MASSACHUSETTS INSTITUTE OF TECHNOLOGYPhysics DepartmentPhysics 8.01 Fall Term 2007Experiment 05: Angular MomentumSection:Table and Group:Participants:Each group need turn in only one rep ort.Part I: CalibrationGive the generator calibration (in s−1V−1) and its standard deviation for your apparatus.Moment of InertiaFill in the table below with the values you found when calibrating your apparatus.α1(s−2) α2(s−2) IR(kg m2) Std Dev τf(N m)Variation of Friction Torque with ωFill in the table below with the values you found from a long coast.ωfast(s−1) |α| (s−2) τf fast(N m) ωslow(s−1) |α| (s−2) τf slow(N m)Experiment 05 Report Page 1 of 3 November 14/15, 2006Part IIA: Slow CollisionType of collision (fur-on-fur or brass-on-fur):IR(from Part I): IW(washer you dropped):Fill in the tables below with the values you found in your experiment.ω1(s−1) ω2(s−1) δt (s) αR(s−2) αW(s−2)|α|f coll(s−2) τf coll(N m) IRω1(kg m2/s) Jf coll(N m s) (IR+ IW) ω2Do the data in the above table confirm the conservation of angular momentum aftercorrecting for the impulse of the friction torque ?Assuming constant angular acceleration, how many radians did the rotor rotate during thecollision ?Assuming constant angular acceleration, how many radians did the washer rotate duringthe collision ?How much did the washer slide on the rotor ?Experiment 05 Report Page 2 of 3 November 14/15, 2006Part IIB: Fast CollisionRead ω1and ω2(the values of ωRbefore and after the collision) from your graph and writethem into the table below. (Take “after” to be the time when oscillations are no longervisible.) Calculate the angular momentum before and after the collision and put thosevalues in the table as well.ω1(s−1) IRω1(kg m2/s) ω2(s−1) (IR+ IW) ω2How much kinetic energy was lost over the entire course of the fast collision ?What value did you measure for ωR min(the value of ωRat the bottom of the dip) ?Note: For the remaining two questions you may assume IW= IR.Use the conservation of momentum to find ωWwhen ωR= ωR min:tωRω2ω1tωRω2ω1Assuming the model represented by the sketches above is correct, how much kinetic energywas contained in the oscillation of the washer and the rotor at the time when ωR= ωR min?Experiment 05 Report Page 3 of 3 November 14/15,
View Full Document
Unlocking...