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1 mg 2hJ 2hJ Let k'=8m c=- (7) 2hJ 2hJ Then m=kr+tc 1 If the rotating axis pass through the mass center of the object,with corresponding moment of inertia marked withJo,and suppose another axis is parallel to this axis,with distance d,with corresponding moment of inertia around this axis marked with.J.Then J and Jo satisfy: J=Jo+md2 (8) Where m is the mass of the rotating system.The above equation is the parallel axis theorem. Content: 1.Adjust the experimental setup: Remove the cone pulley,mount the alignment pin,adjust the feet of the setup and adjust it vertical. Install the cone pulley,adjust the screw G to make it move freely to keep the friction torque unchanged during the experiment. 2.Measure the moment of inertia of the system around the center axis. (1)Set =(e.g.=2.5cm),place mo at certain position(e.g5,5),let the weight fall from rest at a fixed height. Change the weight m(increment is 5.00g each time),measure the falling time t,take average of three times.Draw the graph and obtain k and c.Calculate J and M (2)Fix the position of mo and keep m=20.00g,change r,repeat the above steps for different r,again take average of three times.Draw the graph and obtain k'and c. Calculate J and Mu. 3.Test the relationship of moment of inertia with the mass. (1)Keep the other conditions (h,r,etc.)constant,exchange mo with aluminum heavy weight mo',place it at the same position (e.g.,5,5'),repeat above steps and make a list.Calculate J and Mu.4 ' ' 2 ' ' 2 1 2 2 2 2 1 k r c rt hJ M c hJ gm k hJ M r hJ mg rt = + = = − = −   (7) * If the rotating axis pass through the mass center of the object, with corresponding moment of inertia marked with J0, and suppose another axis is parallel to this axis, with distance d, with corresponding moment of inertia around this axis marked with J. Then J and J0 satisfy: J= J0+md2 (8) Where m is the mass of the rotating system. The above equation is the parallel axis theorem. Content: 1.Adjust the experimental setup: Remove the cone pulley, mount the alignment pin, adjust the feet of the setup and adjust it vertical. Install the cone pulley, adjust the screw G to make it move freely to keep the friction torque unchanged during the experiment. 2.Measure the moment of inertia of the system around the center axis. (1)Set r=r1 (e.g., r1=2.5cm), place m0 at certain position (e.g., 5, 5′), let the weight fall from rest at a fixed height. Change the weight m (increment is 5.00g each time), measure the falling time t, take average of three times. Draw the graph and obtain k and c. Calculate J and Mμ (2)Fix the position of m0 and keep m=20.00g, change r, repeat the above steps for different r, again take average of three times. Draw the graph and obtain k’ and c. Calculate J and Mμ. 3.Test the relationship of moment of inertia with the mass. (1)Keep the other conditions (h, r, etc.) constant, exchange m0 with aluminum heavy weight m0′, place it at the same position (e.g., 5, 5′), repeat above steps and make a list. Calculate J and Mμ. Let Then
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