https://phet.colorado.edu/en/simulations/pendulum-lab

https://phet.colorado.edu/en/simulations/masses-and-springs/about

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1.1: 1.2 NOTE: For this activity, slowing down the 1.3: 1.4: 1.5: in the following activities, you will observe Damping a massspring system under simple None Lots harmonic oscillation. You will then use the U I I | I I data you collect to reinforce the ideas from the pre-lab assignment. Begin by changing the damping slider to \"None.\" Set the 1003 mass onto the spring. Wait for the spring to settle again. You can speed up by pressing the stop sign (E ). simulation and making use of the pause button will be helpful while you're taking data. You will now be using the on-screen timer and the ruler to record displacement as a function of time. Drag both items into the experiment area. Line up your ruler such that 0 cm is in line with the loop at the bottom of the spring. This will be your reference for \"zero\" each time you reset the spring-mass system. To begin recording data, pause the simulation then click on the pause button on the timer. Drag the mass up so that the bottom of the spring lines up with 0 cm. When you press the \"Play\" button on the simulation, the system will bob upanddown while the timer will begin recording. Pause the simulation to freeze time then measure and record displacement and time. Restart for a fraction of a second, pause again, then record the new displacement and time. Repeat this so that several measurements are recorded for each period of oscillation. Data collection can stop once at least three full periods have been recorded. Plot the data in Excel using a Scatter Plot with Smooth Line. Record the Period by taking the difference in position between two troughs or crests Simple Harmonic Oscillation 1.6: 1.7: 1.8: (as illustrated above). The angular frequency of the spring-mass system is . . . 2 . related to the oscullatlon period by 'I' = f. Determine (0. Period i''| Amplitude Amplitude. Picture credit: mathisfun.com Repeat the period measurement for added mass in 50 gram increments up to a total of 300 grams. For each iteration of this process, take the mass off the spring and adjust the mass on the platform. Then, put the new mass onto the spring and reset the oscillation. Determine the period and its uncertainty each time. Record your data in your report. Enter your added mass and T data into two columns in Excel. Create a third column for T2. It will look something like this: Period (5) Period Squared (52) Added mass (kg) Create a scatter plot ofthis data with added mass on the x axis and T2 on the y axis. According to equation 2, add an appropriate fit function to your data. and add a Power trendline. This can be done through the \"Format Trendline\" menu. Make sure the option to \"Display Equation on chart\" is checked. Write out how this mathematical model relates to the physical hypothesis given in Eq. 2. 0 How precisely does the model given by Eq. 2 fit your measured data? 0 Calculate the spring stiffness, k, from your fit para meter(s). Compare the value with that which you found in the pre-lab and discuss the comparison. T=2n\\/% (2) where T is called the period of oscillation. If the spring is stiff (large k), the period would be small. Similarly, a larger mass leads to a longer period of oscillation. In this lab. you will measure oscillation period as a function of hanging mass. 50 a plot of T versus m will be a square root curve going through the origin with a fit parameter of A = 3; You will test this prediction to see if it accurately describes the \"mass on a spring\" system