A rigid uniform rod AB of length L and mass m is hinged

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A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L/3, CB = 2L/3. Ends A and B are supported by springs of spring constant k. The natural frequency of the system is given by

Correct Option: D

Kθ

L

²

+ Kθ

2L

²

+

mL²

θ̇̇ = 0

3

3

9

⇒		mL²		θ̇̇ +		5kL²		θ = 0
		9				9

θ̇̇ +		5k		θ = 0
		m

ω_n =