The member is subjected to a force of F = 6 kN. If theta = 45^degree, determine

Question

The member is subjected to a force of F = 6 kN. If theta = 45^degree, determine the moment produced by F about point A. Determine the angle theta (0^degree lessthanorequalto theta lessthanorequalto 180^degree of the force F so that it produces a maximum moment and a minimum moment about point A. Also, what arc the magnitudes of these maximum and minimum moments? Determine the moment produced by the force F about point A in terms of the angle theta. Plot the graph of M_A versus. theta where 0^degree lessthanorequalto theta lessthanorequalto 180^degree.

Explanation / Answer

4-11

force , F = 6 kN

F = 6000 N

for the moment of force about A

moment of force = 6 * cos(45) * 6 - 2 * 1.5 * 6 * sin(45)

moment of force = 12.733 kN.m

the moment of force about A is 12.733 kN.m

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