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A solid disk is initially at rest and then is spun for a time of s seconds with a torque of T, covering an angular displacement of θ

A solid disk is initially at rest and then is spun for a time of s seconds with a torque of T, covering an angular displacement of θ

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A solid disk is initially at rest and then is spun for a time of s seconds with a torque of T, covering an angular displacement of θ

a. If you double the Torque to 2T what will happen to the angular displacement? 

b. Suppose instead of changing the torque you replace the disk with a rod rotating it about the center of the rod. All other factors remaining the same, how would this change the angular displacement?

3. A solid disk is initially at rest and then is spun for a time of "s" seconds with a torque of "T". It covers an angular displacement of "e". a. If you double the torque to "2T", what will happen to the angular displacement? Explain using the relevant equations. (HINT: Start with the equation relating torque and angular acceleration. b. Suppose instead of changing the torque, you replace the disk with a rod, rotating it about the center of the rod. All other factors remain the same. How, if at all, would this change the angular displacement? Explain using the relevant equations. (HINT: what equation does changing the shape of the object change?) 4, Suppose you have a stationary rod hanging down on an axis. This rod has a length of I and a mass of M. A sticky ball, also of mass M, hits the rod, sticks to it, and causes the rod to begin rotating. Write out an equation which demonstrates the angular velocity of the ball-rod system. SHOW WORK. (HINT: Sove using conservation of momentum. Remember to account for BOTH the ball and the rod in the moment of inertia in the rotating system after the collision. Treat the ball like a "point object" and the rod as a "rod rotating about an end. ") M M
Transcribed Image Text:3. A solid disk is initially at rest and then is spun for a time of "s" seconds with a torque of "T". It covers an angular displacement of "e". a. If you double the torque to "2T", what will happen to the angular displacement? Explain using the relevant equations. (HINT: Start with the equation relating torque and angular acceleration. b. Suppose instead of changing the torque, you replace the disk with a rod, rotating it about the center of the rod. All other factors remain the same. How, if at all, would this change the angular displacement? Explain using the relevant equations. (HINT: what equation does changing the shape of the object change?) 4, Suppose you have a stationary rod hanging down on an axis. This rod has a length of I and a mass of M. A sticky ball, also of mass M, hits the rod, sticks to it, and causes the rod to begin rotating. Write out an equation which demonstrates the angular velocity of the ball-rod system. SHOW WORK. (HINT: Sove using conservation of momentum. Remember to account for BOTH the ball and the rod in the moment of inertia in the rotating system after the collision. Treat the ball like a "point object" and the rod as a "rod rotating about an end. ") M M
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