problem15_10

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

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15.10: a) The relevant expressions are ) cos( ) , ( t ω kx A t x y - = ) ( sin ωt kx ωA t y v y - = = ). ( cos 2 2 2 kx ωt A ω t v t y a y y - - = = = b) (Take A , k and ω to be positive. At , 0 = t x the wave is represented by (19.7(a)); point (i) in the problem corresponds to the origin, and points (ii)-(vii) correspond to the points in the figure labeled 1-7.) (i) , ) 0 cos( ωA ωA v y = = and the particle is moving upward (in the positive y -direction). , 0 ) 0 sin( 2 = - = A ω a y and the particle is instantaneously not accelerating. (ii) , 2 ) 4 cos( ωA π ωA v y = - = and the particle is moving up. , 2 ) 4 sin( 2 2 A ω π A ω a y = - - = and the particle is speeding up. (iii) , 0 ) 2 cos( = - = π ωA v y and the particle is instantaneously at rest. , ) 2 sin( 2 2 A ω π A ω a y = - - = and the particle is speeding up. (iv) , 2 ) 4 3 cos( ωA π ωA v y - = - = and the particle is moving down. , 2 ) 4 3 sin( 2 2 A ω π A ω a y = - - = and the particle is slowing down ( y v is becoming less

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problem15_10 - 15.10 a The relevant expressions are y x t A...

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