A trapeze artist,with swing,weighs 700 N;he is being held to one side by his partner so that the swing ropes make an angle of 30.0° with the vertical.In such a condition of static equilibrium what is the tension in the rope?

Question

Quizplus · Accepted Answer

In static equilibrium, the vertical component of the tension force in the rope must balance the weight of the trapeze artist. 
Using trigonometry, we can find that the vertical component of the tension force equals T * cos(30°), where T is the tension force in the rope. 
Thus, we have: 
T * cos(30°) = 700 N 
T = 700 N / cos(30°) 
T ≈ 808 N

Therefore, the best choice is C, because it is the closest to the calculated value of the tension force.

A Trapeze Artist,with Swing,weighs 700 N;he Is Being Held to One