Q.1 The velocity of a slider is defined by the relation v = v'sin(wt + ¢). Denoting the velocity and the position of the slider at 1 = 0 by ₁ and xo, respectively, and knowing that the maximum displacement of the slider is 2x0, show that (a) v' = (v² + x₂w²)/2x@„, (b) the maximum value of the velocity occurs when x = xo [3 - (vo/xow)²]/2.

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Q.1
The velocity of a slider is defined by the relation v = v'sin(@t + o).
Denoting the velocity and the position of the slider at t = 0 by Up and
Xo, respectively, and knowing that the maximum displacement of the
slider is 2x, show that (a) v' = |
( + xa;/2x,0, (b) the maximum
value of the velocity occurs when x = x 3-(/w,) |/2.
Transcribed Image Text:CA3 MEC107 (Protected View) - Word ABHSHEK eview Vew Help Tell me what you want to do ou need to edit, it's safer to stay in Protected View. Enable Editing e close some apps. Update now Q.1 The velocity of a slider is defined by the relation v = v'sin(@t + o). Denoting the velocity and the position of the slider at t = 0 by Up and Xo, respectively, and knowing that the maximum displacement of the slider is 2x, show that (a) v' = | ( + xa;/2x,0, (b) the maximum value of the velocity occurs when x = x 3-(/w,) |/2.
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