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Question

If a system is displaced from its equilibrium position and released, it moves according to the equation
¨θ=I2klθ
where I, k and l are constants. It will oscillate with a frequency:
  1. I2kl
  2. 12πklI2
  3. 2πklI2
  4. 12πI2kl

A
I2kl
B
12πklI2
C
2πklI2
D
12πI2kl
Solution
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Comparing the equation, d2xdt=ω2x with d2θdt=I2klθ, we find that ω=I2kl
Now frequency =1T=ω2π=12π×I2kl. Hence, option C is correct option.


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