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

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3.77: a) The path is a cycloid. b) To find the velocity components, take the derivative of x and y with respect to time: ), cos 1 ( ωt R v x - = ϖ and . sin ωt R v y ϖ = To find the acceleration components, take the derivative of x v and y v with respect to time: t, R a x ϖ ϖ sin 2 = and t. R a y ϖ ϖ cos 2 = c) The particle is at rest ) 0 ( = = x y v v
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Unformatted text preview: .... / 4 / 2 ω, π ω, π , t = At that time, ; .. . 4 2 πR, πR, , x = and . = y The acceleration is 2 R a = in the -y + direction. d) No, since ( 29 ( 29 [ ] . cos sin 2 2 / 1 2 2 2 2 R t R t R a = + =...
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  • Acceleration, Velocity, Cos, acceleration components

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