Question

A hollow cylinder with inner radius R, outer radius 2R and mass M is rolling without slipping with speed of its centre v. Its kinetic energy is.

• A. $\frac{11}{16}M{v}^2$
• B. $\frac{7}{4}M{v}^2$
• C. $\frac{13}{16}M{v}^2$
• D. None of these

Answer 1

The correct option is C $\frac{13}{16}M{v}^2$

$\omega =\frac{v}{2R},I=\frac{5}{2}M{R}^2$

$\Rightarrow TotalKE=\frac{1}{2}M{v}^2+\frac{1}{2}I{\omega }^2=\frac{13}{16}M{v}^2$