Calculate the magnitude of the moment about the base point O of the 600Nforce in five different ways.

Expert Solution

Solution

1. By M = F*d the moment is clockwise and has the magnitude

The moment arm to the 600-N force is:

d = 4 cos 40+ 2 sin 40= 4.35 m

Mo = 600(4.35) = 2610 N.m clockwise

2. By Varignon’s theorem,

F1 = 600 cos 40= 460 N,

F2 = 600 sin 40= 386 N

Mo= 460(4) +386(2) = 2610 N.m clockwise

3. By the principle of transmissibility, move the 600N force along its line of action to point B, which eliminates the moment of the component F2.

d1 = 4 + 2 tan 40= 5.68 m

Mo=460(5.68)=2610 N.m clockwise

5. By the vector expression for a moment

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