An inclined plane makes an angle 30° with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to

Options

A. `2g//7`
B. `5g//7`
C. `g//7`
D. `5g//14`

Answer

D

Explanation

`a = (g sin theta)/(1+K^(2)//R^(2))=(g xx 1)/((1+(2)/(5))2)=(5g)/(14)`.