This problem concerns the concept of tension in a rope. Consider a rope subjecte

Question

This problem concerns the concept of tension in a rope. Consider a rope subjected to a pulling force on its two ends asshown. View Figure The rope is stationary. An arbitrary point P divides the rope into a left-hand segment L and aright-hand segment R. B)Assume that segment R exerts a force of magnitude T on segment L. What is the magnitude F_RL of the force exerted on segment R by segment L? Give your answer in terms of T and other constants such asg. C)Now imagine two points, Q and P, that divide the rope into segments L, M ,and R. View Figure The rope remains stationary. Assume that segment L exerts a force of magnitude F_LM on segment M. What is the magnitude F_R M of the force exerted by segment R on segment M? Give your answer in terms of F_LM and constants such asg. D)Now consider a rope that, unlike those usually studied in mechanics problems, actually has a significant mass m. The tension at the right end of this rope isT_2and that at the left end isT_1.(Figure 3)The rope has an acceleration a rope to the right. Complete the following equation for the acceleration of the section of the rope of mass m, taking the positive direction to be to the right. Give your answer in terms of , and constants such asg. E)Which of the following phrases, if they appear in a problem, allow you to assume that T2 = T 1 in a horizontally oriented rope? The rope is massless. The rope is moving at constant speed. The rope is stretched with negligible sag.

Explanation / Answer

c) TR - TL = ma a = (TR - TL ) /m

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.