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Homework 4
MEE 2082 Applied Mechanics: Dynamics
Summer 2022
Problem 1. A 35-lb block slides down a 20° inclined plane with an initial velocity of 2 ft/s. Determine the velocity of
the block in 4 seconds if the coefficient of kinetic friction between the block and the plane is 0.28.
Problem 2. The force exerted by a jack hammer during a 0.4-s cycle is shown in the graph. If the mass of the spike is
4 kg and its downward velocity is 85 m/s, determine the velocity of the spike just after the rebounding.
Problem 3. The two blocks A and B each have a mass of 0.4 kg. The blocks are fixed to the horizontal rods, and their
initial velocity along the circular path is 2 m/s, If a couple moment of M = 0.6 Nm is applied about CD of the frame,
determine the speed of the blocks when t = 4 s. The mass of the frame is negligible, and it is free to rotate about CD.
Neglect the size of the blocks.
Problem 4. A 50-kg block rests on a horizontal plane. At an instant t = 0 s, a horizontal force starts acting on the
block. The magnitude of the force varies according to the function F(t) = 96t [N], where t is time in seconds. If the
force acts for 7 seconds, what is the velocity of the block? The coefficient of static friction is µs = 0.24, and the
coefficient of kinetic friction is µk = 0.20.
Problem 5. The 4500-kg truck and a 2200-kg car are traveling with the free-rolling velocities shown just before they
collide. After the collision, the car moves with a velocity of 18 km/h to the right relative to the truck. Determine the
coefficient of restitution between the truck and car and the loss of energy due to the collision.
Problem 6. The cue ball A is given an initial velocity of 5 m/s, ash shown. If it makes a direct collision with ball B
(e = 0.7), determine the velocity of B and the angle q just after it rebounds from the cushion at C (e`=0.55). Each ball
has a mass of 320 g. Neglect their sizes.
Problem 7. The curling stone A slides over the ice track and strikes another stone B, as shown. If each stone is smooth
and has a weight of 50 lb, and the coefficient of restitution between the stones is e = 0.72, determine their speeds just
after collision. Initially, B is at rest and A has an initial velocity as shown. Neglect friction.

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