Physics

Problem

Which of the following differential equations represents the displacement

s(t)

of a simple pendulum bob along its arc for small–angle oscillations? a)

\dfrac{d^{2}s}{dt^{2}} - \dfrac{g}{L}s = 0

\dfrac{d^{2}s}{dt^{2}} + \dfrac{g}{L^{2}}\,s = 0

\dfrac{d^{2}s}{dt^{2}} + \dfrac{g}{L}\,s = 0

\dfrac{d^{2}s}{dt^{2}} + \pi^{2}\,\dfrac{g}{L}\,s = 0