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A block of mass M is placed on a rough horizontal surface. A force F = M g acts on the block. It is inclined to the vertical at an angle θ. The coefficient of friction is µ. The block can be pushed along the surface only when

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a

tan⁡θ≥μ

b

cot⁡θ≥μ

c

tan⁡θ/2≥μ

d

cot⁡θ/2≥μ

answer is C.

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Detailed Solution

Here Mgsin⁡θ≥μ(Mg+mgcos⁡θ)∴ tan⁡θ/2≥μ.
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