The Linear Spring-Mass System

A Mass \(\displaystyle m\) is attached to a spring of mass \(\displaystyle M\) and spring constant \(\displaystyle K\).

If the velocity of the mass \(\displaystyle m\) varies linearly over the length of the spring when it is given a kick, Let \(\displaystyle T\) denote the Time Period of the system.

Find \(\displaystyle 1000T\) to the nearest integer.

Details and Assumptions:
\(\bullet m = 3Kg\)
\(\bullet M = 0.5Kg\)
\(\bullet K = 100N/m\)


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