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McMaster University *

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Feb 20, 2024

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Physics 1AA3 Lab Report Template Experiment 2: Rotational Motion Name: Student number: Partner names & student no.: Please fill out your name and student number and then your partner’s name & student numbers above. Use this template to record your answers to the questions for the manual and complete the lab exercise. Please do not add any extra sections/information beyond what is prompted below. Be sure to hand this report in to your TA before you leave.

Question 1 (0.5 marks) What attributes of the masses used in this experiment make them different from point masses? Think about the definition of a point mass and whether it applies to the masses here. Question 2 (abbreviated) (1.25 marks) What is the hypothesis you will test regarding the moment of inertia of the rotating masses in the apparatus? (Be sure to consider the equations presented in the introduction section, and whether we are testing the validity of an equation/relation or the application of a theoretical equation to a real life object.)

Bottom or resting position of the driving mass, with uncertainty and units (0.25 marks): Top or drop position of the driving mass, with uncertainty and units (0.25 marks): Sample calculation for the vertical distance the driving mass falls, h 0 , final answer rounded with uncertainty, and units. (0.75 marks)

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Position of the driving mass after 15 full revolutions, with uncertainty and units (0.25 marks): Sample calculation for the radius of the rotating shaft, r , final answer rounded with uncertainty and units (0.75 marks) Question 3 (abbreviated) (0.5 marks) How will the (small, but finite) thickness of the string affect your measurement of the vertical shaft radius, r ? Secondly, recall from the pre-lab quiz that I is proportional to r 2 . How does the finite thickness of the string affect our calculations of I ?

Question 4 (0.5 marks) Looking at Tables 2a-e, do you observe any correlation between the drop times (t) and the position of the disk masses (R)? In other words, how does t vary as R increases? Provide a brief explanation for this trend based on the torque exerted on the rotating apparatus and its moment of inertia. Hint: Think about the source of torque, which makes the shaft rotate. Is it the driving mass, or the disk-masses on the crossbar?

Sample calculation for the uncertainty of the slope and intercept, with units, if applicable (0.75 marks) Write down the full equation of the linear fit, with units and uncertainties below (0.25 marks)

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Question 5 (1.0 marks) Do the slope and y-intercept agree with the theoretical predictions? (Recall: The mass of the two 0.1 kg disk-masses and the nuts used to attach them to the cross bar, is, in total, 0.2375 ± 0.0001 kg Question 6 (abbreviated) (0.5 marks) Explain how the finite sizes of your masses m 1 and m 2 affect the moment of inertia of the system, and how this is related to the y-intercept in the I m versus R 2 plot.

Question 7 (0.5 marks) Some of the uncertainty in I m comes from I 0 . How does this uncertainty affect the scatter of the data points? That is, does the uncertainty in I 0 affect all data points the same way? Digital Submission (2.0 marks): Figure 1 (0.5 marks), Figure 2a, b (1.0 marks), Capstone workbook completion (0.5 marks)

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