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lecture+notes+7 - 14:440:222 Dynamics (Lecture Note #7)...

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14:440:222 Dynamics (Lecture Note #7) Instructor: Prof. Peng Song Rutgers University Today’s Lecture • Kinetics of particle systems in n-t coordinates
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Applications Normal-Tangential Coordinates When a particle moves along a curved path, it may be more convenient to write the equation of motion in terms of normal and tangential coordinates. The normal direction (n) always points toward the path’s center of curvature. In a circle, the center of curvature is the center of the circle. The tangential direction (t) is tangent to the path, usually set as positive in the direction of motion of the particle.
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Equation of Motion This vector equation will be satisfied provided the individual components on each side of the equation are equal, resulting in the two scalar equations: F t = ma t and F n = ma n . Here F t & F n are the sums of the force components acting in Since the equation of motion is a
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This document was uploaded on 10/31/2011 for the course ENG MECH 232 at Rutgers.

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lecture+notes+7 - 14:440:222 Dynamics (Lecture Note #7)...

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