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# lecture+notes+12 - 14:440:222 Dynamics(Lecture Note#12...

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14:440:222 Dynamics (Lecture Note #12) Instructor: Prof. Peng Song Rutgers University Today’s Lecture •Impac

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Applications The quality of a tennis ball is measured by the height of its bounce. This can be quantified by the coefficient of restitution of the ball. In the game of billiards, it is important to be able to predict the trajectory and speed of a ball after it is struck by another ball. Impact occurs when two bodies collide during a very short time period, causing large impulsive forces to be exerted between the bodies. Common examples of impact are a hammer striking a nail or a bat striking a ball. The line of impact is a line through the mass centers of the colliding particles. In general, there are two types of impact: Central impact occurs when the directions of motion of the two colliding particles are along the line of impact. Oblique impact occurs when the direction of motion of one or both of the particles is at an angle to the line of impact. Impact
Central impact happens when the velocities of the two objects are along the line of impact (recall that the line of impact is a line through the particles’ mass centers). v A v B Line of impact Central Impact In most problems, the initial velocities of the particles, (v A ) 1 and (v B ) 1 , are known, and it is necessary to determine the final velocities, (v A ) 2 and (v B ) 2 . So the first equation used is the conservation of linear momentum, applied along the line of impact. (m

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lecture+notes+12 - 14:440:222 Dynamics(Lecture Note#12...

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