Question

A uniform drawbridge must be held at a 37 ∘∘ angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45,000 NN and is 14.0 mm long. A cable is connected 3.5 mm 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?

          A uniform drawbridge must be held at a 37 ∘∘ angle
above the horizontal to allow ships to pass underneath. The
drawbridge weighs 45,000 NN and is
14.0 mm long. A cable is connected 3.5 mm 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?

Added by Daisy V.

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