The Linear Spring-Mass System

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

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

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

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


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