11_InstSolManual_PDF_Part8 - s f 5 1 T 5 0.625 Hz T 5 1.60...

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11.38. Set Up: The circle of reference and the two positions of the object are sketched in Figure 11.38. Figure 11.38 Solve: and and 11.39. Set Up: Solve: 11.40. Set Up: Solve: (a) Consider the chair alone: (b) The mass of the astronaut is 11.41. Set Up: The period is the time for 1 cycle; after time T the motion repeats. The graph shows Solve: (a) (b) (c) (d) when so so From the graph in the problem, The mass is at when and this occurs at 1.2 s, and 1.8 s. (e) gives a max 5 kA m 5 1 2 p f 2 2 A 5 1 4 p 2 21 0.625 Hz 2 2 1 0.051 m 2 5 0.79 m / s 2 5 79 cm / s 2 . 2 kx 5 ma x t 5 0.4 s, v x 5 0, x 5 6 A A 5 1 0.20 m / s 2 / 1 2 p 21 0.625 Hz 2 5 0.0.051 m 5 5.1 cm v max 5 0.20 m / s. A 5 v max / 1 2 p f 2 . f 5 1 2 p Å k m A 5 v max Å m k . 1 2 kA 2 5 1 2 m v max 2 . x 5 0 v x 5 v max v 5 2 p f 5 3.93 rad
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Unformatted text preview: / s f 5 1 T 5 0.625 Hz T 5 1.60 s 1 2 m v x 2 1 1 2 kx 2 5 1 2 kA 2 v max 5 20.0 cm / s. 113 kg 2 35.4 kg 5 77.6 kg m 5 k 1 T 2 p 2 2 5 1 894 N / m 2 1 2.23 s 2 p 2 2 5 113 kg. k 5 1 2 p T 2 2 m 5 1 2 p 1.25 s 2 2 1 35.4 kg 2 5 894 N / m T 5 2 p Å m k k 5 1 2 p T 2 2 5 1 2 p 0.150 s 2 2 1 0.600 kg 2 5 1.05 3 10 3 N / m T 5 2 p Å m k t 5 T 1 f 2 p rad 2 5 1 0.600 s 2 1 0.253 rad 2 p rad 2 5 0.0242 s. f 5 v t 5 1 2 p rad T 2 t f 5 0.253 rad. sin f 5 A / 4 A 5 0.250 y x 1 2 A A / 4 f f 11-8 Chapter 11...
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