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Unformatted text preview: 8-1: 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)8-2: Velocity and Acceleration in Uniform Circular Motion- v = wr- a = v^2/r- a = w^2*r-the r-axis (radial axis) points from the particle toward the center of the circle-the t-axis (tangential axis) is tangent to the circle, pointing in the ccw direction-the z-axis is perpendicular to the plane of motion-A(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 center-becasue v(t) is the only nonzero component of v, the particle's speed is v = abs(v(t)) = abs(w)r-we defined w to be positive for a counterclockwise (ccw) rotation, the tangetential velocity v(t) is positive for ccw motion, negative for cw motion-w is retricted to rad/s because the relationship s=r(theta) is the definition of radians....
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