In Fig a sphere of radius `2 m` rolls on a plank. The accelerations of the sphere and the plank are indicated. The value of `alpha` is

Options

A. `2rad//s^(2)`
B. `4rad//s^(2)`
C. `3rad//s^(2)`
D. `1rad//s^(2)`

Answer

C

Explanation

As sphere rolls the lowest of the point of the sphere should have the same acceleration as the plank
hence `a_(1)=alphaR-a_(2)`
`2=2alpha-4implies alpha=3rad//s^(2)`