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A 10 kg collar P slides with negligible ...

A 10 kg collar P slides with negligible friction on the fixed vertical shaft. When the collar is released from rest at the bottom position shown, it moves up the shaft under the action of the constant force F = 200 N applied to the cable. The position of the small pulley at B is fixed. Find the spring constant k (in `k-N // m`) which the spring must have if its maximum compression is to be limited to 0.4 m.

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