a circular platform is revolving with uniform angular speed (a) how will its speed change if a mass (M) is placed at the edge of the platform? (b) how will the speed be affected if the mass is shifted towards the centre of the platform?
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Explanation:
When no external force acts on a body its angular moment remains conserved.
From law of conservation of angular momentum, we have
J=lω=constant
where l is moment of inertia of the body and ω is angular velocity.
Also l=
2
1
MR
2
(for disc) where M is mass and R is radius of disc.
J=
2
1
MR
2
ω= constant
Since, man moves towards the centre of the disc, distance of mass distribution R decreases hence, ω increases.
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