For a simple pendulum performing small oscillations

PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations

Problem

For a simple pendulum performing small oscillations, the displacement

x(t)

satisfies the equation

4\,\frac{d^{2}x}{dt^{2}} + 100\,x = 0.

Determine the length

L

of the pendulum. Take

g = 9.8\,\text{m s}^{-2}