A uniform beam of length L and mass m shown in the figure below is inclined at a

Question

A uniform beam of length L and mass m shown in the figure below is inclined at an angle of ? to the horizontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough horizontal surface.  The coefficient of static friction between the beam and surface is ?s.  Assume the angle ? is such that the static friction force is at its maximum value.

A uniform beam of length L and mass m shown in the figure below is inclined at an angle of ? to the horizontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough horizontal surface. The coefficient of static friction between the beam and surface is ?s. Assume the angle ? is such that the static friction force is at its maximum value.

Explanation / Answer

T*L*sin(theta) = m*g*(L/2)*cos(theta)

T = m*g/(2*tan(theta)

c) T = us*m*g*

d) us = 1/2*tan(theta) = 1/2tan(theta)

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