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A block of mass m is placed on a smooth ...

A block of mass m is placed on a smooth inclined wedge ABC of inclination as shown in the figure.

The wedge is given an acceleration a towards the right. The relation between a and e for the block to remain stationary on the wedge is

A

`a=(g)/(cosec theta)`

B

`a=(g)/(sin theta)`

C

a=g cos theta`

D

`a= g tan theta`

Text Solution

Verified by Experts

The correct Answer is:
D
In non-inertial frame ,
` N sin theta = ma `….. (I )
` N cos theta = mg ………(ii) `
from (I ) and (ii)
` tan theta =(a)/(g) `
` a = g tan theta `
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