4 0.45/1.25 points | Previous Answers SerPSET9 5.P036 The figures show loads han

Question

4 0.45/1.25 points | Previous Answers SerPSET9 5.P036 The figures show loads hanging from the ceiling of an elevator that is moving at constant velocity. Find the tension in each of the three strands of cord supporting each load, given that 1-43.00, 2= 47.00, 3. 55.09, m1-4.00 kg, and m2= 9.00 kg. T1 T. = 30.41 = 21.44 T3 = 392 Your response differs from the correct answer by more than 10%. Double check your calculations. N Your response differs from the correct answer by more than 10%. Double check your calculations. N 63 116.1 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digi to minimize roundoff error. N 57.3 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digi to minimize roundoff error. N 88.29

Explanation / Answer

from the given diagram

theta1 = 43 deg

theta2 = 47 deg

theta3 = 55 deg

m1 = 4 kg

m2 =9 kg

a. from force balance

T1sin(theta1) + T2sin(theta2) = T3

T3 = m1*g = 39.24 N

T1cos(theta1) = T2cos(theta2)

T1 = 0.932515T2

hence

T2 = 28.698 N

T1 = 26.761 N

b. T3 = m2*g = 88.29 N

T1sin(theta3) = T3

T1 = 107.782188 N

T2 = T1*cos(theta3) = 61.821323548 N

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