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Unformatted text preview: In this case, every particle of the body is executing circular motion with its own radius r i . The following hold for the i th particle of the rigid body, s i = r i v i = r i (velocity) a t = r i = dv i /dt (tangential acceleration) a c = v i 2 /r i = r i 2 (radial or centripetal acceleration). CAUTION: r i is NOT the magnitude of the position vector of the i th particle, but is the radius of its circular motion. See Figure The motivation for this chapter is based on the fact that certain quantities ( and ) describe the body as a whole and not just the individual particles of the body. Special Case of Motion: Constant (t) = o + o t + t 2 and (t) = o + t . Can you guess the rotational shortcut equation? EXAMPLES(in class)...
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