Chapter 15, Problem 70P

The 3.0-kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction is 0.38. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection x of the spring. 3.0 kg H=0.38 Answers: (a) V = A (b) x = 56° HI 0.45 m k = 3.7 kN/m m/s mm

Each of the sliders A and B has a mass of 1.8 kg and moves with negligible friction in its respective guide, with y being in the vertical direction. A 11-N horizontal force is applied to the midpoint of the connecting link of negligible mass, and the assembly is released from rest with e = 0. Calculate the speed v with which A strikes the horizontal guide when e = 90°. 0.18 me 11 N 0.18 m, X-

A ball has a weight of 2-lb strikes a 6-lb rod at a point C which far away from A with a value of x = 3.5 ft. The velocity of the ball mass center (Vep)ı = 8 ft/s when it strikes the rod which is at rest. Assuming the coefficient of restitution after the impact e=0.2. determine the following: O After the impact, the velocity of the ball mass center (Va,)z- O After the impact, the velocity of point C (Vc)2- o The angular velocity (w) of the rod about the Zaxis. In your calculation, neglect the inertia of the vertical part of the rod AO. 05 G,

The 2 kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction is 0.40. a. Calculate the velocity of the collar when the spring has been compressed by 50mm. b. Calculate the maximum deformation of the spring. c. Calculate the velocity of the collar just before it hits the spring.

The 1-1b ball A is thrown so that when it strikes the 10-1b block B it is traveling horizontally at v = 30 ft/s as shown in (Figure 1). Figure A B 1 of 1 Part A If the coefficient of restitution between A and B is e = 0.6, and the coefficent of kinetic friction between the plane and the block is μ = 0.4, determine the distance block B slides on the plane before stopping. Express your answer in feet to three significant figures. VE ΑΣΦ ↓↑ vec S = Submit Previous Answers Request Answer ? ft

The 9.0 kg sphere A is held at an angle of 60° as shown, and then is released from rest and hits the B sphere which has a mass of 4.5 kg. In this crash the coefficient of restitution is e = 0.75. The sphere B is attached to the end of a rod lightweight rotating around the O point. The spring is initially non elongated and it is known that the maximum angle θ that the rod turned after the crash measured from the initial position was of 21.4º. Calculate: a) The speed with which sphere A impacts with sphere B. b) The magnitude and direction of the velocities of each sphere A and B after impact. c) The mechanical energy dissipated on impact. d) The spring stiffness constant k.

Each of the sliders A and B has a mass of 3.1 kg and moves with negligible friction in its respective guide, with y being in the vertical direction. A 15-N horizontal force is applied to the midpoint of the connecting link of negligible mass, and the assembly is released from rest with θ = 0. Calculate the speed v with which A strikes the horizontal guide when θ = 90°.

2) The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N/m and an unstretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant 50-N force. Calculate the velocity u of the collar as it passes position B. Ans. V=4.93 m m 1.5 m 30° 50 N k= 30 N/m 2m 3

: The Balls A and B are of the same size and each is attached to a 1 m cable as shown. The mass of A is 2 kg and the mass of B is 1 kg. The Ball A is released from rest with a 40o angle with the vertical direction as shown. Determine the speed of the Ball B right after the impact if the coefficient of restitution is e = 0.5. Assume the Ball B is at rest before the Ball A hits it.