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A 84.0 kg person is being pulled away from a burning building as shown in Figure

ID: 2275637 • Letter: A

Question

A 84.0 kg person is being pulled away from a burning building as shown in Figure 4.27. Calculate the tension in the first rope, T1, if the person is momentarily motionless.
N
Calculate the tension in the second rope, T2, if the person is momentarily motionless.
N

A 84.0 kg person is being pulled away from a burning building as shown in Figure 4.27. Calculate the tension in the first rope, T1, if the person is momentarily motionless. Calculate the tension in the second rope, T2, if the person is momentarily motionless.

Explanation / Answer

I interpreted momentarily motionless as a indiction that it is in statically equilibrium. With all statics problem, you need to sum all the forces in the x-direction and the y-direction.

?x = 0 = -T1cos(75) + T2cos(10)
?y = 0 = T1sin(75) + T2sin(10) - 84*g

Two equations, two unknowns, you can solve for T1 and T2.
I found T1 to be 743.77N and T2 to be 198.25

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