Consider the 649 N weight held by two cables shown below. The left-hand cable ha

Question

Consider the 649 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 530 N and
makes an angle of 44 with the ceiling.
The right-hand cable makes an angle of 44
with the ceiling and has a tension of 530 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

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

Explanation / Answer

T2 sin + 530 sin44 = 649

or T2sin = 280.83

Also for horizontal components

T2cos=530cos44

so dividing abov2 equations

tan = 0.736

or angle with ceiling ==36.37 degrees

So , T2 = 280.83/sin36.37 = 473.51N

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