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A small insect having mass m is in rest at one end of a horizontal platform placed inside a circular cage as shown in figure. Circular cage is pivoted about its centre and cage's inner surface is smooth. Now insect starts its motion on platform such that platform and cage is in rest. Radius of cage is RTime taken by insect to move from A to B on platform isSpeed of insect when it passes midpoint C is

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answer is [OBJECT OBJECT], [OBJECT OBJECT].

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Detailed Solution

Considering rotational equilibrium of rod :Nx=fh⇒f=Nhx=mghxFor insectma=−f⇒ma=−mghx⇒a=−ghx Represents SHM with T=2πhg∴ Time to move from A to B=T2=πhg Velocity of midpoint =Aω=R2−h2gh
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A small insect having mass m is in rest at one end of a horizontal platform placed inside a circular cage as shown in figure. Circular cage is pivoted about its centre and cage's inner surface is smooth. Now insect starts its motion on platform such that platform and cage is in rest. Radius of cage is RTime taken by insect to move from A to B on platform isSpeed of insect when it passes midpoint C is