Answer to Question #333922 in Mechanical Engineering for kamalesh

Question

The velocity of a slider is defined by the relation v = v'sin(wnt + p). Denoting the velocity and the position of the slider at t = 0 by vo and xo, respectively, and knowing that the maximum displacement of the slider is 2x0, show that (a) v' = (v² + xw²)/2xw,, (b) the maximum value of the velocity occurs when x = x₁ [3 - (vo/xown)² ]/2.