A particle moves along the plane trajectory y (x) with velocity v whose modulus is constant. Find

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A particle moves along the plane trajectory y (x) with velocity v whose modulus is constant. Find the acceleration of the particle at the point x = 0 and the curvature radius of the trajectory at that point if the trajectory has the form (a) Of a parabola y = ax2;
(b) Of an ellipse (x/a)2 + (y/b)2 = 1; α and b are constants here.
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Vector Mechanics for Engineers Statics and Dynamics

ISBN: 978-0073212227

8th Edition

Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell

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