L20Bint - mg T T y mg xT L20Bint Interpretations for Simple...

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+y T T +x T mg mg mg L20Bint. Interpretations for Simple Harmonic Motion of a Vertical Spring Part 1: Graphical Analysis 1. The fit coefficient that represents the angular velocity is B. 2. ω =2 /T π T=2 / π ω T=2 / π 9.017 1/s T=.697 s The period on the graph was about .70 s. This value is very close to period we found. 3. ω =(k/m)^(0.5) ω =((28.6 N/m)/(0.350 kg))^(.5) =9.03 1/s ω The angular velocity obtained here is close to the value used in number 2. 4. The equation of fit for position vs. time is x=0.0613 m*(sin(9.017 1/s*(t)+1.516))+0.8197 m. Thus the amplitude is 0.0163 m and the equilibrium position is 0.8197 m. 5. Vertically up is the positive direction. 6. When the mass has its greatest positive displacement, I expect the value for the velocity to be zero, because it should be slowing down to zero to go in the other direction. My velocity graph agrees with this prediction. 7. I expect the acceleration to be negative. My acceleration graph agrees with my prediction. This is because the mass is slowing down to move in the opposite direction. Acceleration at this time has reached its greatest value in magnitude.
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