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Q.

A block of mass m is placed on a wedge of mass M. Coefficient of friction between them is μ>cotθ . The minimum acceleration of the wedge at which block appears stationary relative to wedge is Question Image

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a

g(cosθ−μsinθ)sinθ+μcosθ

b

g(sinθ+μcosθ)cosθ−μsinθ

c

g(sinθ+μcosθ)

d

g(sinθ−μcosθ)cosθ+μsinθ

answer is B.

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Detailed Solution

Question Image

N=m(gcosθ+asinθ)

macosθ=mgsinθ+μN

macosθ=mgsinθ+μmgcosθ+μmasinθ

ma(cosθ−μsinθ)=mg(sinθ+μcosθ)

a=g(sinθ+μcosθ)cosθ−μsinθ

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