1 answer

A uniform drawbridge must be held at a 33.5 ∘∘ angle above the horizontal to allow...

Question:

A uniform drawbridge must be held at a 33.5 ∘∘ angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 44000 NN, is 10.5 mm long, and pivots about a hinge at its lower end. A cable is connected 3.80 mm 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?

B. Find the magnitude of the force the hinge exerts on the bridge?

C. Find the direction of the force the hinge exerts on the bridge?

D. If the cable suddenly breaks, what is the initial angular acceleration of the bridge?


Answers

To find the tension on the cable we have to use the total moments on the system about the pivot point is zero at equilibrium.

Moment = force × perpendicular distance.L. Dism twing now at equirium, the tothe moments asout due prot will no nero, mro ut the tengor on the love ne T. If we corydso, que magretude of fore, en tant l 2. so, the force 101838N 101838N a templates 256 due to the hing has magridade of ( To f

.

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