Run Mass y0 A T f (g) (cm) (cm) (s) (Hz) 1 2 3 1. View the graphs of the last run on the screen. Compare the position time and the vs. velocity time graphs. How are they the same? How are they different? vs. 2. Turn on the Examine mode by clicking the Examine button, . Move the mouse cursor back and forth across the graph to view the data values for the last run on the screen. Where is the mass when the velocity is zero? Where is the mass when the velocity is greatest? 3. Does the frequency, appear to depend on the amplitude of the motion? Do you have f, enough data to draw a firm conclusion? 4. Does the frequency, appear to depend on the mass used? Did it change much in f, your 5. You can compare your experimental data to the sinusoidal function model using the Manual Curve Fit feature of Logger Try it with your 300 g data. The model Pro. equation in the introduction, which is similar to the one in many textbooks, gives the displacement from equilibrium. However, your Motion Detector reports the distance from the detector. To compare the model to your data, add the equilibrium distance to the model; that is, use where represents the equilibrium distance. y0 Click once on the position graph to select it. Choose Curve Fit from the Analyze menu. Select Manual as the Fit Type. Select the Sine function from the General Equation list. The Sine equation is of the form y=A*sin(Bt +C) + D. Compare this to the form of the equation to match variables; corresponds to C, and 2f corresponds  e.g., to B. Adjust the values for A, B and D to reflect your values for and You can A, f y0. either enter the values directly in the dialog box or you can use the up and down arrows to adjust the values. The phase parameter  is called the and is used to adjust the value phase constant y reported by the model at = so that it matches your data. Since data collection t did not necessarily begin when the mass was at the equilibrium position, is  needed to achieve a good match.
Run Mass y0 A T f (g) (cm) (cm) (s) (Hz) 1 2 3 1. View the graphs of the last run on the screen. Compare the position vs. time and the velocity vs. time graphs. How are they the same? How are they different? 2. Turn on the Examine mode by clicking the Examine button, . Move the mouse cursor back and forth across the graph to view the data values for the last run on the screen. Where is the mass when the velocity is zero? Where is the mass when the velocity is greatest? 3. Does the frequency, f, appear to depend on the amplitude of the motion? Do you have enough data to draw a firm conclusion? 4. Does the frequency, f, appear to depend on the mass used? Did it change much in your 5. You can compare your experimental data to the sinusoidal function model using the Manual Curve Fit feature of Logger Pro. Try it with your 300 g data. The model equation in the introduction, which is similar to the one in many textbooks, gives the displacement from equilibrium. However, your Motion Detector reports the distance from the detector. To compare the model to your data, add the equilibrium distance to the model; that is, use where y0 represents the equilibrium distance. Click once on the position graph to select it. Choose Curve Fit from the Analyze menu. Select Manual as the Fit Type. Select the Sine function from the General Equation list. The Sine equation is of the form y=A*sin(Bt +C) + D. Compare this to the form of the equation to match variables; e.g.,  corresponds to C, and 2f corresponds to B. Adjust the values for A, B and D to reflect your values for A, f and y0. You can either enter the values directly in the dialog box or you can use the up and down arrows to adjust the values. The phase parameter  is called the phase constant and is used to adjust the y value reported by the model at t = so that it matches your data. Since data collection did not necessarily begin when the mass was at the equilibrium position,  is needed to achieve a good match.