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Question

The minimum value of F such that the block is at rest is (tanθ>μ)
1054869_b67fba235c994f2bbd05f86025547d38.png

A
mg(cosθμsinθ)sinθ+μcosθ
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B
mg(cosθ+μsinθ)sinθμcosθ
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C
mg(sinθ+μcosθ)cosθμsinθ
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D
mg(sinθμcosθ)cosθ+μsinθ
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Solution

The correct option is C mg(sinθ+μcosθ)cosθμsinθ
N=Fsinθ+mgcosθ....(1)Fcosθ=f+mgsinθ=μ[fsinθ+mgcosθ]+mgsinθ=F[cosθμsinθ]=mg[μcosθ+sinθ]F=mg[μcosθ+sinθ]cosθμsinθHence,optionCiscorrectanswer.
1228559_1054869_ans_4b56dbc081fe44fab542d9e1284aa118.png

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