An ideal pendulum was oscillating with an angular amplitude θ = π / 3 inside a stationary elevator. When the pendulum was passing through equilibrium position, the lift suddenly starts moving upward with an acceleration a = g . Find the new angular amplitude of the oscillation.

Question

An ideal pendulum was oscillating with an angular amplitude θ = π / 3 inside a stationary elevator. When the pendulum was passing through equilibrium position, the lift suddenly starts moving upward with an acceleration a = g . Find the new angular amplitude of the oscillation., π 3, π 6, cos -1 3 4, π 2

MARKS App · Accepted Answer

1 - cos θ ′ = 1 2 1 - cos θ cos θ ′ = 1 2 + 1 2 cos θ ⇒ θ ′ = cos -1 1 + cos θ 2 θ ′ = cos -1 1 + cos π / 3 2 = cos -1 1 + 1 / 2 2 = cos -1 3 4

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