A uniform drawbridge must be held at a 37 angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45,000 and is 14.0 long. A cable is connected 3.5 from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place.
Part A What is the tension in the cable?
Part B Find the magnitude of the force the hinge exerts on the bridge.
Part C Find the direction of the force the hinge exerts on the bridge.
Part D If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks?
Part E What is the angular speed of the drawbridge as it becomes horizontal?