Fig. shown a uniform square plate from identical squares at the corners can be removed. (a) Where is the centre of mass of the plate originally ? (b) Where is it after square 1 is removed ?
(c ) where is it after squares 1 and 2 are removed ? (d) Where is `c.m` after squares `1, 2, 3,` are removed ?
(f) Where is `c.m` after all the four squares are removed ? Answer in terms of quadrants and axes.

Explanation

(a) Originally, centre of mass is at the centre O.
(b) After square 1 is removed, `c.m` lies in quardent `3`.
(c ) After squares 1 and 2 are removed c.m lies on Y-axis below O.
(d) When squares 1 and 3 are removed, c.m will remain at O.
(e) When squares `1, 2, 3,` are removed, c.m will shift to fouth quadrant.
(f) When all the four squares are removed, c.m will shift back to O`.