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Q.

A small block of mass m rests on a smooth wedge of angle θ . With what horizontal acceleration ‘a’ should the wedge be pulled, as shown in Fig., so that the block falls freely?

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a

g  cos  θ

b

g  sin  θ

c

g  cot  θ

d

g  tan  θ

answer is C.

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Detailed Solution

mgcosθ=masinθa=gcotθWhen it will loose the contact it becomes a freely falling body i.e., normal reaction will be zero.
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