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# Physics II PH 112

RHIT

GPA 3.69

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This 4 page Class Notes was uploaded by Jalon Willms on Monday October 19, 2015. The Class Notes belongs to PH 112 at Rose-Hulman Institute of Technology taught by Elaine Kirkpatrick in Fall. Since its upload, it has received 7 views. For similar materials see /class/225115/ph-112-rose-hulman-institute-of-technology in Physics 2 at Rose-Hulman Institute of Technology.

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Date Created: 10/19/15

PH 112 Laboratory M M Rotational inertia experiment notes 120309 Rev c The setup for Logger is discussed on p 334 step 2 Go to Experiments and Set up Sensors and Show all Sensors Rightclick on DigSonic l and select the rotational motion sensor Use the clock icon on top to set data taking to 50sec You must measure various masses and radii as in step 1 p 334 but measure only the diameter of the largest step pulley around 5 cm the smaller diameters are not going to be used You ll also measure the largest diameter of the rotational motion sensor Use the calipers for these diameters and let me know if you have trouble with the vemier reading For the platter mass and the ring mass you will need the additional mass to be hung on the end of the balance This effectively lets you measure an additional 500 g When you measure the heavy ring use calipers to nd the inner and outer ring diameter Make sure the calipers have a proper zero reading see me if you re not sure Wind the string only on the largest sginalle not any of the others Run the string over the largest radius of the pulley on the rotational sensor Don39t use any other radii These two are about the same diameter close to 5 cm Be sure to do two calibration runs where you move the platter through one or more full revolutions and check the reading on the Logger graph This will give you a ratio between angle turned by the platter and angle turned by the rotational sensor This ratio should not be too far from 1 When set up on the correct radii and the lab manual asks you to take data while the rodandnut assembly is descending then stop taking data after it hits bottom Instead I want you to adjust the height of the rota motion sensor so the string will stay on the correct radius after the mass hits bottom and I want you to take data for the entire run both for the mass descending and for the mass rising back up then descending again The following graph of mine shows what Imean next page Tlme s 7 Latest 1 Velucl 059 radsS t 734 04 rads a 9996 s32 radS From the graph you39ll see that Ihave t the angle vs ttme for the whole run up and down Forms angularvelomtyvs halftsh39t qutte nght for the 2rd half 332 Thehp L Fm vt d th t say we can neglect 1 the mtattonat theme ofthe puuey Thatneglectmakes T T and we obtath Eq C p 334 a mghireh 1M tmhz c hut on the way no mass on the stxmg are both aetthg to slow the platter down The slope othe on gaph has alarger magmde on the pan Ifmed than on the otherpan The part rotation The means the mass is hung on the part 0crising mgr Tfric IM furl rising Waning mgr Tfric IM tmrz falling half atotal mgr 1M mr2 frictional torque averages to zero fit of rising and falling Do runs with 3 different rod plus nuts masses 2 trials for each run Use the rod 1 nut rod 3 nuts and rod 5 nuts for your 3 different descending masses Be sure to have Logger give you the uncertainties in the fit coefficients and write all fit coefficients in your lab notebook For each run you will get a value of 1M from atotal atotal is the fit of the full upanddown 9t graph In this run the frictional torques have averaged to zero Then from the nt graph you will get another value 1M of from arising Xfalling 2 Since you do two trials you will get 4 1M values Since you are doing 3 runs you will have 12 1M values altogether Inspect your results and make sure these values are close together Let me see your results Now turn the platter over see sketch below and and add the ringshaped attachment to the top surface of the platter The ring has two small nubs which will fit in holes on the platter Now with the same 3 rod plus nuts masses as you used before do 2 trials for each run platterplusring For the ring you will have measured inner and outer diameter with calipers then calculate Ling MRimer2 Romerz2 n platter use largest spindle The first of these sets will enable you to determine the rotational inertia of the platter and spindle while the second set will let you find the combined rotational inertia of the platter and the ring You will have atotal of 12 1M values for the platter alone and 12 IM values for the platter plus the ring Obtain the average and standard deviation for each of these Frictional torque Now that you have a value for IM you can obtain the frictional torque Find the frictional torque for the lightest mass 1 nut plus threaded rod and spindle from arising 39Xfalling 2 Tfric IM m1igmrz This will be possible because you have found IM Do this for both platter alone and platter ring For the heaviest mass mheavy 5 nuts plus rod again obtain the frictional torque for platter alone and for platter ringMake a 2 x 2 table of results Give the average and standard deviation for each entry Frictional torque I Platter only I Platter and Ring 5 nuts lus rod I I 1 nut plus rod I I Graphs Include one or two typical ts of your 0t and nt graphs These could be hand sketches or pasted in from Logger Avoid repetetive plots which add no value If you claim an uncertainty of i 002 cm for a diameter explain why you did that Analysis Calculate a theoretical value of 1M for platter plus its spindle based on mass and radius Calculate a theoretical value for 1M of the ring From your experimental data nd the 1M for the ring by itself keeping in mind that with the ring on top of the platter that IM is the sum of IM for the platter and IM for the ring Work out an uncertainty in the ring IM based on uncertainty in your experimental 1M values Conclusion Table of frictional torques 2 x 2 Compare theoretical and experimental IM values for the platter and also for the ring Ifthere is a J39 in 1M values for the platter which one should be the larger one F nerimental or theoretical Do the quot quot 39 and e nerimental 1M values agree for the ring within uncertainties Propagate the uncertainty in one of your at values from a t and obtain the uncertainty in IM assuming no uncertainty in m or r Is this uncertainty about the same as the standard deviation of your 12 IM values If it s noticeably different say why you think that might be PH 112 Laboratory MJM Rotational inertia experiment warmup Please include these questions and your answers with your report I ll be glad to help with them in lab or before lab or after lab 1 N E Ifwe have a 35g pendulum of length 050 In what is its moment of inertia with respect to an axis through the pivot point perpendicular to the plane of the pendulum For a solid disc of mass 900 g and radius 125 cm and thickness 11 cm what is its moment of inertia about the axis of rotation through its center of mass perpendicular to the plane of the disc For a thin ring of mass 700 g and radius 80 cm what is its moment of inertia about its axis of rotation through its center of mass perpendicular to the plane of the ring

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