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Newton's Laws for System of Particles

A small block...

Question

A small block of mass $m$ is lying at a rest at point $P$ of wedge having a smooth semicircular track of radius $R$ . The maximum value of horizontal acceleration $a_{0}$ of wedge so that mass can just reach the point $Q$ ?

g / 2

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\sqrt{g}

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g

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n o t p o s s i b l e

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Solution

The correct option is C $n o t p o s s i b l e$
The horizontal acceleration a0(pseudo force) of the wedge will not make the block to reach the point Q from P, because it is a vertical displacement but the force is horizontal, so this motion is not possible .
Therefore the minimum acceleration of the block is not possible.
Hence, Option $D$ is correct.

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A small block of mass m is lying at a rest at point P of wedge having a smooth semicircular track of radius R. The maximum value of horizontal acceleration a0 of wedge so that mass can just reach the point Q ?

A small block of mass $m$ is lying at a rest at point $P$ of wedge having a smooth semicircular track of radius $R$ . The maximum value of horizontal acceleration $a_{0}$ of wedge so that mass can just reach the point $Q$ ?