A particle of mass 0.50 kg starts moves through a circular path in the xy-plane with a position given by r → (t) = (4.0 cos 3t)i ^ + (4.0 sin 3t)j ^ where r is in meters and t is in seconds. (a) Find the velocity and acceleration vectors as functions of time. (b) Show that the acceleration vector always points toward the center of the circle (and thus represents centripetal acceleration). (c) Find the centripetal force vector as a function of time.

A particle of mass 0.50 kg starts moves through a circular path in the xy-plane with a position given by r → (t) = (4.0 cos 3t)i ^ + (4.0 sin 3t)j ^ where r is in meters and t is in seconds. (a) Find the velocity and acceleration vectors as functions of time. (b) Show that the acceleration vector always points toward the center of the circle (and thus represents centripetal acceleration). (c) Find the centripetal force vector as a function of time.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 59P: A single bead can slide with negligible friction on a stiff wire that has been bent into a circular...

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