CONCEPT MAP

The unit's concept map traces a single chain: Oscillation specialises to Simple Harmonic Motion, defined by $F=-kx$ and the equation $a=-\omega^2y$, with $v=\omega\sqrt{A^2-y^2}$ and $T=2\pi/\omega$. SHM branches into Angular SHM ($\omega=\sqrt{\kappa/I}$) and Linear SHM ($\omega=\sqrt{k/m}$), the latter realised concretely as the simple pendulum ($T=2\pi\sqrt{l/g}$), spring combinations (series $k_s=k_1k_2/(k_1+k_2)$, parallel $k_p=k_1+k_2$), and the U-tube ($T=2\pi\sqrt{l/2g}$). In parallel, SHM feeds an energy branch: $U=\tfrac12kx^2$, $KE=\tfrac12mv^2$, and $TE=\tfrac12kA^2=$ constant, tying force, …