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(e) Determine the net torque due to all four forces. The plywood sheet shown in

ID: 778483 • Letter: #

Question

(e)  Determine the net torque due to all four forces.

The plywood sheet shown in the figure measures 2.0 m by 2.0 m, and each of the four forces the sheet is subjected to has a magnitude of 40.0 N. Use an axis of rotation that is perpendicular to the page and passes through the bottom left corner of the sheet. Remember the standard convention for the sign of torque: use a positive sign in your answer if the torque is directed counterclockwise, and a negative sign if the torque is directed clockwise. 4 (a) (0.5 points) Determine the torque due to force F (b) (0.5 points) Determine the torque due to force F2. (c) (0.5 points) Determine the torque due to force F3. (d) (0.5 points) Determine the torque due to force F

Explanation / Answer

(A) torque = r x F

r1 = 1i + 0.5j

F1 = - 40 j

torque1 = -40 N m


(B) r2 = 2i , F2 = - 40i

torque2 = 0

(C) r3 = 1i + 1j

F3 = - 40i

torque3 = 40 N m


(D) r4 = 2i + 1.5j

F4= 40j

torque4 = 80 N m

(D) Net torque = -40 + 40 + 80 = 80 N m