A uniform drawbridge must be held at a 36.5 degree angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 4.85×104 N, is 20.0 m long, and pivots about a hinge at its lower end. A cable is connected 3.70 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 initial angular acceleration of the bridge?