A simple pendulum of length ℓ is tilted at an angle α and imparted an initial velocity v1 towards mean position. Initial phase of bob is given as (A1 is linear amplitude andassume that maximum angular displacement of bob is very small)
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a
sin−1ℓαA1
b
2π−sin−1ℓαA1
c
π−sin−1ℓαA1
d
π−cos−1ℓαA1
answer is B.
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Detailed Solution
In phasor diagram, sinθ=ℓαA1∴ Initial phase ϕ=2π−θ=2π−sin−1ℓαA1