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Classical MechanicsReview 3, Units 1-16Review for midterm #3Mechanics Review 3, Slide 1
Important EquationsCenter of massCollisionsElastic Collisions: andInelastic Collisions: but Perfectly Inelastic Collisions: Impulse of a Force Rigid BodiesMoment of Inertia: Torque: Dynamics: andRelations Between Angular and Linear Quantities:Parallel Axis Theorem:IAxis= ICM+ MD2Rolling Motion: Mechanics Review 3, Slide 2v1,iv2,iv1, fv2, f)τNetIα= rF sin0TotalP0TotalKCMiifvmmvmvmv212211RaRvRst,,0TotalPiiCMvmMv1iiCMrmMr1MFaExtNetCM,0TotalK0TotalPCMExtNetaMF,dtFtFpavg2iiAxisrmIFrxcmR,vcmR,acmR
Example: Elastic Collision in 1DTwo masses approach each other with equal and opposite velocities as measured in the lab reference frame. The mass moving to the right is twice as massive as the one moving to the left. The collision between them is elasticWhat is the velocity of the center of mass before the collision? What is the velocity of the center of mass after the collision? What are the velocities of the two objects after the collision?.Mechanics Review 3, Slide 3)