AER 403 Lecture Notes - Lecture 1: Acceleration, Angular Acceleration, Dot Product

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Mechanisms & vibrations: acceleration analysis, acceleration analysis, normal and tangential acceleration relative acceleration, coriolis acceleration. Course outline: acceleration analysis, normal and tangential acceleration relative acceleration, coriolis acceleration. Mechanism assignment #4: acceleration analysis text: sections 4. 1 - 4. 4. Loop (position) equation using complex numbers r r r r rej180 rej 2 rej 3 rej( 4 180) 0 12341234. Velocity equation (1st derivative) j rej 2 j rej 3 j rej 4 note:ej90 j; ej180. Remember r v r. v = 0 acceleration equation (2nd derivative) j rej 2. At an at an at an b b cb cb c c. R. at = 0 note = d /dt, j2 = -1. Taking dot product of e j 3 both sides becomes (j rej 2. 2r j 3 ). ej 3 (j rej 4. ) 22 2322 2333 3333 33 r cos(90. Taking dot product of e j 4 on both sides becomes (j rej 2. 2r j 3 ). ej 4 (j rej 4.

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