A ball bearing is moving radially outward in a slotted horizontal disk that is r

Question

A ball bearing is moving radially outward in a slotted horizontal disk that is rotating about the vertical Z axis. At the instant shown in the figure, the ball bearing is 3 in. from the center of the disk. It is traveling radially outward at a velocity of 4 in./sec relative to the disk and has a radial acceleration with respect to the disk of 5in./sec^2 outward. What would theta prime and theta double prime have to be at the instant shown for the ball bearing to have a total acceleration of zero.

Explanation / Answer

accn tangential =r = 11 X 3

radial accn = 2 R =  [1]2 X 3 = 5 in /sec ==> 1 = 1.66rad/s

net accn = 0 that is , 11= 1 = 1.66 rad /s

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