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Journey of insect

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A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc:
(1) continuously decreases (2) continuously increases
(3) first increases and then decreases (4) remains unchanged

I think it should be continuosly decreases as in this we have to conserve angular momentum
And insect moves its moment of inertia increases so angular speed decreases .

But the answer is given as option 3

asked Mar 2, 2017 in Physics Problems by koolman (4,286 points)
reshown May 16 by sammy gerbil
Why do you think conserving angular momentum will make the angular velocity decrease?

Also, try reading the question again. I also thought the answer must be wrong until I realised the insect does not stop when it reaches the centre.

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