Question

uniform square sheet has side of length 2 hour a circular sheet of maximum possible area removed from a quadrant of square sheet the distance of centre of mass of remaining position from centre of original seat is ​

Answer 1

Explanation:

To calculate the distance between the centre of masses in both cases, we consider the circular cut-out section as a separate mass and the rest of the square as a separate second mass. For ease in calculation, assume origin at the centre.

Formula used:

CMx=m1x1+m2x2+...+mnxnm1+m2+...+mn

where, CMx is the centre of mass along the X-axis of a body (similar for Y-axis)

miis the mass of ith point mass of the distributed system.

xi is the distance of ith point mass of the distributed system.