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Linear Impulse and Momentum; Collisions - MIT …

J. Peraire, S. Widnall Dynamics Fall 2009. Version Lecture L9 - Linear Impulse and Momentum. Collisions In this lecture, we will consider the equations that result from integrating Newton's second law, F = ma, in time. This will lead to the principle of Linear Impulse and momentum. This principle is very useful when solving problems in which we are interested in determining the global e ect of a force acting on a particle over a time interval. Linear Momentum We consider the curvilinear motion of a particle of mass, m, under the in uence of a force F . Assuming that the mass does not change, we have from Newton's second law, dv d F = ma = m = (mv) . dt dt The case where the mass of the particle changes with time ( a rocket) will be considered later on in this course.

A baseball is traveling with a horizontal velocity of 85 mph just before impact with the bat. Just after the impact, the velocity oof the 5 81 oz. ball is 130 mph, at an angle of 35 above the horizontal. We want to determine the horizontal and vertical components of the average force exerted by the bat on the baseball during the 0.02 s impact.

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