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a painter is using a ladder to paint the outside of a house. the ladder is 8.35m

ID: 1313163 • Letter: A

Question

a painter is using a ladder to paint the outside of a house. the ladder is 8.35m long and has a mass of 22.8 kg, lies flat on the ground. the painter hold the top of the ladder and pulls straight up with a force 235 N. the lower end of the ladder remains on the ground, as a result, the ladder experiences an angular acceleration of 1.96 rad/s^2 about an axis passing through the bottom end of the ladder. the ladders center of gravity lies halfway between the top and bottom ends. Calculate a) the net torque actin on the ladder and B) the ladders moment if inertia.

Explanation / Answer

Part A)

Torque = Fr + Fr

Torque = (235)(8.35) + (22.8)(-9.8)(4.175)

Torque = 1029 Nm

Part B)

Torque = I(alpha)

1029 = I(1.96)

I = 525.2 kg m2

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