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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 ...

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