PHYS201_LAB_HOOKE

2023FA Gen Physics I Sect P/Q Holy Family University Damien Turchi, M.Sc.Eng. PHYS-201-P-2023FA dturchi@holyfamily.edu PHYS-201-Q-2023FA For experiment 1, complete the following steps: 1) Set up the ring stand and clamp to the table roughly 10 cm from the top of the stand. Place the meter stick upright next to the ring stand. 2) Attach the spring on one side to the clamp and on the other side to the mass hanger. Establish the equilibrium position and note the corresponding value on your meter stick. 3) Starting with 10 grams add masses up to 100 grams one at a time in increments of 10 grams to the mass hanger. 4) For each mass measure the displacement experienced by the spring from the equilibrium position. 5) Data section should include a table with two (2) Columns: “Mass Added (g), Displacement (cm)”; Eleven (11) Rows: “0 – 100g” 6) For your analysis section, create a scatterplot with weight (newtons) on the y axis and displacement (meters) on the x-axis. Your weight should include the hanger’s weight. Add a linear fit to this scatterplot. Include the fitted equation and the R^2 goodness of fit value. Comment on the experimental significance of the R^2 value. Also comment on the significance of the linear fit’s slope. Experiment 2: Experimentally determine the frequency Experiment 2 will use the same set-up as experiment 1. In this experiment, you will measure the period of motion and use this data along with the determined spring constant to derive the expected angular frequency. You will identify if the relationship between frequency and angular frequency matches the relationship expected by theory. The following equations will assist you with experiment 2: EQUATION 3 ω = 2π? EQUATION 4 ω = 𝑘 ? EQUATION 5 𝑇 = 1 ? EQUATION 6 ? = 1 2π 𝑘 ? For experiment 2, complete the following steps: 1) Attach the masses from 10 grams to 100 grams in increments of 10 grams one at a time. In each case support the mass and hanger until no tension is on the spring. 2) Release the mass and hanger and measure the time for 25 cycles. A cycle is when the mass returns to the same place from which it started. 3) Divide the time for 25 cycles by 25 to get the period. 4) Use equation 5 to find the experimental frequency. 5) Data section should include a table with two (4) Columns: “Mass added (g), Time of 25 cycles (s)”, “Experimental Period (s)”, “Experimental Frequency (Hz)”; Ten (10) rows: “10g-100g”