A uniform disc of mass 300 kg is rotating freely about a vertical axis through its centre at a constant angular velocity ω ° . A boy of mass 30 kg starts from the centre and moves along a radius to the edge of the disc. Angular velocity of the disc will now become

Question

A uniform disc of mass 300 kg is rotating freely about a vertical axis through its centre at a constant angular velocity ω ° . A boy of mass 30 kg starts from the centre and moves along a radius to the edge of the disc. Angular velocity of the disc will now become, ω 0 6, ω 0 5, 4 ω 0 5, 5 ω 0 6

MARKS App · Accepted Answer

As Σ τ = 0 , angular momentum remains conseved: ∴ L = 0 + 300 R 2 2 ω 0 = 300 R 2 2 + 30 R 2 ω ⇒ 150 ω 0 = 180 ω ⇒ ω = 5 6 ω 0

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