475_Physics ProblemsTechnical Physics

475_Physics ProblemsTechnical Physics - Chapter 16 *P16.11...

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Chapter 16 477 *P16.11 From yx t =− 12 0 1 57 31 4 .s i n . . cm rad m rad s a f bg b g di (a) The transverse velocity is y t Ak x t ωω cos af Its maximum magnitude is A ω == 12 31 4 3 77 cm rad s m s .. (b) a v tt A k xt A k y y = = −− = cos sin ch 2 The maximum value is A 21 2 012 314 118 m s m s 2 ej P16.12 At time t , the phase of t 15 0 0 157 50 3 .c o s . . cm a f at coordinate x is φ 0157 503 rad cm rad s b g . Since 60 0 3 . °= π rad , the requirement for point B is that φφ BA 3 rad , or (since x A = 0), 0 157 50 3 0 50 3 3 . rad cm rad s rad s rad b g b g t B −= −± . This reduces to x B = ± rad rad cm cm 30157 667 . . . P16.13 t 0 250 0 300 40 0 i n . . m Compare this with the general expression
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