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Find the tension in the drawbridge cable for the diagram shown. The bridge is horizontal, uniform,...

Find the tension in the drawbridge cable for the diagram shown. The bridge is horizontal, uniform, and has a mass of 450 kg. The pin is frictionless. The length of the drawbridge is L=12 m, and the distance from the center of mass to the point of attachment of the cable is L/3.

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Answer #1

Let us calculate the torque balance over hindged point of bridge with wall

Center of mass of bridge is at L/2 from the hindged point

Tention at bridge is at distance (L/2) + (L/3) = 5L/6 from hinged point

Torque balance

(m)(g)(L/2) - (T)(sinπ/6)(5L/6) =0

T= 5292 N

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