A loop rolls down on an inclined plane. The fraction of its kinetic energy that is associated with only the rotational motion is.

Options

A. `1 : 2`
B. `1 : 3`
C. `1 : 4`
D. `2 : 3`

Answer

A

Explanation

(a) `f = (KE_t)/(KE_t + KE_r) =((1)/(2) mv^2)/(1/(2) mv^2 + (1)/(2) I omega^2) = (1)/(2)`
`[because omega = (v)/(R), I = mR^2]`.