Question
InM25aexperiment,youaregoingtoobserveNewton'sSecondLawforrotationalmotion, experimentally determine moment of inertia of a platform and of a hollowcylinder (hoop), and compare your experimental values withtheoretical/calculatedvalues. Itispossiblethatanumberofstudentswillbe conductingthisexperimentbeforethe material is covered
InM25aexperiment,youaregoingtoobserveNewton'sSecondLawforrotationalmotion, experimentally determine moment of inertia of a platform and of a hollowcylinder ("hoop"), and compare your experimental values withtheoretical/calculatedvalues.
Itispossiblethatanumberofstudentswillbe conductingthisexperimentbeforethe material is covered in a lecture course. Since many concepts could be new foryou, it is important to read your text, the lab handout, and become familiar with theconcepts related to the experiment and the calculations you will be expected to do inthelab.You canalsoaskyourlectureinstructorforhelp,if needed.
Onceyouarefullyprepared,answerthefollowingquestions:PART I
- (2p) Givethedefinitionofaleverarm.
- (2p) Writedowntheequationto calculatethetorqueif themagnitudeofaforce and theleverarmaregiven.
- (2p) A ruler is suspended on a pivot point and a mass is hanging on each side ofthe suspension point. The system is in equilibrium. How does the torque ontherightsidecomparetothetorqueontheleft side?
Explain!
PARTII
- (3p) Which equation you are going to use to calculate the theoretical moment of inertia of the platform? (Check lab handout!). Explain the meaning of each variable in it and required units.
- (3p) Which equation you are going to use to calculate the theoretical moment of inertia of the hoop? (Check lab handout!). Explain the meaning of each variable in it and required units.
- (2p) Inthesecondpartoftheexperiment,therotationofthesystemoccurs because ahanging mass moves with linear accelerationa, andis attached to a pulley withradius r.Write downthe equation that you will use to calculate the linearaccelerationusing themeasuredradiusandangular acceleration.
- (3p)Write down the equation you will use to calculate tension in the string usingthelinearaccelerationa,massm,andfree-fall accelerationg.
- (3p) The force that exerts the torque on the disk/hoop system is the tensionapplied to the string. Write down the equation to calculate this torque usingthetensionandtheradius. Specify the required units for each variable!
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