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 and has mass of 11600kg, its center of gravity is at its midpoint. the cemenrt mixer witht the driver has a mass of 29800kg. when the drawbridge has been raised to an angle 30 degree above the horizontal, the cable makes an angle of 70 degrees with the surface of the bridge.

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

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

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

Explanation / Answer

The torque about the hinge, caused by the bridge

T1 = (11600 kg)

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