A weight is suspended from two ropes, one of which makes anangle #1 = 30 degrees

Question

A weight is suspended from two ropes, one of which makes anangle #1 = 30 degrees and angle #2 = 160 degrees, both support aweight of 600 N in equilibrium. Find the tension in each ofthe two ropes. Hint: The sum of all the forces in the x and y directions areequal to zero. A weight is suspended from two ropes, one of which makes anangle #1 = 30 degrees and angle #2 = 160 degrees, both support aweight of 600 N in equilibrium. Find the tension in each ofthe two ropes. Hint: The sum of all the forces in the x and y directions areequal to zero.

Explanation / Answer

Horizontal components of are equal T cos 30 = T ' cos 160            T = -1.085 T ' Vertical component balances 600 N force So, T sin 30 + T ' sin 160 = 600 N from this 1.085 T ' sin 30 + T ' sin 160 =600 N from this T ' = 678.33 N substitue this in above weget T = 735.99 N

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