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Q.

A small block of mass m lying at rest at point P of a wedge having a smooth semi circular track of radius R. What should be the minimum value of horizontal acceleration $a_{0}$ of wedge so that mass can just reach the point Q?

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a

not possible

b

$\sqrt{g}$

c

$g / 2$

d

g

answer is C.

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Detailed Solution

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From the frame of wedge, pseudo force will act towards right and mg acts vertically downwards.

On applying work energy theorem in the frame of wedge.

$W_{pseudo} + W_{mg} = K_{f} - K_{i}$

${ma}_{0} R - mgR = 0 \Rightarrow a_{0} = g$

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A small block of mass m lying at rest at point P of a wedge having a smooth semi circular track of radius R. What should be the minimum value of horizontal acceleration a0 of wedge so that mass can just reach the point Q?