11 12 2010 fri rotational kinetic energy energy associated with rotation is given by an equation analogous to that for straight line motion 1 2 for an object that is ...
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...Fri rotational kinetic energy associated with rotation is given by an equation analogous to that for straight line motion object moving but not rotating km v only ki rolling i e translating and simultaneously the total of such vi racing shapes revisited question which shape will have biggest velocity after we three objects a solid disk ring down slope sphere all same mass m radius r if solution let s use conservation analyze race release them from rest at top incline between two roll without slipping ramp win assume generic inertia ic mr start usual five term uk w u k iincff it way tie eliminate terms are zero f can t tell depends on or insert expressions mgh mv what does this us cmv because rolls translational ke next substitute where c disc gh cmr result shows larger value slower both cancel out fraction potential directed toward less cv available so moves translates more slowly solving speed bottom simulation figure skater revisit spinning excellent example angular when her arms in ...