Auniform drawbridge must be held at a 32.0 ∘ angle above the horizontal to allow ships to pass underneath. the drawbridge weighs 44000 n, is 16.0 m long, and pivots about a hinge at its lower end. a cable is connected 3.90 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place. what is the tension in the cable?

find the magnitude of the force the hinge exerts on the bridge.

find the direction of the force the hinge exerts on the bridge.

if the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks?

what is the angular speed of the drawbridge as it becomes horizontal?