A block of mass M is held against a rough vertical wall by pressing it with a finger. If the coefficient of friction between the block and the wall is and the acceleration due to gravity is g, calculate the minimum force required to be applied by the ginger to hold the block against the wall.
From the figure, F is the force applied by the finger on the body whose mass is M, and the body is at rest against the wall.
Using the balanced condition,
F = N
f = Mg
μF = Mg
Hence, F = Mg/μ is the minimum force that is required to hold the block against the wall at rest.