Background In this experiment you will examine the relationship between the rotational motion of a solid disk and the translational motion of a small mass. The small mass will be connected to the disk by a very light thread which will be tied to the mass and then wrapped around the edge of the disk. The disk will be placed so that it can spin freely and the mass will be allowed to hang down from the disk. The hanging mass will create tension in the string causing the disk to slowly start to spin. Since the string is very light, we can assume a massless string for this problem and therefore a constant tension throughout the string. That is, the tension pulling upward on the mass (keeping it from falling with the free-fall acceleration due to gravity) will be the same as the tension pulling on the edge of the disk causing it to spin up, a.k.a causing its angular acceleration. The motion of the falling mass can be studied using Newton's Second Law and linear kinematics, while the motion of the spinning disk can be studied using Newton's Second Law for Rotation and angular kinematics, but the two motions are connected because of the string. The system will initially be held at rest (the disk won't spin and the hanging mass won't fall) until released. Our set-up will be similar to the simplified one in the figure below. We may ignore friction and drag throughout the system; however, the moment of inertia l of the disk is considerable and cannot be ignored. Consider the situation shown below in Figure 1. This shows one interpretation of the disk-mass connection described above.Images of Large Diskmm 10 20 30 40 50 INCHES 2 12 LL 1080 290 300 12 THE C-THRU RULER COMPANY Bloomfield, CT 06002, U.S.A. C-Thru Custom Products Div. (860) 243-0303 The images below show a triple-beam balance with the large disk. Because the disk's mass is so large, beyond the total mass that the scale can measure regularly, extra "ballast" mass must be added to the scale. (Note the extra cylinder on the right side of the scale.) The particular ballast added this time adds 1000 grams to the scale's reading. To determine the mass of the large disk, total the numbers on the three scales and then add an additional 1000 grams. Since the large disk has about twice the radius of the smaller disk, you should be able to assess whether your readings are approximately accurate, at least compared to one another.O 20 30 40 50 60 70 100 200 300 400 500 TRIPLE BEAM BALANCE 2610g -5lb 2oz OHAUSAnother view: 10 20 30 40 50 70 100 200 300 400 500 8 101 Massing large disk - pic 2 10 8 TRIPLE BEAM BALANCE 26109 5 lb 2oz OHAUSQuestion 5 (2 points) () Listen Which combination of disk and hanging mass do you expect to produce the lowest acceleration for the hanging mass? Large disk - smaller hanging mass Large disk - larger hanging mass Small disk - smaller hanging mass Small disk - larger hanging mass Question 6 (2 points) () Listen Which combination of disk and hanging mass do you expect to produce the highest acceleration for the hanging mass? Large disk - smaller hanging mass Large disk - larger hanging mass Small disk - smaller hanging mass Small disk - larger hanging mass Question 7 (3 points) Listen Using the equation for the acceleration of the hanging mass that you determined in the first section, calculate the acceleration of the hanging mass when the small mass is tied to the large disk. Note, a more precise measurement of the smaller mass is 5.30 grams.Question 10 (3 points) () Listen Using the equation for the acceleration of the hanging mass that you determined in the first section, calculate the acceleration of the hanging mass when the larger mass is tied to the small disk. Note, a more precise measurement of the larger mass is 10.05 grams. Your Answer: Answer units Question 11 (2 points) Listen For which combination of disk and hanging mass do you expect the hanging mass to have the shortest fall time? Large disk - smaller hanging mass Large disk - larger hanging mass Small disk - smaller hanging mass Small disk - larger hanging mass Question 12 (2 points) ()Listen For which combination of disk and hanging mass do you expect the hanging mass to have the longest fall time? Large disk - smaller hanging massYour Answer: Answer units Question 15 (3 points) Listen Using the equation for the fall time that you determined in the first section, calculate the fall time of the hanging mass when the small disk was tied to the smaller hanging mass. In order to calculate this to a high precision, remember to use at least 3 significant digits from previous calculations. Needed: The hanging mass is released from a height of 0.787 m above the floor. Note: A more precise value for the smaller hanging mass is 5.30 grams. Your Answer: Answer units Question 16 (3 points) Listen Using the equation for the fall time that you determined in the first section, calculate the fall time of the hanging mass when the small disk was tied to the larger hanging mass. In order to calculate this to a high precision, remember to use at least 3 significant digits from previous calculations. Needed: The hanging mass is released from a height of 0.787 m above the floor. Note: A more precise value for the larger hanging mass is 10.05 grams.Disk Hanging Trial 1 (s) Trial 2 (s) Trial 3 (s) mass (g) Trial 4 (s) Trial 5 (s) Large 5.3 5.18 5.71 5.38 4.99 5.25 Large 10.05 3.58 3.62 3.68 3.43 3.74 Small 5.3 2.77 2.71 2.83 2.65 2.61 Small 10.05 1.66 2.00 1.99 1.99 1.92 Question 17 (3 points) Listen What was the average fall time that you found from the videos involving the large disk? A/ Question 18 (3 points) Listen What was the average fall time that you found from the videos involving the small disk?Question 19 (12 points) () Listen Using the data in the table above, ignore the maximum and minimum trial for each combination and average the remaining three values. After finding the average fall time compare it to the predicted fall time from the previous section and calculate the percent error. You may copy the table below or create your own. Predicted Fall Average Fall Hanging mass Time (s) Time (s) Disk % Error (g) (Calculated) (Experimental) Large 5.3 Large 10.05 Small 5.3 Small 10.05Question 20 (5 points) Listen Were the results what you expected? Explain your answer.Question 21 (3 points) () Listen Describe how torque is used in this experiment, including how it is applied and what the result is. Question 21 options: A Question 22 (3 points) Listen Which spins up faster when the same size hanging mass is attached, the large disk or the small disk? Explain and include a discussion of moment of inertia in your