Question

A man weighing 500 newtons sits in swing suspended with two ropes if each rope makes an angle of 30 degree with the vertical, what is the tension in each rope?
well, each rope is holding half the weight.

I see the following trinagle: cos30=1/2 weight/ tension


tension= 250N/cos30

check that diagram.
T1*sin(90+30) + T2*sin60 = -500*sin270.
0.866T1 + 0.866T2 = 500.
T1 = T2. Replace T2 with T1.
0.866T1 + 0.866T1 = 500.
1.732T1 = 500.
T1 = 288.7 N. = T2.

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