Question

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18) A circular platform is free to rotate in a horizontal
plane
about a
vertical axis pushing through its centre. A tortoise is
sitting
at the edge of the platform Now, the platform is given
angular velocity when the tortoise mones
along a chand of the
platform with a constant velocity- the
constant uelocity, the angular velocity of the
platform will vary with t 2s






with time tas​

Answer 1

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Answer 2

Since, there is no external torque, angular momentum will remain conserved. The momentum will remain conserved. The moment of inertia will first decreases till the tortise moves from

to

and then increases as it moves from

to

and then increases as it moves from

to

. Therefore,

will initially increases and then decrease. Let

be the radius of platform,

the mass of disc and

is the mass of platform. moment of inertia when the tortoise is at

and moment of inertia when the torroise is at

here,

From conservation of angular momentum

Sustituting the values we can see the variation of

is non-linear.