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A triangular prism of mass m placed on i...

A triangular prism of mass `m` placed on it is released from rest on a smooth inclined plane of inclination `theta` The block does not slip on the prism. Then

A

The accelaration of the prism is `g cos theta`

B

The accelaration of the prism is `g tan theta`

C

The minimum coefficient of friction between the block the block and the prism is `mu _(min) = cot theta`

D

The minimum coefficient of friction between the block the block and the prism is `mu _(min) = tan theta`

Text Solution

Verified by Experts

The correct Answer is:
d
As the block does not slip on prism the combined acceleration of the prism is
`a = g sin theta`
`mg sin theta` is the psendo on m
`N +mg sin theta sin theta = mg`
`N = mg cos^(2) theta`
And for no slipping , `mg sin theta cos theta le mu N`
`mg sin theta cos theta le mu mg cos^(2) theta or mu ge tan theta`
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Knowledge Check

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