A crank of radius r rotates with an angular frequency v. It is connected to a piston

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A crank of radius r rotates with an angular frequency v. It is connected to a piston by a connecting rod of length L (see figure). The acceleration of the piston varies with the position of the crank according to the function

r cos 20 w'r (co a(0) = w²r( cos 0 +

For fixed v and r, find the values of θ, with 0 ≤ θ ≤ 2π, for which the acceleration of the piston is a maximum and minimum.

Crank Connecting rod Piston a

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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