When you have completed this assignment, you will be able to: Hook's law . Simple Harmonic motion of mass-spring system . Pendulum system. Equipment: Internet + equilibrium position +x Discussion: Simple harmonic motion occurs when a displacement from equilibrium results in a restoring force that is proportional to that displacement. In other words, F o Scatter plot to plot out the data . Right click on any data point, then select "Add Trend Line", in the trend line option, select, linear, set intercept at (0,0) and displace equation on chart. Record your slope, or k value, in the blank below Data Table 1. . Copy and paste your plotting here. Compute and record the slope of the best fit line, which represents the spring constant, k, of the coil spring. Record your slope, or k value, in the blank below Data Table 1. ) Data Table 1: Mass Force Elongation "L" (kg) (N) (m) 0.050 0.100 0.150 0.200 0.250 0.300 graph] Spring Constant: k = N/mPart II. Oscillation period vs. amplitude 1. Click on the clear all button (orange circle found in the bottom right of your screen). See image to the right. Then, place a check C in the box labeled "Mass Equilibrium". Drag both the ruler and the blue stopwatch/timer out from their box along the left. Move the 00:00.00 slider for "Damping" to "None." 2. Determine if the oscillation period is independent of the amplitude of oscillation. To do this, . Hang a mass of 0.20 kg (200g) from the end of the spring. This will stretch the spring to a new neutral position (marked by the black dashed line). Page 3 of 5 From this (neutral) position, pull the spring down an additional 4.0 em and release it. (You may find using the black dashed line and the Blue pause button (on the bottom right) to be helpful, here.). Use the stopwatch to measure the time for 20 complete oscillations. Record this result in Data Table 2. Helpful hint: Click on the Blue Pause button, move the spring with hanging mass to the desired location, click the "start" arrow on the stopwatch, then when ready click the "Pause" button. This will start both the stopwatch and the oscillations. 8. Repeat stop 7 for amplitude of 8.0 cm. Complete the discussion based upon Data Table 2. Data Table 2: Amplitude (cm) Time for 20 oscillations Period (time for one oscillation) 4.0 8.0 Discuss these results. Does the period depend upon the amplitude of oscillations? (hint: this is related why the old watch use a spring mass system as their timing device). Part III oscillations 1. Hang a mass of 0.10 kg from the end of the spring. With an amplitude of 5.0 cm, measure the time for 20 complete oscillations. Record this time in Data Table 3. Determine the period, T (time for one complete oscillation). Record this as Timeas in the data table.2. Use equation for spring oscillator T = 2m (the k is the spring constant you obtained in Part 1) to compute the calculated value of the period. Record this data as To Then, compute and record the % Difference between the measured and calculated values of period. 3. Repeat steps 9 and 10 for the loads specified in the data table. 4. Now run the simulation and observe the energy graph on the left, list the type of energies involved: [Answer] 5. Observe the change in each type of energy, does the total mechanical energy change? [Answer]Data Table 3: Mass Time 20 (kg) OSC. (s) Tmeas (s) Teal (s) % Diff (9%) 0.100 0.200 0.300