Question

Consider the 639 N weight held by two cables. shown below. The left-hand cable had ten-. sion T2 and makes an angle of 53 with the. ceiling. The right-hand cable had tension T1. and makes an angle of 49 with the ceiling.a) What is the tension in the cable labeled. T1 slanted at an angle of 49? b.) And T2 slanted at 53...

Answer 1

F x = - T 1 · cos 49° + T 2 · cos 53° = 0
F y = T 1 · sin 49° + T 2 · sin 53° = 639 N
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- T 1 · 0.656 + T 2 · 0.602 = 0
T 1 · 0.7547 + T 2 · 0.7864 = 639 N
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0.602 T 1 = 0.656 T 2
T 2 = 1.0897 T 1
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0.7547 T 1 + 0.7864 · 1.0897 T 1 = 639 N
1.161164 T 1 = 639 N
Answer:
T 1 = 550.3 N
T 2 = 599.7 N