A ladder of length 20.0m is carried by a fire truck. The ladder has a weight of

Question

A ladder of length 20.0m is carried by a fire truck. The ladder has a weight of 3200N and its center of gravity is at its center. The ladder is pivoted at one end (A) about a pin ; you can ignore the friction torque at the pin. The ladder is raised into position by a force applied by a hydraulic piston at C. Point C is a distance 8.0m from A, and the force F exerted by the piston makes an angle of theta= 40degree with the ladder.

IMAGE: http://session.masteringphysics.com/problemAsset/1260549/1/YF-11-22.jpg

(A)What magnitude must F have to just lift the ladder off the support bracket at B?

Explanation / Answer

equatin moment about A 3200*10=Fsin40*8 F=6222.89 N

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