🎉 Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning Oh no! Our educators are currently working hard solving this question. In the meantime, our AI Tutor recommends this similar expert step-by-step video covering the same topics. Numerade Educator ### Problem 115 Easy Difficulty # One-fourth of a rope of length$l$is hanging down over the edge of a frictionless table. The rope has a uniform, linear density (mass per unit length)$\lambda$(Greek lambda), and the end already on the table is held by a person. How much work does the person do when she pulls on the rope to raise he rest of the rope slowly onto the table? Do the problem in two ways as follows. (a) Find the force that the person must exert to raise the rope and from this the work done. Note that this force is variable because at different times, different amounts of rope are hanging over the edge. (b) Suppose the segment of the rope initially hanging over the edge of the table has all of its mass concentrated at its center of mass. Find the work necessary to raise this to table height. You will probably find this approach simpler than that of part (a). How do the answers compare, and why is this so? ### Answer ##$\frac{\lambda g l^{2}}{32}\$

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Moment, Impulse, and Collisions

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{'transcript': "So here we have the solutions Where four thick with masters acceleration to add new It is the force total, Massive, massive. The block that's massive the dog. So this become the total acceleration. Now tension at the rope varies around a rope and at the back end of the rope, this becomes the form off the tension value. Now, over here, if you have massive the rope Toby, 0.8 kilograms, then this becomes 4.8 kilogram and you have acceleration 2.5 meters for a second square. And the bat attention off the road becomes a Monica was 0.8. Track that in. You get that to be 10 Children and I look at this if tomorrow goes to zero that this because if you're Mark goes to zero, that this becomes 12. And if you're Mark goes to infinity than this number against 20 So this is your party and party, and this is"}

Indian Institute of Technology Kharagpur

#### Topics

Moment, Impulse, and Collisions

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