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Okay. So hereamp;#39;s our mass hanging from the ceiling on a spring with the spring constant K. If I started shaking up and down and oscillating, we know it will move with a certain period. How do we adjust that period? Well let me first tell you the force law of a spring. And to do this, it actually may be better to think of the spring being horizontal. Hereamp;#39;s our spring at its normal happy equilibrium position. Weamp;#39;re going to call the equilibrium position x = 0. Now letamp;#39;s see, when we stretched the spring a bit and when we moved the mass back to letamp;#39;s say here to some position x. Well the spring exerts a force backwards back towards the equilibrium. The force of a spring is somehow negative. If I pulled to the right, it pulls to the left. And in fact, if I pull further to the right it pulls harder to the left. If you ever pulled on a spring you can tell pulling it a little bit is easy. Pulling it more is more difficult so actually the force is propor