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Question

A block with a square base measuring a and height h, is placed on an inclined plane. The coefficient of friction is μ. The angle of inclination (θ) of the plane is gradually increased. The block will


A
topple before sliding if μ>ah
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B
topple before sliding if μ<ah
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C
slide before topping if μ>ah
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D
slide before topping if μ<ah
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Solution

The correct option is D slide before topping if μ<ah

For no slipping: μN=μmgcosθmgsinθ
μtanθ

For no toppling,
τN+τfs+τmg=0
Nx=μNh2
x=μh2a2
μah

option (a) and (d) are correct.

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