Question

Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most its mass concentrated near the axis. Which statement(s) is (are) correct?
A. Both cylinders `P` and `Q` reach the ground at the same time.
B. Cylinder `P` has larger linear acceleration than cylinder `Q`.
C. Both cylinders `P` and `Q` reach the ground with the same translational kinetic energy.
D. Cylinder `Q` reaches the ground with larger angular speed.

Answer 1

`P:` Hollow cylinder `(k^(2)//R^(2)=1)`
`Q:` Solid cylinder `(k^(2)//R^(2)=1//2)`
`v_(P)=sqrt((2gh)/(1+1))=sqrt(gh)`
`v_(Q)=sqrt((2gh)/(1+1//2))= sqrt((4gh)/(3))`
`v_(Q)gtv_(P)`
`omega_(Q)gt omega_(P)`