A uniform solid cylinder of mass and radius is released from rest at the top of a…
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems
Problem
A uniform solid cylinder of mass 2.0kg and radius 0.10m is released from rest at the top of a 4.0m long ramp that makes an angle of 20∘ with the horizontal. The cylinder rolls without slipping the entire length of the ramp. Neglect air resistance.
(a) Determine the magnitude of the cylinder’s linear acceleration down the ramp.
(b) Calculate the cylinder’s linear speed as it reaches the bottom of the ramp.
(c) Find the fraction of the cylinder’s total kinetic energy that is translational (rather than rotational) when it arrives at the bottom.
(d) Determine the minimum coefficient of static friction between the cylinder and the ramp required to prevent slipping during the motion.