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An inclined plane makes an angle 30° wit...

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)`

Text Solution

Verified by Experts

The correct Answer is:
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)`
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