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Question
A cubical block of mass m and side L rests on a rough horizontal surface with coefficient of friction μ A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is
A cubical block of mass m and side L rests on a rough horizontal surface with coefficient of friction μ A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is
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Solution
The correct option is C
Given cubical block is ready to topple about 'A' such that torque due to 'F' is blanced by torque to 'mg'
Where as torque due to 'N' and 'F' is zero.
∴ FL = mg L2
∴ F = mg2
Given cubical block is ready to topple about 'A' such that torque due to 'F' is blanced by torque to 'mg'
Where as torque due to 'N' and 'F' is zero.
∴ FL = mg L2
∴ F = mg2