mathematical and physical pendulums

line font diagram drawing text brand cartoon sketch circle document presentation logo artwork map mathematical physical pendulums vector compound pendulum oscillator isolated white acceleration amplitude period body chaotic classical mechanics constant damping derivation differential equation dimensions displacement energy equilibrium position fixed support force frequency friction gravity idealized model immobile influence jacobian elliptic function kinetic lagrangian length magnitude mass massless cord moment inertia motion oscillations pivot point potential resistance rod sinusoidal driving small-angle tension time uniform vector velocity weight