If the angular frequency of small oscillations of a thin uniform vertical rod of mass m and length λ hinged at the point O (Fig.) is 
, then find n. The force constant for each spring is K/2 and take K = 
. The springs are of negligible mass. (g = 10 m/s 2 )
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(75)
For small Angular displacement
Restoring torque about point
(mg 
sin θ ) + (K λ sin θ ) λ = 
α , (for small θ sin θ ≈ θ )
α = 
⇒ α = 
θ = – ω 2 θ
So angular speed ω = 
ω = 
= 
∴ N = 75
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