An 8-kg collar C can slide without friction on a horizontal rod between two identical springs A and B to which it is not attached. Each spring has a constant of 600 N/m. The collar is pushed to the left against spring A, compressing that spring 20 mm, and released in the position shown. It then slides along the rod to the right and hits spring B. After compressing that spring 20 mm, the collar slides to the left and hits spring A, which it compresses 20 mm. The cycle is then repeated. Determine
(a) the period of the motion of the collar,
(b) the position of the collar 1.5 s after it was pushed against spring A and released. (Note: This is a periodic motion, but not a simple harmonic motion.)
