A uniform beam of mass m is inclined at an angle theta to the horizontal. Its up

Question

A uniform beam of mass m is inclined at an angle theta to the horizontal. Its upper end (point P) produces a 90degree bend in a very rough rope tied to a wall, and its lower end rests on a rough floor (see figure below). Let mu s represent the coefficient of static friction between beam and floor. Assume mu s is less than the cotangent of theta Find an expression for the maximum mass M that can be suspended from the top before the beam slips. (Use any variable or symbol stated above along with the following as necessary: g.) M = Determine the magnitude of the reaction force (R) at the floor in terms of m, M, g, and mus. R = Determine the magnitude of the force (F) exerted by the beam on the rope at P in terms of m, M, g, and mus. F =

Explanation / Answer

A) Mg = (m+M) g

M = mg/g(1- m)

b)reaction force at r = (m +M)g upward

and (m +M)g horizontal

c) force exerted by the beam on rope at p is

2 * Mg

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