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

A block of mass m is placed on a smooth slope of angle `theta`. The whole system (slope + block) is moved horizontally with acceleration a in such a way that the block does not slip on the slope. Hence, a =………..

A

`g tan theta`

B

`g sin theta`

C

`g cos theta`

D

`(g)/(sin theta)`

Text Solution

Verified by Experts

The correct Answer is:
A

As block doenst slip on slope
`m a cos theta = mg sin theta `

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