A uniform drawbridge must be held at a 36.5 angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 N, is 14.0 m long, and pivots about a hinge at its lower end. A cable is connected 4.00 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place. A) What is the tension in the cable? Express your answer in newtons. B) Find the magnitude of the force the hinge exerts on the bridge. Express your answer in newtons. C) Find the direction of the force the hinge exerts on the bridge. Express your answer in degrees. D) If the cable suddenly breaks, what is the initial angular acceleration of the bridge? Express your answer in radians per second squared.
A uniform drawbridge must be held at a 36.5 angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 N, is 14.0 m long, and pivots about a hinge at its lower end. A cable is connected 4.00 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place. A) What is the tension in the cable? Express your answer in newtons. B) Find the magnitude of the force the hinge exerts on the bridge. Express your answer in newtons. C) Find the direction of the force the hinge exerts on the bridge. Express your answer in degrees. D) If the cable suddenly breaks, what is the initial angular acceleration of the bridge? Express your answer in radians per second squared.
Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter12: Static Equilibrium And Elasticity
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Problem 12.14P: A uniform ladder of length L.and mass m1 rests against a frictionless wall. The ladder makes an...
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Question
A uniform drawbridge must be held at a 36.5 angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 N, is 14.0 m long, and pivots about a hinge at its lower end. A cable is connected 4.00 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place.
A)
What is the tension in the cable?
Express your answer in newtons.
B)
Find the magnitude of the force the hinge exerts on the bridge.
Express your answer in newtons.
C)
Find the direction of the force the hinge exerts on the bridge.
Express your answer in degrees.
D)
If the cable suddenly breaks, what is the initial angular acceleration of the bridge?
Express your answer in radians per second squared.
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