Summary -Important Principles

In a Nut Shell – In elementary dynamics you study the motion of particles, bodies, and interconnected bodies in one plane (typically the x-y plane). Included is the characterization of the motion itself, kinematics, and the relationships between the forces and moments acting on a body (or bodies) and the resulting planar motion, kinetics. Motion must be referred to a “frame of reference”, preferably an inertial frame of reference.

Dynamics

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Kinematics	Kinetics
Relative Velocity	Euler’s 1^st Law
Relative Acceleration	Euler’s 2^nd Law

Kinematics Kinetics

vC = vA + ω x rAC Relative Velocity Equation	Σ F = m aC Euler’s First Law
aC = aA + α x rAC - ω^2 rAC Relative Acceleration Equation “Two points in same Body”	Σ MC = I^C α Euler’s Second Law – Mass Center Form Σ MP = I^P α + ( rPC x m aP )z Σ MP = I^C α + ( rPC x m aC )z Euler’s Second Law – Form about Point P * First step is to construct a free body diagram.

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