problem03_75

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

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3.75 : a) 2 2 2 2 2 2 2 2 ) sin (cos ) sin ( ) cos ( R t t R ωt R ωt R y x = + = + = + ϖ ϖ , so the radius is R . b) , cos , sin t R v t R v y x ϖ ϖ ϖ ϖ = - = and so the dot product . 0 ) cos sin sin cos ( ) cos )( sin ( ) sin )( cos ( = + - = + - = + = t t t t R t R t R t R t R yv xv y x ϖ ϖ ϖ ϖ ϖ ϖ ϖ ϖ ϖ ϖ ϖ v r c) y, t R a x, t R a y x 2 2 2 2 sin cos ϖ ϖ ϖ ϖ ϖ ϖ - = = - = - = and so . and 2 2 R a ϖ ϖ = - = r a d) 2 2 2 2 2 2 2 2 2 2 2 )
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