Doubt from rotation mechanics

Question no 10 i am getting angular velocity as 1.25 rad/s but i am getting iar as 12cm which is not matching with any options

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Actually i had got 12 cm from topmost point P which is 8 cm from point Q

Question 8

it is a?

A and D both are correct

Send working too

angular velovity= perpendicular relative velocity/distance between them. hence a.

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Can anyone tell me the working for derivation of M.I of 1st,2nd,3rd and fourth inertia results

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Please reupload i am not able to see it clearly

There is a mistake i dont need derivation of rod case rest others i need how to derive

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For MI of hollow cylinder , solid cylinder, rod

MI of solid sphere and hollow sphere

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