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JEE Main20202 Sep 2020Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A square shaped hole of side l = a 2 is carved out at a distance d = a 2 from the centre ' O ' of a uniform circular disk of radius a. If the distance of the centre of mass of the remaining portion from O is - a x , value of X (to the nearest integer) is :

Correct answer

0

Step-by-step solution

X a = A · X - A · X 1 A - A 1 = πa 2 × 0 - a 2 4 × a 2 πa 2 - a 2 4 = - a 3 / 8 π - 1 4 a 2 = - a 2 ( 4 π - 1 ) = - a 8 π - 2 = - a 23 x = 23

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