What determines the sign convention in couple moments? For example, for the firs

Question

What determines the sign convention in couple moments?

For example, for the first couple moments, why is 6sin(30)(3) positive and why is 6cos(30)(0.5+0.5) negative?

4-81 Two couples act on the cantilever beam. If F 6 kN determine the resultant couple moment 5 kN B 0.5 m 30° 30° 0.5 m SOLUTION a) By resolving the 6-kN and 5-kN couples into their x and y components, Fig. a, the couple moments (Mo1 and (Mc2 produced by the 6-kN and 5-kN couples, respectively, are given by C+(Mc),-6 sin 30"(3) _ 6 cos 30"(0.5 + 0.5) = 3.804 kN-m CHMc),-5(5)(0.5 + 0.5 )-5(5)(3) =-9 kNm

Explanation / Answer

Here, we use sign convension.

Clockwise torque is negative and counter-clsokwise torque is positive.

It means if a torque tries to accelerate a rotating body in clockwise the torque is negative.

And if a torque tries to accelerate a rotating body in counter-clockwise the torque is positive.

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