Question

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
A. `(g)/(3)`
B. `(2g)/(3)`
C. `(5g)/(7)`
D. `(5g)/(14)`

Answer 1

Correct Answer - D
The linear acceleration of the sphere,
`a=(g sin theta)/(1+(I)/(mR^(2)))and (I)/(mR^(2))=(2)/(5)` (for solid sphere)
`:. a=(g sin 30^(@))/(1+(2)/(5))=(5g)/(14)`