Equilibrium in 2D Video Lessons

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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?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Equilibrium in 2D concept. You can view video lessons to learn Equilibrium in 2D. Or if you need more Equilibrium in 2D practice, you can also practice Equilibrium in 2D practice problems.

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Based on our data, we think this problem is relevant for Professor Jerousek's class at UCF.