A thin cylindrical shell is released from rest and rolls without slipping down an inclined ramp that makes an angle of 30° with the horizontal.How long does it take it to travel the first 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 without slipping is (2/3)g*sin(θ). For a 30° incline, this becomes (2/3)g*(1/2) = g/3. Using the equation s = (1/2)at^2, where s = 3.1 m and a = g/3, we solve for t to find t ≈ 1.6 s.

A Thin Cylindrical Shell Is Released from Rest and Rolls