A meter-stick is pivoted at its 50 cm mark however doesn’t balance because of non-uniformities in its material which cause its center of gravity to be moved from its geometrical center. Though, when weights of 150 g and 200 g are positioned at the 10 cm and 75 cm marks, correspondingly, balance is obtained. The weights are then exchanged and balance is again obtained by shifting the pivot point to the 43 cm mark. Determine the mass of the meter-stick and the position of its center of gravity.