Problem Set 8 & Solutions

# Problem Set 8 & Solutions - Phys116 Problem Set 8 Due...

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Phys116 Problem Set 8 Due: Friday, Oct. 31, 2003 before the start of class. Please write your TA’s name at the top of your solution set. Communicate your reasoning in your solutions, concisely and clearly. Efforts are as important as correct answers. 1. K&K, problem 4.25. 2. K&K, problem 4.26. 3. K&K problem 6.11. (Don’t worry if this one seems pretty easy.) 4. K&K problem 6.2. The sand starts out with the same angular velocity as drum A. 5. K&K problem 6.13. 6. A long massless string is wrapped around a solid cylindrical pulley of mass m p , radius R, and moment of inertia I=m p R 2 /2. The string is connected to a mass M, and the pulley is mounted to the ceiling with a frictionless bearing. The system starts at rest, and gravity is acting. (a) Draw force diagrams for both the mass and the pulley.

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Unformatted text preview: (b) What is the acceleration of the mass M, and the angular acceleration of the pulley? (c) At the moment when the mass has fallen a distance d, what is the rotational velocity of the pulley? 7. K&K problem 6.6. (This is a nice problem, requiring thought about both the translation of the center of mass, and torque about the center of mass.) (continued on the other side) M m p 8. K&K, problem 4.29. Assume that the collisions are elastic, and that the walls are infinitely massive. In part (a), the average is a time average. The reason why a gas inside a container exerts a pressure on the container walls is precisely due to the effects described in this problem....
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