A rod of mass M and length L is hinged at its one end and carries a particle of mass m at its lower end. A spring of force constant k 1 is installed at distance a from the hinge and another of force constant k 2 at a distance b as shown in the figure. If the whole arrangement rests on a smooth horizontal table top, the frequency of vibration is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
For small angular displacement (θ)
Net torque on body = Iα
= (k 1 a sinθ)a + (k 2 b sinθ)b = 
α
For small θ ⇒ α = 
θ
⇒ frequency = 
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