Procedure A: Direct application of Hooke's Law. 1. Note the position of the bottom of the spring when no mass has been added. Click the checkbox for "Damp Spring" in the bottom right. This will allow the oscillations to die down (relatively) quickly after a mass is added so you can find the new equilibrium point Measure the displacement of the spring produced by the various weights hung from the spring. This is just the change in the position of the bottom of the spring relative to its location with no mass added. 2. Use Grapher to make an appropriate graph to determine the spring constant of the spring.

Procedure B: 1. Choose an intermediate value of mass and set the system into oscillatory motion. By direct observation, test the prediction that the period is independent of the amplitude of the motion. Independence of amplitude and period distinguishes simple harmonic motion from general harmonic motion

[All you really need to do is show that the period is unchanged for "small" "medium" and "large" amplitude oscillations.] I suggest turning off the "Auto-Stopwatch". Attach a mass to the spring and use "Damp Spring" to stop the oscillations. Turn off "Damp Spring" and give the mass a push ("small" "medium or "large') with by dragging it with the mouse. Use the stopwatch to time 10 oscillations of mass. It is usually easiest to start your timing at the top or bottom of the oscillation (because the mass is instantaneously at rest at those points). It is helpful to think (or say) 'Zero' as you start the stop watch to make sure you count 10 oscillations. You could also try to get the period from the graph in the simulation or by exporting the data to Grapher (or a more sophisticated graphing program that does Trigonometric fits), but I think the old-fashioned way is easy/convenient/reasonably accurate. Procedure C: Determining k from the periodic motion. 1. Using the same technique, measure the period of oscillation as a function of mass. Use the five (known) masses that are provided. 2. By making an appropriate straight-line graph in Grapher, determine the spring constant and the mass of the spring.

Lab #ZSimple Harmonic Motion Insert your graph for Part A here Part A. MASS (kg) DISPLACEMENT {m) What is the spring constant, as determined by Hooke's Law Type your answer here Insert your graph for Part C here. Part B. AMPLITUD 'Small 'Medium 'Large ' E PERIOD (5} Part C. MASS {kg} PERIOD {5} PERIOD: {52} What is the spring constant, as determined from simple harmonic motion? Insert your answer here