SHMMedium
Question
A rod of mass M and length L is hinged at its one end and carries a block of mass m at its lower end. A spring of force constant k1 is installed at distance a from the hinge and another of force constant k2 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
Options
A.
B.
C.
D.
Solution
For small angular displacement (θ)
Net torque on body = Iα
= (k1a sinθ)a + (k2b sinθ)b =
α
For small θ ⇒ a =
θ
⇒ frequency =
Net torque on body = Iα
= (k1a sinθ)a + (k2b sinθ)b =
αFor small θ ⇒ a =
θ⇒ frequency =
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