![]() ![]() 4) Using a disk + ring positioned horizontally on the platform, attach a 100 g weight ("hanging mass”) to the thread and suspend it over the pulley. 2) Determine the theoretical moment of inertia for the ring using the formula stated in the DISCUSSION 3) Measure and record r, the distance from the rotation axis to the string (this is where the tension is applied to produce the torque). 1) Record the mass of the ring and the inner and outer radii of the ring. Part 2: Determine the moment of inertia for the ring rotating horizontally (the axis of rotation is perpendicular to the plane of the hoop). ![]() 1-2(0,93 kg) (0.09m)=0.00057915 kg/m2 7.73 0.09 m2 0.005791519 0.006-7175 Table 1 Mass of the disk M (kg) Radius of the disk R (m) Theoretical moment of inertia for the disk I = MR2 in which Ris the radius of the disk and M is the mass of the disk (kg*m) Radius of the spool, r (m) Acceleration of the hanging mass a (m/s) Experimental moment of inertia for the disk /= mig - ala in which r is the radius of the spool where the torque is applied, mis the hanging mass, and a is the acceleration of the hanging mass (kg*m? Percent difference between the theoretical moment of inertia for the disk and experimental moment of inertia for the disk % difference = Jexperimental theoretical (theoretical experimental 0.00991898 AA? 152.5424 X 100 1- (0,03 m ( 04 (9:8-0.00672 715) 0.00672 0,08933983 0.00313558 > 65.9688 0.00524906 0.00475 312 0.00412748 0.007855524 3 Compare it to the theoretical value calculated in Step 2 of the PROCEDURE and determine the percent difference between the two. 5) Using the formula for I in terms of a derived in DISCUSSION, calculate the experimental value for the rotational mass of the disk. Use the slope of the graph to find the acceleration of the weight and record acceleration in the table. Let it fall from rest (at the top of the table) toward the floor, while using the photogate and PASCO Capstone file to display the graph of the linear velocity of the weight vs time. ![]() You may need to use calipers for this step 4) Using a disk only positioned horizontally on the platform, attach a 100 g weight ("hanging mass") to the thread and suspend it over the pulley. 2) Determine the theoretical moment of inertia for the disk using the formulas stated in the DISCUSSION 3) Measure and record r, the distance from the rotation axis to the string (this is where the tension is applied to produce the torque). ![]() 1) Record the mass of the disk and radius of the disk. PROCEDURE: Part 1: Determine the moment of inertia for the disk rotating horizontally (the axis of rotation is perpendicular to the plane of the disk). Which one reaches the bottom first, and why? Each are released from rest from the top of the same inclined plane. A disk and a ring have the same mass and the same radius. Discuss sources of error in this experiment. ![]()
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