problem13_53

University Physics with Modern Physics with Mastering Physics (11th Edition)

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Unformatted text preview: 13.53: a) With = 0, x(0) = A. dx b vx = = Ae - (b 2 m ) t - cos t - sin t , b) dt 2m and at t = 0, v = - Ab 2m ; the graph of x versus t near t = 0 slopes down. c) and at t = 0, ax = b 2 dvx b = Ae - (b 2 m ) t 2 - 2 cos ' t + sin t , 4m dt 2m b2 b2 k ax = A 2 - 2 = A 2 - . 4m 2m m (Note that this is (- bv0 - kx0 ) m.) This will be negative if b < 2km , zero if b = 2km and positive if b > 2km . The graph in the three cases will be curved down, not curved, or curved up, respectively. ...
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