SHMHard

Question

The distance of hinge point of a compound pendulum from its centre of gravity is l, the time period of oscillation relative  to this  point is T. If g = π2, the relation between l and T will be : - 

Options

A.+ k2 = 0
B.+ k2 = 0
C.- k2 = 0
D. - k2 = 0

Solution


τ = - mgsin θl ⇒ Iα = - mglsin θ
⇒  m(l2 + k2)α = - mglθ(sin ~ θ)
⇒ α = - = - ω2θ ⇒ ω =
⇒ T = = [g = π2]
⇒ l2 - l + k2 = 0

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