101101-opp - *playing the original cover by Tom Rush...

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Unformatted text preview: *playing the original cover by Tom Rush 11/01/10 Physics 121 1 11/01/10 Physics 121 2 11/01/10 Physics 121 3 11/01/10 Physics 121 4 Period = time to go around once T = 4 (t3 – t1) (Why?) t3 t2 t4 Speed = 2 R / T (Why?) t1 t5 R t6 11/01/10 Physics 121 t8 t7 8 r2 t2 r1 r t1 r = r2 r1 r v= t dr v= dt 11/01/10 Physics 121 9 v t2 v = v2 v1 v2 t1 v1 v a= t dv a= dt 11/01/10 Physics 121 10 r2 v2 r2 R 11/01/10 r1 v1 t2 r r1 v t1 Physics 121 v2 v1 11 R vt Similar triangles imply vt at = R v av = vR 2 v a= R R at v 11/01/10 v Physics 121 12 v2 a= pointing in to center R r = position vector r ˆ = r = unit vector in direction of position vector R v2 ˆ a= r R 11/01/10 Physics 121 13 11/01/10 Physics 121 14 net F always a= m 2 v in order for the object to move ˆ a= r in a circle with constant speed. R F net v2 Therefore, to do this, ˆ = r we need a net force. m R A(n inward) radial mv 2 net net force is needed to ˆ F= r R maintain circular motion. 11/01/10 Physics 121 15 ...
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