A block of mass m is held in equilibrium against a vertical wall by a horizontal force. If the coefficient of friction between the wall and the block is µ, the minimum value of the horizontal force is
To keep the block of mass m in equilibrium against a vertical wall using a horizontal force F:
The normal reaction N = F
The frictional force f must balance the weight: f = mg
Maximum friction available: f = μN = μF
For the minimum horizontal force:
μF = mg
F = mg / μ
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