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For what value of F will the block of ma...

For what value of F will the block of mass m remains at rest with respect to the wedge. All surfaces are frictionless.

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If the block is at rest w.r.t to the wedge then both will have the same acceleration.

`a=F/(M+m)`
From wedge, the block must be read
`N cos theta= mg , N sin theta= ma`
`implies tan theta=a/g`
From eqns. (i) and (ii) `F=(M+m) g tan theta`
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