ch11-p018 - 18. (a) The derivation of the acceleration is...

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18. (a) The derivation of the acceleration is found in § 11-4; Eq. 11-13 gives a g IM R com com =− + 1 0 2 where the positive direction is upward. We use 2 com /2 R = where the radius is R = 0.32 m and M = 116 kg is the total mass (thus including the fact that there are two disks) and obtain () 2 22 0 0 1( / 2 ) 1// 2 gg a MR MR RR = + + which yields a = – g /51 upon plugging in R 0 = R /10 = 0.032 m. Thus, the magnitude of the center of mass acceleration is 0.19 m/s 2 . (b) As observed in §11-4, our result in part (a) applies to both the descending and the rising yoyo motions. (c) The external forces on the center of mass consist of the cord tension (upward) and the
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