A uniform drawbridge must be held at a 42.0 ∘ angle above the
horizontal to allow ships to pass underneath. The drawbridge weighs
4.80×104 N , is 11.0 m long, and pivots about a hinge at its lower
end. A cable is connected 3.15 m from the hinge, as measured along
the bridge, and pulls horizontally on the bridge to hold it in
place.
1. Find the magnitude of the force the hinge exerts on the
bridge.
2. Find the direction of the force the hinge exerts on the
bridge.
3. If the cable suddenly breaks, what is the initial angular
acceleration of the bridge?
I have used condition of equilibrium and newtons second law for rotational motion.
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