1) Consider the 644 N weight held by two cables shown below. The left-hand cable

Question

1) Consider the 644 N weight held by two cables
shown below. The left-hand cable had tension
T2 and makes an angle of 2 with the ceiling.The right-hand cable had tension 410 N andmakes an angle of 55 with the ceiling.
The right-hand cable makes an angle of 55
with the ceiling and has a tension of 410 N.a) What is the tension T2 in the left-hand
cable slanted at an angle of 2 with respect to
the wall?Answer in units of N

2) b) What is the angle 2 which the left-hand
cable makes with respect to the ceiling?
Answer in units of

Explanation / Answer

a.

 

T2cos + 410cos(55) = 644

T2cos = 408.833

also,

T2sin = 410sin(55)

T2sin = 335.852

 

Tension = T2  =  529.1 Newton

Angle =  = 39.4 degrees

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