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.

Answer

(i) at O, (ii) diagonally from O to 3 (iii) along OY', (iv) at O (v) diagonally from O to 4 (vi) at O

Explanation

(i) The centre of mass remains at O as the excluded masses are symmetrically placed. (ii) CM shifts from 0 to 3 diagonally (iii) CM shifts along OY (iv) CM does not shift. (v) CM shifts diagonally from 0 to 4 (vi) CM doesnot shift