Matt (76.00 kg), the window washer guy, is accelerating his platform (100.0 kg)

Question

Matt (76.00 kg), the window washer guy, is accelerating his platform (100.0 kg) up the side
of the building. There are two cables holding the platform and a motor on each of the cables.
If Matt (and his platform) are accelerating up at 0.2000 m/s2, how much force does each of
his motors exert on the cable they are pulling?

1. Matt (76.00 kg), the window washer guy, is accelerating his platform (100.0 kg) up the side of the building. There are two cables holding the platform and a motor on each of the cables. lf Matt (and his platform) are accelerating up at 0.2000 m/s2, how much force does each of his motors exert on the cable they are pulling? (4 points)

Explanation / Answer

Here,

m1 = 100 Kg

m2 = 76 Kg

a = 0.200 m/s^2

let the tension in each cable is T

using second law of motion

2T - (m1 + m2) * g = (m1 + m2) * a

2 * T - (100 + 76) * 9.8 = (100 + 76) * 0.20

solving for T

T = 880 N

the tension in each cable is 880 N

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