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Question

A regular hexagonal uniform block of mass m=43 kg rests on a rough horizontal surface with coefficient of friction μ as shown in figure. A constant horizontal force is applied on the block as shown. If the friction is sufficient to prevent slipping before toppling, then the minimum force is F (in N) that is required to topple the block about its corner A. Find the value of F10
(Take g=10 m/s2)


A
2.00
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B
2.0
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C
2
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Solution

Situation when the hexagonal block is just about to topple. Normal reaction will shift to A (extreme)


Torque balance about point A :
F(2acos30o)=mg(a2)
F(2×a×32)=43×10×a2
F=20 N

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