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Question

Minimum value of F for which the cube begins to tip about an edge is equal to 2mgM. Then, M is -


A
2
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B
4
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C
5
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D
3
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Solution

The correct option is D 3
In the critical condition when the block is just about to topple, the normal will shift to rightmost edge as shown in figure.


Cube will have tendency to topple about O.
Torque of external forces acting on cube about point O,
τf=0, τF=F×3a4,
τN=0, τmg=mg×a2

Block will topple if τclockwise>τanticlockwise
or F×3a4>mg×a2
F>2mg3
Minimum value of F is 2mg3 to topple the cube, hence M=3.

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