The rectangular plate is made uf of 2.7-ft squares as shown. A 38-lb force is ap

Question

The rectangular plate is made uf of 2.7-ft  squares as shown. A 38-lb  force is applied at point A in the direction shown. Calculate  the moment MB of the force about point B by at  least two different methods. Your answer will be positive if counterclockwise,  negative if clockwise.

The rectangular plate is made uf of 2.7-ft squares as shown. A 38-lb force is applied at point A in the direction shown. Calculate the moment MB of the force about point B by at least two different methods. Your answer will be positive if counterclockwise, negative if clockwise.

Explanation / Answer

Angle between direction of force and x-axis = atan (2/3) = 33.69 deg

Fx = 38 Cos 33.69 = 31.6179 lb

Fy = 38 Sin 33.69 = 21.0786 lb

Mb = -Fx*(2.7*4) + Fy*(2.7*1)

Mb = -284.5617 lb-ft

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