Tension Definition This problem concerns the concept of tension in a rope. Consi

Question

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. (Figure 1) The rope is stationary. An arbitrary point P divides the rope into a left-hand segment L and a right-hand segment R. 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 is T2 and that at the left end is T1 (Figure 3) The rope has an acceleration arope 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 T1, T2, and constants such as g. Which of the following phrases, if they appear in a problem, allow you to assume that T2 = T1 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

d) so we sum forces in the x direction so T2 - T1 e) if massless then T1=T2 if constant speed a=0 so T1=T2 so answer is A or B

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