Slider C has a weight of 0.5 lb and may move in a slot cut in arm AB, which rotates at the constant rate 0 = 10 rad/s in a horizontal plane. The slider is attached to a spring of constant k = 2.5 lb/ft, which is un-stretched when r = 0. Knowing that the slider is released from rest with no radial velocity in the position r = 18 in. and neglecting friction, determine for the position r = 12 in.

(a) The radial and transverse components of the velocity of the slider,

(b) The radial and transverse components of its acceleration,

(c) The horizontal force exerted on the slider by arm AB.

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10 rad/s