ch05-applying-newtons-laws

ch05-applying-newtons-laws - MasteringPhysics: Assignment...

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10/13/08 1:10 AM MasteringPhysics: Assignment Print View Page 1 of 13 http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1158976 [ Print View ] Introductory mechanics Chapter 05 - Applying Newton’s Laws Due at 11:59pm on Tuesday, October 7, 2008 View Grading Details Tension Definition This problem concerns the concept of tension in a rope. 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. Part A For segment R and segment L to hold together, they must exert forces on each other. What is the direction of the force exerted on segment R by segment L? Hint A.1 Look at the forces Hint not displayed ANSWER: left right Part B Assume that segment R exerts a force of magnitude on segment L. What is the magnitude of the force exerted on segment R by segment L? Hint B.1 How to approach the problem Hint not displayed Give your answer in terms of and other constants such as . ANSWER: = The magnitude of the force exerted by one part of a rope on another at a certain point is called the tension at that point. Tension is often designated with the symbol . The tension is also the magnitude of the force with which the rope pulls on whatever is attached to its ends. Part C Now imagine two points, Q and P, that divide the rope into segments L, M ,and R. The rope remains stationary. Assume that segment L exerts a force of magnitude on segment M. What is the magnitude of the force exerted by segment R on segment M? Hint C.1 How to approach the problem Hint not displayed [ Print ]
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10/13/08 1:10 AM MasteringPhysics: Assignment Print View Page 2 of 13 http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1158976 Part C.2 Relative magnitudes of the two forces Part not displayed Give your answer in terms of and constants such as . ANSWER: = This answer implies that, in the absence of gravity, the tension in a stationary rope may be taken to be constant. Part D Now consider a rope that, unlike those usually studied in mechanics problems, actually has a significant mass . The tension at the right end of this rope is and that at the left end is . The rope has an acceleration to the right. Complete the following equation for the acceleration of the section of the rope of mass , taking the positive direction to be to the right. Hint D.1 How to approach the problem Hint not displayed Give your answer in terms of , , and constants such as . ANSWER: = Part E Which of the following phrases, if they appear in a problem, allow you to assume that in a horizontally oriented rope? 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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This note was uploaded on 04/07/2010 for the course PHYS 3163 taught by Professor Pickett during the Spring '10 term at CSU Long Beach.

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ch05-applying-newtons-laws - MasteringPhysics: Assignment...

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