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The system shown in the figure is in static equilibrium. The rod of length L = 3

ID: 2264313 • Letter: T

Question

The system shown in the figure is in static equilibrium. The rod of length L=3.31m  and mass M=10.63kg  is held in an upright position. The top of the rod is tied to a fixed vertical surface by a string, and a force F  is applied at the midpoint of the rod. The coefficient of static friction between the rod and the horizontal surface is ?s=0.251 . What is the maximum force, F , that can be applied and have the rod remain in static equilibrium?

The system shown in the figure is in static equilibrium. The rod of length L=3.31m and mass M=10.63kg is held in an upright position. The top of the rod is tied to a fixed vertical surface by a string, and a force F is applied at the midpoint of the rod. The coefficient of static friction between the rod and the horizontal surface is ?s=0.251 . What is the maximum force, F , that can be applied and have the rod remain in static equilibrium?

Explanation / Answer

maximum frictional force= ms*mg=0.251*10.63*9.8=26.147 N


lets assume the Tension in the wire be T


now for equilibrium


moment about the mid point shold be Zero


==> T*L/2= 26.147*L/2


==> T=26.147 N


by force balane


F=T+frictional force


==> Maximum force = 2*26.147=52.294 N

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