Question
Two exactly identical pendulums are oscillating with amplitudes 2cm and 6cm. Calculate the ratio of their energies of oscillation.

Answer

Total energy $=\frac{1}{2}\text{m}\omega^2\text{A}^2,$ since amplitudes are 2cm and 6cm, the ratio is 1 : 3.$\therefore$ Ratio of total energy = 1 : 9

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