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(Please look at the attachment picture of the diagram)

Consider a rope subjected to a pulling force on its two ends as shown. The rope is stationary. An arbitrary point P divides the rope into a left-hand segment L and a right-hand segment R.

1. Assume that segment R exerts a force of magnitude T on segment L. What is the magnitude of the force exerted on segment R by segment L?

Give your answer in terms of T and other constants such as g.

2. Which of the following phrases, if they appear in a problem, allow you to assume that T2=T1 in a horizontally oriented rope? (There can be more than one answer)

A. The rope is massless.

B. The rope is moving at constant speed.

C. The rope is stretched with negligible sag.

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For number 1, I think the answer is T because the rope's being stationary indicates that the net force is zero. But should I also include constants like g?

For number 2, I think the answer is all of A, B, and C. Choice C is especially confusing because I don't quite get what "negligible sag" means.

Thank you.

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# Tensions on a rope

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