Motion+of+a+Spring

**//__Formula:__//** **X=V*/W(Sin(WT))+X*(Cos(WT))** -V*=Initial Velocity -X*=Location -T=Time Given -W=(Omega) ^Omega is a constant that depends on the stiffness of the Spring and the amount of Weight applied to the Spring. If weight is BELOW Equilibrium, X is POSITIVE. If ABOVE, X is NEGATIVE. //Downward-Velocity= (+), Upward-Velocity= (-// ) **//__ Example: __//** A weight on a spring is set in motion w/ an upward velocity of 3 cm/second from position 2cm below equilibrium. Assume that for this spring and weight combination the constant (W) has a value of 1. Write a formula of the time (T) in seconds, and find the location the weight 2 seconds after the weight is set in motion. **X=V*/W(Sin(WT))+X*(Cos(WT))** **X=(-3cm/sec)/1(sin(1)(2sec))+2(cos(1)(2)) X=-3sin(2)+2cos(2) X=-3(.9093)=2(-0.4161) X=-2.7279+-.8322 X= -3.56**
 * //__ Motion Of A Spring: __//**
 * //__ 3.56cm Above Equilibrium __//**