A thin cylindrical shell is released from rest and rolls without slipping down an inclined plane that makes an angle of 30° with the horizontal. How long does it take it to travel 3.1 m?
A)1.4 s
B)1.1 s
C)2.1 s
D)1.6 s
E)1.8 s

Question

Quizplus · Accepted Answer

The acceleration of a rolling object is (2/3)g sin(θ) for a thin cylindrical shell. Using the equation s = (1/2)at^2, solve for t: t = sqrt((2s)/(a)) = sqrt((2*3.1)/(2/3 * 9.8 * sin(30°))) ≈ 1.6 s.

A Thin Cylindrical Shell Is Released from Rest and Rolls