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 the figure, so that the block falls freely.
A
gcosθ
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B
gsinθ
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C
gcotθ
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D
gtanθ
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Solution
The correct option is Cgcotθ
By using constrained equation, component of acceleration of the wedge and the block perpendicular to the incline should be equal asinθ=gcosθ a=gcotθ