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Question

If the external force F is applied at an angle θ with the horizontal as shown in figure, the value of F for which friction force between the block of mass m and the wall is zero, is

A
mg
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B
mgsinθ
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C
mgcosθ
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D
mgtanθ
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Solution

The correct option is A mg
Hence, option (A) is correct answer.
Normal reaction = Fsinθ+mgcosθ
Since the force is acting horizontally it is split into two component are along the plane and one perpendicular. Similarly we do for mg the weight.

1380753_1388481_ans_9d0c66793e93436892487a3fc7170b4b.png

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