 0 as trivial, and enter exact answers. First zero: t = Third zero: t = Second zero: t = Fourth zero: t =

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.78P: The chain OA is 25 ft long and weighs 5 lb/ft. Find the maximum force in the chain and the distance...

See similar textbooks

Related questions

Q: 6 m! 1.0 m T3 2 m T2 3 m 2 m 2 m The magnitude of one of the forces is T1 = 100 kN. Find the…

Q: An automobile P is traveling along a circular track of radius R=958.4 m. At position "A" on the…

Q: Determine the number of unknowns that need to be determined in the system. The weight of the beam is…

A: To find: The number of unknowns. FBD: The free-body diagram is shown below.

Q: For F1 = 350 N and F2 = 200 N, and O= 20 degrees and o = 50 degrees: The magnitude of the resultant…

A: Given that, F1 = 350 N, F2 = 200 N, θ=20°ϕ=50° F1×y=F1cosθF1×y=350cos20°F1×y=328.89…

Q: Q2. As shown on the right in image below, the force Facting on the box varies with displacement s,…

A: Given data Coefficient C = 18 Find the work done by the force to the box when the has displaced s…

Q: A car weighing 500 kg moving with a speed of 10 m/s takes a turn around a circle with a radius of 25…

Q: Q1: The rubber mallet is used to drive a cylindrical plug into the wood member. If the impact force…

A: Linear Impulse delivered by mallet to plug =?

Q: Two forces are applied to a hook. variable F₁₂ A FR= values for the figure are given in the…

A: Given: The force, F1 = 75 lb The force, F2 = 35 lb The length, a = 2.5 ft The length, b = 4.5 ft The…

Q: Determine the resultant force of the system shown below. 2241 200 lb 60⁰ 12 390 lb 300 lb -X

Q: Let F1, F2, F3 and F4 be four forces acting on a dimensionless particle. The force F4 represents the…

Q: Q1: The rubber mallet is used to drive a cylindrical plug into the wood member. If the impact force…

Q: m2=2 kg, m3=5 kg, r1370 mm, r2-50 r3 = 110 B to dynamically balance the shaft balancing masses of 6…

A: Given m1 = 8Kg, m2 = 2kg, m3=5kg, r1=70mm, r2=50mm and r3=110mm, d=330mmmA=mB=6Kgfind rA, rB, θA and…

Q: For the system shown below, determine the magnitude & direction of: 1- The resultant force (F) of…

Q: Q1/ If an applied force varies with position according to Fx = 3X³ + 2t² +t + 4 , where X in meter…

Q: Determine the resultant of the system and its position from point A.

Q: Pa P, 40°- 2 ft -25° P1 each item to a choice:

Q: Q1// For the system shown below, determine the magnitude & direction of : 1- The resultant force (F…

Q: The position of the material point is determined by the equation: The mass of the material point is…

A: Given:Mass, m = 2 kgTo find:Resultant force after 10 seconds

Q: The aluminum body of a lamp has a uniform thickness of 1mm. Since it is known that the density of…

Q: ENGINEERING MECHANICS: STATICS (J.L.MERIAM) 2/4: The line of action of the 9.6-kN force F runs…

Q: 2/5: A cable stretched between the fixed supports A and B is under a tension T of 900 N. Determine…

A: Hi. as you have posted multiple questions and not specified which question needs to be solved, we…

Q: Choose the following systems that are equivalent to the one shown. Choose all that apply. (Remember…

A: Apply the condition of equilibrium of forces along the positive direction of the y-axis.The…

Q: The top of a ladder weighing 20 kg and 6m long rests against a vertical wall and the foot of the…

Q: Q2) Draw the free-body diagram and derive the equation of motion using Newton s second law of motion…

Q: Determine the reaction force acting on the pin at A as the vector, if the beam AB has a mass of 100…

Q: y (m) 2 intervals. The Figure shows the result of a collision of a 10.00 kg ball with an object…

Q: The figure below shows the positions of the Centers of mass of the three disks on a rotating shaft.…

Q: why does the force exerted from AB to the hydraulic cylinder decrease "exponentially" as the angle…

A: Given-Data:- Load, W = 120 kNAB = 1.3 m To-Determine:- Force exerted from AB to the hydraulic…

Q: 4-22. An airplane travels at a heading of -60° with an air speed of 500mph. The wind is blowing at…

A: Step 1:Angle of the air plane is −60oAngle of the wind is 30oSpeed of the air plane is 500mphSpeed…

Q: Determine the resultant of all parallel forces acting on the rocker arm. 50 lb 40 lb 20 lb 60 lb | +…

A: Dear student, options are different as per the given question. Unit of force is lb but given options…

Q: Q14. As shown in the image below, the force acting on the box is F = (C. t²) N, where constant C =…

A: Given data Force F = (C×t2 ) N Find the total impulse from t= 0 to 1.5 sec

Q: Lagrange's equation is based on the kinetic energy of the robot. Select one: O True O False

A: There are two methods are available to determine the equation of a robot. 1 Lagrangian method 2.…

Q: 3. For the system shown, determine the magnitude of W that will just prevent motion. 100 KN a=0.15…

Q: A child applies a push on his toy car causing it to move horizontally. He controls his applied push…

A: The total area of the graph will be the total work done by the toy car is as follows:…

Q: A constant force acting on a particle can be expressed in Cartesian vector form as F = 3i + Sj - 4k…

A: Given Data⇒F = 3i + Sj - 4k Ns = 4i - 2j + 3k mProblem definition⇒Problem says estimate work done.

Q: An eye bolt is used to attach 3 cables to a steel plate. The tension in the three cables create…

Concept explainers

Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.

Question

A mass that weighs 8 lb stretches a spring 24 inches. The system is
acted on by an external force of 4 sin(4t) lb. If the mass is pulled
down 6 inches and then released, determine the position of the mass
at any time t. Assume that the u-axis is directed downwards and
ft
=
g 32 Express your answer as a linear combination of sin(at)
$²
and cos(at), where u is in feet and t is in seconds.
u(t)
=
Determine the first four times at which the velocity of the mass is
zero. Exclude t = 0 as trivial, and enter exact answers.
First zero: t =
Third zero: t
=
Second zero: t
=
Fourth zero: t =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given and standard equations:

VIEW

Step 2: Differentiate wrt t

VIEW

Step 3: velocity u(t)

VIEW

Step 4: time (sec)

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The 250-N block rests upon a level plane for which fk = 0.2. It is pulled by force P = 100N inclined at 20o with the horizontal. If the 100-N pull is then removed, find the distance the block will travel. the answer must 3 decimal places.
V₂ - V₁ = 2 V₂ - V₁ = 1 3 P A modern art sculpture consists of a collar, a spring, and a circular track. The collar has a mass of m = 6 kg and the radius of the track is r = 1 m. If the spring is attached to a point P which is a vertical distance d = 0.3 m away from the perimeter of the circular track (d is measured between point 1 and point P), determine the change in potential energy between state 1 and state 2, and between state 1 and state 3. N The unstretched length of the spring is 0.15 m and the spring constant is k = 85- m UBC Engineering
PLEASE ANSWER IT COMPLETELY. SHOW COMPLETE SOLUTION. FINAL ANSWER MUST BE IN 3 DECIMAL POINTS. DO NOT ROUND OFF INTERMEDIATE NUMBER.
2/5: A cable stretched between the fixed supports A and B is under a tension T of 900 N. Determine the x and y scalar components of T, first, as a force TA acting on A and second, as a force TB acting on B. Ans. TxA = 749 N, Ty = -499 N TxB = - 749 N, Ty = 499 N 3 m 2 m 2/9: In the design of a control mechanism, it is determined that rod AB transmits a 260-N force P to the crank BC. Determine the x and y scalar components of P. Ans. Px= -240 N, Py= -100N. P = 260 N 12 B n- 30°4
2. Find the horizontal force P to start the motion of any part of the system of three blocks resting upon one another as shown. The weight of the blocks are W-300 KN, Ws= 100 KN and Wc =200 KN. Between A and B μ=0.30, between C and B, μ =0.20 and between C and the ground, p=0.10. 1 sni brod nog 02.0-4 B C 05.0-4 Solution: tamos quoy worla bre sosia asquar 005 300 en of jells400 N₁-300 F3 N-300- N₂=300 Assuming B and C will not move. F₁ = 300 (0.30) F₁ = 90 kN ne à bns A zelboß 1 P = 90 kN es ensla berb hebnu 02.0- y elin 05.0= q V in Celpris orllanimetsa MX 008 Assuming C will not move: al 1st F2=400 (0.20) = 80 kN OTE Bm ribirte F₂ vica Assuming the three blocks move: F3 = 0.10 (600) F3 = 60 kN P=60 KN Least force is 60 kN.
Determine the number of unknowns that need to be determined in the system. The weight of the beam is negligible. Count: 1 horizontal reaction/force = 1 unknown 1 vertical reaction/force = 1 unknown 1 diagonal reaction/force = 2 unknowns (because there is an x and y component in a diagonal force) 8 ft I Ai 6 ft Cable C 6 ft B
Dynamics of rigid bodies please complete solution
‘The 3000 b truck Ais used to pull the 500 b block 8 up the incline. If the truck has the motion shown at the instant ind the tensionin the cable and the required ground traction.
T2 = ? T1 = ? M2 = 2 kg M1 = 5 kg M2 = 20 kg 1. Find the acceleration 2. Tension on the strings
Solve it fast. I will rate accordingly with multiple votes.
The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of a = 55° shown in the figure. Find the tension forces at the strings AB and AC. 500g A uui 00t 00 mm
Sketch a free body diagram, Apply the principle of work and energy to the system to find the tension in the rope. Please use solve with the method provided only and apply the relevant kinematic equation(s) Keep final answer in lb*ft/s.