PART A Express your answer using two significant figures. A ladder of length 20.

Question

PART A

Express your answer using two significant figures.

A ladder of length 20.0m is carried by a fire truck. The ladder has a weight of 2700N and its center of gravity is at its center. The ladder is pivoted at one end (A) about a pin (Figure 1) ; 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 ? = 40 ?   with the ladder.

PART A

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

Express your answer using two significant figures.

F= N

Explanation / Answer

let's just apply torques relative to B, so you will find the force : F

F*sin(40)*8 - 2700*10 = 0

F*sin(40) = 2700*10 / 8

F = 5250.56 Newtons

That's the value of "F"

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