Troubleshooting Mass & Spring Dynamics

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Arup Biswas
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Please tell me which one is wrong! When I put a mass M on one end of a spring!
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You need to state the problem. Are you dropping the mass and trying to find out how far it sinks down (before coming back up). Or are you gently placing the mass at its new equilibrium point? Two different problems!
 
The 1st one you assumed!
 
Realize that the force equation solution just finds the equilibrium point, which is not the lowest point. To solve for the lowest point, you'll use energy conservation.
 
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Thank you very much sir!