Disk A rotates in a horizontal plane about a vertical axis at the constant rate (0 = 10 rad/s. Slider B has mass 1 kg and moves in a frictionless slot cut in the disk. The slider is attached to a spring of constant k, which is un-deformed when r = 0. Knowing that the slider is released with no radial velocity in the position r = 500 mm, determine the position of the slider and the horizontal force exerted on it by the disk at t = 0.1 s for

(a) k = 100 N/m,

(b) k = 200 N/m.

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Spring a,