The two-dimensional motion of a particle is defined by the relations r = 2 B cos(At/2B) and

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The two-dimensional motion of a particle is defined by the relations r = 2 B cos(At/2B) and θ = At/ 2B, where r is expressed in meters, t in seconds, and θ in radians. Knowing that A and B are constants, determine

(a) The magnitudes of the velocity and acceleration at any instant,

(b) The radius of curvature of the path. What conclusion can you draw regarding the path of the particle?

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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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