SPH 4UI Springs and Simple Harmonic Motion Purpose: to set up, observe, record and analyze an oscillating spring system in order to develop a better understanding of elastic systems Materials: -retort stand, ring clamp and 3 finger clamp -mass set and hanger -spring meter stick -video recording with Slo-Mo ability - chrome book with large timer on the screen Set-Up: See demonstration set up Procedures: Part A: set up the spring with a mass hanger and select a mass that stretches the spring a bit, but not so much that it threatens to permanently deform the spring] - pull the spring down (or raise it up) a small amount from its equilibrium position and release it, resulting in periodic motion (bouncing up and down). - use a stopwatch to measure the time for 20-30 (pick a number and be consistent) complete cycles and record the mass and time and calculate the period for the setup. - make a data table that has mass, period and period and enter your data. - change the mass and repeat for 4 more (and different) masses. Record in the table. - Make a graph of Tz vs m. Use your graph and the equation for SHM for a spring to find the spring constant for your spring. Part B: -hang 150 g from the spring set the meter stick up so that it is vertical and right behind the mass/spring - record the equilibrium position of the mass (from the meter stick) set up the slo-mo video recorder so that it is stable (not shaky or moving) so that its view is level with the bottom of the hanging mass, about 30 cm away, and so that the chromebook timer is visible - set the mass oscillating with an initial amplitude of about 5 or 6 cm, with the timer running and record the motion in slo-mo mode - record the motion for at least 10 complete oscillations and then stop the recording - prepare a sheet of graph paper to make a vertical position-time graph...time on the horizontal axis and scale it so that it will fit the entire time for 10 complete oscillations. Also, scale the position axis so that the equilibrium position is the "0" cm... and both positive andPart B: - hang 150 g from the spring - set the meter stick up so that it is vertical and right behind the mass/spring - record the equilibrium position of the mass (from the meter stick) - set up the slo-mo video recorder so that it is stable (not shaky or moving) so that its view is level with the bottom of the hanging mass, about 30 cm away, and so that the chromebook timer is visible set the mass oscillating with an initial amplitude of about 5 or 6 cm, with the timer running and record the motion in slo-mo mode - record the motion for at least 10 complete oscillations and then stop the recording - prepare a sheet of graph paper to make a vertical position-time graph...time on the horizontal axis and scale it so that it will fit the entire time for 10 complete oscillations. Also, scale the position axis so that the equilibrium position is the "0" cm...and both positive and negative values represent the position of the mass above and below the rest position. advance the slo-mo video so that you can obtain position and time data to capture the full, smooth, motion of the mass (at least 6 points between each maximum)....record the values in a data table and make a graph (in Google Sheets if you prefer) - the resulting graph represents what is called "Simple Harmonic Motion". Challenge: Can you find the function that fits your data? Use Google Sheets and your previous knowledge to help. To make it a bit easier, don't worry about trying to model the damping effect (the amplitude decreases...eventually to zero), just try to model the pattern of the function. SPH 4UI Springs and Simple Harmonic Motion (modified to be done at home) Purpose: to set up, observe, record and analyze an oscillating spring system in order to develop a better understanding of elastic systems. Materials: -light weight water bottle, etc. -measuring cup with ml markings (or cups) -elastic band (or another elastic material) -tape measure, meter stick, ruler, or home-made measuring device (phone) video recording with Slo-Mo ability and a stop-watch - chrome book with large timer on the screen (Google 'stopwatch") something to support the elastic band, etc so it can hang with a mass - tape, string, etc to secure/attach components as needed.Procedures: Part A: - set up the elastic band with water bottle and fill it with 100 ml (1 ml = 1 g) of water (or whatever amount that stretches the elastic a bit, but not so much that it threatens to permanently deform/break the elastic) - pull the water bottle down (or raise it up) a small amount from its equilibrium position and release it, resulting in periodic motion (bouncing up and down). - use a stopwatch to measure the time for 20-30 (pick a number and be consistent) complete cycles and record the mass and time and calculate the period for the setup. - make a data table that has mass, period and period and enter your data. - change the mass (you could add 50 ml of water at a time) and repeat for 5 more (and different) masses. Record in the table. - Make a graph of T' vs m. Use your graph and the equation for SHM for a spring to find the spring constant for your spring. Part B: - hang about 150 g from the elastic band set the meter stick (or other measuring scale) up so that it is vertical and right behind the mass/elastic - record the equilibrium position of the bottle (from the meter stick) - set up the slo-mo video recorder so that it is stable (not shaky or moving) so that its view is level with the bottom of the hanging water bottle, about 30 cm away, and so that the chromebook timer is visible - set the bottle oscillating with an initial amplitude of about 5 or 6 cm, with the timer running and record the motion in slo-mo mode - record the motion for at least 10 complete oscillations and then stop the recording - prepare a sheet of graph paper to make a vertical position-time graph...time on the horizontal axis and scale it so that it will fit the entire time for 10 complete oscillations. Also, scale the position axis so that the equilibrium position is the "0" cm... and both positive and negative values represent the position of the mass above and below the rest position. - advance the slo-mo video so that you can obtain position and time data to capture the full, smooth, motion of the mass (at least 6 points between each maximum)....record the values in a data table and make a graph (in Google Sheets if you prefer) - the resulting graph represents what is called "Simple Harmonic Motion". Challenge: Can you find the function that fits your data? Use Google Sheets and your previous knowledge to help. To make it a bit easier, don't worry about trying to model thePart B: - hang about 150 g from the elastic band - set the meter stick (or other measuring scale) up so that it is vertical and right behind the mass/elastic - record the equilibrium position of the bottle (from the meter stick) - set up the slo-mo video recorder so that it is stable (not shaky or moving) so that its view is level with the bottom of the hanging water bottle, about 30 cm away, and so that the chromebook timer is visible - set the bottle oscillating with an initial amplitude of about 5 or 6 cm, with the timer running and record the motion in slo-mo mode - record the motion for at least 10 complete oscillations and then stop the recording - prepare a sheet of graph paper to make a vertical position-time graph...time on the horizontal axis and scale it so that it will fit the entire time for 10 complete oscillations. Also, scale the position axis so that the equilibrium position is the "0" cm...and both positive and negative values represent the position of the mass above and below the rest position. - advance the slo-mo video so that you can obtain position and time data to capture the full, smooth, motion of the mass (at least 6 points between each maximum)....record the values in a data table and make a graph (in Google Sheets if you prefer) the resulting graph represents what is called "Simple Harmonic Motion". Challenge: Can you find the function that fits your data? Use Google Sheets and your previous knowledge to help. To make it a bit easier, don't worry about trying to model the damping effect (the amplitude decreases..eventually to zero), just try to model the pattern of the function. Assignment/Report: Your report should include: Title, Purpose, Materials (with labeled pic of your setup), Date and your name clearly shown Procedures included (you can copy and paste them from this doc) with your edits/additions based on your own specific version of the lab Observations section with any videos attached and data tables included Analysis section with your graphs and calculations Conclusion section that has a full sentence response to the Purpose statement