Mark William
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Exploring Simple Harmonic Motion: Springs, Pendulums, and Energy Dynamics
This PowerPoint covers the basics of Simple Harmonic Motion (SHM), including the motion of a mass attached to a spring and a simple pendulum. It explains the restoring force in a stretched spring (F = -kx) and how the mass oscillates with the equation of motion: m(d²x/dt²) = -kx. The total energy in SHM is the sum of kinetic and potential energy, with potential energy stored in the spring following a parabolic curve (U(x) = ½ kx²). The presentation also explores the simple pendulum and its oscillations, showing that the period of oscillation is independent of mass. Additionally, it discusses the physical pendulum and the equations governing its motion.