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A uniform drawbridge must be held at a 34.0 angle above the horizontal to allow

ID: 1352439 • Letter: A

Question

A uniform drawbridge must be held at a 34.0 angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 4.95×104 N , is 10.0 m long, and pivots about a hinge at its lower end. A cable is connected 3.95 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place.

Part A

What is the tension in the cable? (N)

Part B

Find the magnitude of the force the hinge exerts on the bridge. (N)

Part C

Find the direction of the force the hinge exerts on the bridge. ( above the horizontal )

Part D

If the cable suddenly breaks, what is the initial angular acceleration of the bridge? (rad/s^2)      

Explanation / Answer

A uniform drawbridge must be held at a 34.0 angle above the horizontal to allow

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