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Forces of Equilibrium - Drawbridge

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The drawbridge BCD weighs 1000 lbs. Calculate:
(a) the tension in the cable AC.
(b) Dx and Dy and the resultant, D.

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The drawbridge BCD weighs 1000 lb. Calculate:
(a) the tension in the cable AC.
(b) Dx and Dy and the resultant, D.

Solution:

From the free-Body diagram of bar BD
The weight of the bar BD is 1000 lbs. line of action is 2.5 ft horizontally from D)=.

At equilibrium the sum of moments around joint D is 0.0

SUM of moments around D = weight of bar ...

Solution Summary

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See Also This Related BrainMass Solution

Tension of cable and magnitude of force

A uniform drawbridge must be held at a 37 degree angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45,000 N and is 14.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (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.

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