The mechanical energy lost is (b) The mechanical energy has been converted to other forms by air resistance and by dissipative forces within the rope. Reflect: After a while the rock will have come to rest and then all its initial mechanical energy has been “lost”, has been converted to other forms. 11.52. Set Up: Solve: (a) When is a maximum and the tangent to the curve is horizontal the speed of the mass is zero. This occurs at and (b) At and so (c) At and so At and so The mechanical energy “lost” is The mechanical energy lost was converted to other forms by nonconservative forces, such as fric-tion, air resistance and dissipative forces. 11.53. Set Up: As shown in the figure in the solution to Problem 11.51, the height h of the tool above its lowest point is When Solve: (a) When is a maximum and the tangent to the curve is horizontal, the angular speed of the mass is zero. And so is also zero. This occurs at 0.80 s, 1.60 s, 2.40 s, and 3.20 s. (b)
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