A loaded cement mixer drives onto an old drawbridge, where it stalls with its ce

Question

A loaded cement mixer drives onto an old drawbridge, where it stalls with its center of gravity three-quarters of the way across the span. The truck driver radios for help, sets the handbrake, and waits. Meanwhile, a boat approaches, so the drawbridge is raised by means of a cable attached to the end opposite the hinge (the figure(Figure 1) ). The drawbridge is 40.0 m long and has a mass of 18,000 kg; its center of gravity is at its midpoint.

What is the tension T in the cable when the drawbridge is held in this position?

What is the horizontal component of the force the hinge exerts on the span?

What is the vertical component of the force the hinge exerts on the span?

Explanation / Answer

I'll assume that at that moment, the bridge is stationary.

Also, I can't see the image, but if I understand correctly, then...

The torque about the hinge, caused by the bridge itself, is:
?? = (12000 kg)

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