A simple pendulum of length $l$ and mass $m$ of the bob is suspended in a car that is travelling with a constant speed $v$ around a circular path of radius $R$. If the pendulum undergoes oscillations with small amplitude about its equilibrium position, the frequency of its oscillations will be
A simple pendulum of length $l$ and mass $m$ of the bob is suspended in a car that is travelling with a constant speed $v$ around a circular path of radius $R$. If the pendulum undergoes oscillations with small amplitude about its equilibrium position, the frequency of its oscillations will be
- A
$\frac{1}{{2\pi }}\,\sqrt {\frac{g}{l}} $
- B
$2\pi \,\sqrt {\frac{l}{g}} $
- C
$\frac{1}{{2\pi }}\,\sqrt {\frac{{\left( {{g^2} + \frac{{{v^4}}}{{{R^2}}}} \right)}}{l}} $
- D
$\frac{1}{{2\pi }}\,\sqrt {\frac{{{{\left( {{g^2} + \frac{{{v^4}}}{{{R^2}}}} \right)}^{\frac{1}{2}}}}}{l}} $
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