Springs, pendulums, and oscillation
Simple Harmonic Motion (SHM) occurs when a restoring force is proportional to displacement: F = -kx. The period depends only on mass and spring constant, not on amplitude — a key insight that confuses many students. Energy constantly transforms between kinetic (maximum at equilibrium) and potential (maximum at extreme positions), with total mechanical energy conserved in the absence of damping.
If you double the amplitude of a pendulum, does it take longer to swing?
Most people guess yes, but the answer is no — period is completely independent of amplitude in simple harmonic motion.