Which of the following differential equations represents the displacement of a simple…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal 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

(b)

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

(c)

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

(d)

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