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NTA Abhyas JEE Main2020PhysicsOscillationsPractice

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.

Options

  1. Aπ 3
  2. Bπ 6
  3. Ccos -1 3 4
  4. Dπ 2

Correct answer

C. cos -1 3 4

Step-by-step solution

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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