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Unformatted text preview: then the velocity is + B sin( t )). t B ω 314. (a) m x & & = − kx b x & , which can be written in the usual form 2 = + + x x x ω γ & & & , where m k = and m b = . (b) The frequency of oscillation with damping is given by 4 2 2 − = , so if 2 3 = then = and therefore mk m m b = = = = (0.2 kg 80 N/m) 1/2 = 4 kg/s (c) 1 = = = b mk Q . The amplitude of oscillations fall as exp( −γ t /2), so after 10 complete oscillations ( ) 2 10 π × = t , the amplitude falls by a factor ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 3 2 10 exp 3 2 10 exp 10 exp = really small...
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 Fall '11
 MONROEC
 Physics, Inertia, Mass, Moment Of Inertia, Rotation, Fundamental physics concepts, 0.2 kg

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