Transcription of Chapter 11 – Torque and Angular Momentum
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Chapter 11 – Torque and Angular Momentum
Chapter 11 Torque and Angular MomentumI. TorqueII. Angular Momentum - DefinitionIII. Newton s second law in Angular formIV. Angular Momentum - System of particles- Rigid body- Conservation- Vector = Direction:right hand :FrFrFrFr == = =)sin(sin Torque is calculated with respect to (about) a point. Changing the point can change the Torque s magnitude and TorqueII. Angular Momentum - Vector quantity.)(vrmprl = =Direction:right hand :vmrprprprvmrvmrprl === = = = = )sin(sinsin l positive counterclockwisel negative clockwiseDirection of l is always perpendicular to plane formed by r and :kg m2/sIII. Newton s second law in Angular formdtpdFnet= LinearAngulardtldnet = Single particleThe vector sum of all torques acting on a particle is equal to the time rate of change of the Angular Momentum of that :()()netnetFrFramrdtldarmvvarmvdtrddtvdr mdtldvrml = = = == = + = + = = )()(V.
Linear Angular dt dl net τ = Single particle The vector sum of all torques acting on a particle is equal to the time rate of change of the angular momentum of that particle. Proof: ( ) r ma r Fnet ( )r F net dt dl v m r a v v m r a dt dr dt dv m r dt dl l m r v τ = × = × = × = = × + × = × = = × → = × + × ∑ ( ) V. Angular momentum ...
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