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Unformatted text preview: 81: Dynamics in Two Dimensions a(x) = Av(x)sqrt(v(x)^2+v(y)^2)/(4m) a(y) = g  Av(x)sqrt(v(x)^2+v(y)^2)/(4m)82: Velocity and Acceleration in Uniform Circular Motion v = wr a = v^2/r a = w^2*rthe raxis (radial axis) points from the particle toward the center of the circlethe taxis (tangential axis) is tangent to the circle, pointing in the ccw directionthe zaxis is perpendicular to the plane of motionA(r) = Acos(o)A(t) = Asin(o)the velocity vector has only a tangential component v(t)d(theta)/dt is the angular velocity w.z up, t tangent, and r centerbecasue v(t) is the only nonzero component of v, the particle's speed is v = abs(v(t)) = abs(w)rwe defined w to be positive for a counterclockwise (ccw) rotation, the tangetential velocity v(t) is positive for ccw motion, negative for cw motionw is retricted to rad/s because the relationship s=r(theta) is the definition of radians....
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This note was uploaded on 01/13/2012 for the course PHYSICS 2 taught by Professor Hilf during the Spring '11 term at UC Davis.
 Spring '11
 Hilf
 Physics, Acceleration, Circular Motion

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