Question

A solid cylinder of mass `M` and radius `R` rolls without slipping down an inclined plane of length `L` and height `h`. What is the speed of its center of mass when the cylinder reaches its bottom
A. `sqrt((3)/(4)gh)`
B. `sqrt((4)/(3)gh)`
C. `sqrt(2gh)`
D. `sqrt2v`

Answer 1

`v_(c.m.)=sqrt((2gh)/(1+k^(2)//R^(2)))=sqrt((2gh)/(1+(1//2)))=sqrt((4gh)/(3))`