Wilson, College Physics, 6th Edition http://www.humbertomosquera.com.co Chapter 8 Numbered Equations vCM r (rolling, no slippling) (8.1) s r aCM (8.1a) vCM r r t t (8.1b) r F rF sin (8.2) Fnet Fi 0 (for translational equilibrium) net i 0 (for rotational equilibrium) (8.3) Con formato Fx : T1 cos 1 T2 cos 2 0 (1) Fy : T1 sin 1 T2 sin 2 mg 0 (2) cos 1 T2 T1 cos 2 (3) net r Fnet rF rma mr 2 torque on a particle 1 (8.4) net i 1 2 3 n m1r 12 m 22 r2 m3 r 32 mn r 2n (8.5) (m1r 12 m2 r 22 m3 r 32 mn r 2n ) net mi r i2 I mi r i2 moment of inertia (8.6) net I net torque on a rigid body (8.7) I I CM Md 2 a R (8.8) 2T M (1) mg T ma or T mg ma a 2mg (2m M ) W P (2) W t t (3) (single force) (8.9) (8.10) 2 Wnet 12 I 2 12 I 2o K K o K (8.11) K 12 I 2 (8.12) 2 K 12 I CM 2 12 MvCM (rolling, no slipping) (8.13) L r p mr v mr2 single-particle angular momentum (8.14) total rotational translational KE KE KE L (mi r i2 ) I rigid-body angular momentum (8.15) L I L t (8.17) vo2 2g (1) net x (8.16) L L L o I I o o 0 or I I o o (8.18) 3 Chapter Review vCM r (8.1) r F rF sin (8.2) Fnet Fi 0 and net i 0 (8.3) I mi r i2 (8.6) net I (8.7) I I CM Md 2 (8.8) W (8.9) P (8.10) Wnet 12 I 2 12 I o2 K (8.11) K 12 I 2 (8.12) 2 K 12 I CM 2 12 MvCM (8.13) 4 L r p mr v mr2 (8.14) L I (8.16) net L t L Lo or (8.17) I I o o (8.18) 5