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/ Spring Oscillator
The elastic constant of the spring is k.
When the mass is displaced downwards (as shown above) the restoring force acting on it, F, is of magnitude kx, upwards.
If it is displaced upwards the net force is downwards. Therefore, we write
If the mass is released after having been given a displacement, x, then its acceleration will be
So (as we might have guessed !) the motion is s.h.m. and the constant relating acceleration to displacement is given by and, using T = , we can calculate the time period of the motion.