Question: A robot rotates about its base at 2 rpm while lowering its arm and extending its hand. It lowers its arm at the rate of

A robot rotates about its base at 2 rpm while lowering its arm and extending its hand. It lowers its arm at the rate of 120° per minute and extends its hand at the rate of 5 m/min. The arm is 0.5 m long. The xyz coordinates of the hand are given by

x = (0.5 + 5t) sin (t) cos (4mt) %3D y = (0.5 + 5t) sin sin (4mt) 3 z = (0.5 + 5t) cos 3

where t is time in minutes.

Obtain the three-dimensional plot of the path of the hand for 0 ≤ t ≤ 0.2 min.

x = (0.5 + 5t) sin (t) cos (4mt) %3D y = (0.5 + 5t) sin sin (4mt) 3 z = (0.5 + 5t) cos 3

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To obtain the threedimensional plot of the path of the hand we need to plot the x y and z coordinates of the hand as functions of time t over the interval 0 t 02 min The xcoordinate ... View full answer

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