Suppose a cart of mass 2 kg is attached by a spring of constant k = 1 to a cart of mass 3 kg, which isattached to the wall by a spring also of constant k = 1. Suppose that the initial position of the first cart is 6meters in the positive direction from the rest position, and the second mass starts at the rest position. Themasses are not moving and are let go. Find the position of the second mass as a function of time.

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Answered: Suppose a cart of mass 2 kg is attached…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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2. As shown in the figure, the block of mass m is placed on a horizontal plane and attached to an ideal spring. The spring has a stiffness of k = 30 N/m and is undeformed when x = 0 with the velocity of 6 m/s to the right. a. Compute the value of x when the block first comes to rest. b. Compute the force that tends to move the block to the left when the block first comes to rest. c. Compute the speed of the block when it reaches x = 0 for the second time. K=30 N/m m=1.6 kg Hs = 0.3 Hk = 0.2
2. As shown in the figure, the block of mass m is placed on a horizontal plane and attached to an ideal spring. The spring has a stiffness of k = 30 N/m and is undeformed when x = 0 with the velocity of 6 m/s to the right. a. Compute the value of x when the block first comes to rest. b. Compute the force that tends to move the block to the left when the block first comes to rest. c. Compute the speed of the block when it reaches x = 0 for the second time. K=30 N/m m=1.6 kg wwww Hs = 0.3 Hk = 0.2
Two blocks are connected by a rope attached to each block with frictionless pulley as shown. If the coefficient of friction under each block is 0.35 and A weighs 25 kN, find the maximum mass of B (impending motion to the right) to maintain equilibrium. Assume B = 70° and 8 = 30° B A
The magnitude of F3 = 80 N. If a fourth force will be introduced to the system to make it in equilibrium, Determine the: • Magnitude and direction of the 4th force • Y-component of the 4th force • X-component of the 4th force Include 4 decimal points in all answers.
A smooth 2 kg collar shown in the figure is attached to a spring having a stiffness k=3 N/m and an unstretched length of 0.75 m. If the collar is released from rest (at position A) what is the final position of the collar in the y direction. Must be able to solve two ways (dynamics: where velocity = 0 and statics where the force of the spring in the y direction = the weight of the collar. )
2. A rigid, massless triangular frame is hung from one corner from the ceiling. There are masses attached to the other two corners, and the triangle hangs in equilibrium in the position shown, with the short side at an angle of 10 degrees from the horizontal. Determine the unknown mass. ?kg m I n
A basketball player hangs from the hoop when performing a "dunk" by exerting 2 forces of 100 pounds on it at the indicated points. The bounded dimensions are as follows: h = 14.5 in, r = 9.5 in, α = 120 °. If the indicated forces are replaced by another force applied at point O, which will generate the same effect as the original system. Determine the values of the new force and the torque M that is generated.
Consider a pendulum of mass “m" attached to a spring of mass “M" that is free to move in single dimension along a frictionless horizontal surface. Take the gravity g = 10 m/s² and the gravitational potential energy is equal to zero at the level of block (y = 0). X M Datum of potential energy: PE = 0 e', g) Write the Lagrangian equation h) Deduce the equations of motion from Euler-Lagrange equations
In the figure, the homogeneous bar AB has a mass of 5 kg and is fastened by a frictionless pinat A, and rests against the smooth vertical part of the cart. Let its length be equal to L(inmeters). The cart has a mass of 50 kg and is pulled to the right by a horizontal force, P.At what value of P will the cart exert no force at B?
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I. Problem Solving. Use 3-decimal places. All solutions must have rigorous explanation. PROBLEM NO. 1 The 69.69-kg block A rests on a smooth plane and is connected by a flexible inextensible cord that passes around the weightless and frictionless pulleys up to a support. The 96.96-kg block B is attached as shown in the figure. After the system is released from rest, in what distance will the block on the plane attain a velocity of 8 m/s. Also, determine the direction of the movement. 35° A L
The acceleration of a particle is defined by the relation a = kt?. (a) Knowing that v = 10 m/s when t = 0 and that V = -10 m/s when t = 2.5 s, determine the constant k. (b) Write the equations of motion, knowing also that X = 0 when t = 2.5 s. I|

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