A 0.1 kg solid disc has a radius of 0.2 m. The moment of inertia of a solid disc is I = ½ m r2. EXAM The disc initially rolls with a velocity of 2 m/s along a horizontal surface. It then rolls up a ramp and briefly stops when it reaches a height h. The disc rolls without slipping on both surfaces. a) What is the angular velocity of the disc when it is on the horizontal surface? b) What is the speed of a point on the very top of the disc when the disc is on the horizontal surface? c) Use Conservation of Energy to find the maximum height of the disc, h. d) If the disc were replaced with a thin ring (same mass, same radius, same initial speed), would it roll higher, less high, or the same height? No calculations required. Briefly explain your answer! e) If there were no friction (the disc slides instead of rolling), but the disc still has the same initial speed, would it roll higher, less high, or the same height? v=02m/s

Answered: A 0.1 kg solid disc has a radius of 0.2…

Physics for Scientists and Engineers: Foundations and Connections

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ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

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A 0.1 kg solid disc has a radius of 0.2 m. The moment of inertia of a solid disc is I = ½ m r2. EXAM

The disc initially rolls with a velocity of 2 m/s along a horizontal surface. It then rolls up a ramp and briefly stops when it reaches a height h.

The disc rolls without slipping on both surfaces.

a) What is the angular velocity of the disc when it is on the horizontal surface?
b) What is the speed of a point on the very top of the disc when the disc is on the horizontal surface?
c) Use Conservation of Energy to find the maximum height of the disc, h.
d) If the disc were replaced with a thin ring (same mass, same radius, same initial speed), would it roll higher, less high, or the same height? No calculations required. Briefly explain your answer!
e) If there were no friction (the disc slides instead of rolling), but the disc still has the same initial speed, would it roll higher, less high, or the same height?

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