A $4.00 \mathrm{~kg}$ hollow cylinder of radius $5.00 \mathrm{~cm}$ starts from rest and rolls without slipping down a 30.0 degree incline. If the length of the incline is $50.0 \mathrm{~cm}$, then the velocity of the center of mass of the cylinder at the bottom of the incline is
A) $3.02 \mathrm{~m} / \mathrm{s}$.
B) $1.35 \mathrm{~m} / \mathrm{s}$.
C) $2.55 \mathrm{~m} / \mathrm{s}$.
D) $1.82 \mathrm{~m} / \mathrm{s}$.
E) $1.57 \mathrm{~m} / \mathrm{s}$

Question

Quizplus · Accepted Answer

The potential energy at the top is converted into translational and rotational kinetic energy at the bottom. Using energy conservation and the moment of inertia for a hollow cylinder, the velocity of the center of mass is calculated to be $1.57 \mathrm{~m/s}$.

A 4.00 kg4.00 \mathrm{~kg}4.00 kg Hollow Cylinder of Radius 5.00 cm5.00 \mathrm{~cm}5.00 cm Starts from Rest and Rolls Without Slipping Down a 30

A $4.00 \mathrm{~kg}$ Hollow Cylinder of Radius $5.00 \mathrm{~cm}$ Starts from Rest and Rolls Without Slipping Down a 30