A trapeze artist,with swing,weighs 700 N;he is momentarily 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 horizontal force being applied by the partner?
A) 924 N
B) 404 N
C) 808 N
D) 233 N

Question

Quizplus · Accepted Answer

The horizontal force can be found using trigonometry. The tension in the rope has a vertical component equal to the weight (700 N) and a horizontal component equal to the force applied by the partner. Using the angle, the horizontal force is 700 N * tan(30°) = 404 N.

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