Question #178381

(a) Find the Net Torque acting on the door and the direction, F1 = 30 lbf , F2 = 73 lbf , F3 = 55 lbf , F4 = 103 lbf , F5 = 88 lbf , F6 = 23 lbf , F7 = 226 lbf and F8 = 55 lbf


Expert's answer

If all these torques are applied to the same point at the right angle to the door, we can simply find the net force assuming all odd-numbered forces are positive and even forces are negative:


Fnet==3073+55103+8823+22655==145 lbf.F_\text{net}=\\=30-73+55-103+88-23+226-55=\\=145\text{ lbf}.

Assuming door width is 3 ft, the torque is


τ=1453=435 lbfft.\tau=145·3=435\text{ lbf}·\text{ft}.


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