Equilibrium in 2D Video Lessons

Concept

Problem: Two ropes are connected to a steel cable that supports a hanging weight as shown in the figure.(a) Draw a free-body diagram showing all the forces acting at the knot that connects the two ropes to the steel cable.(b) If the maximum tension either rope can sustain without breaking is 5100 N, determine the maximum value of the hanging weight that these ropes can safely support. You can ignore the weight of the ropes and the steel cable.(c) Based on your force diagram, which of the two ropes will have the greater tension?

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Problem Details

Two ropes are connected to a steel cable that supports a hanging weight as shown in the figure.
(a) Draw a free-body diagram showing all the forces acting at the knot that connects the two ropes to the steel cable.
(b) If the maximum tension either rope can sustain without breaking is 5100 N, determine the maximum value of the hanging weight that these ropes can safely support. You can ignore the weight of the ropes and the steel cable.
(c) Based on your force diagram, which of the two ropes will have the greater tension?