Question
A thin uniform flat plate of mass 4-5 kg is in the form of L shape lamina as shown in figure.
Find the position of center of mass.

Solution
As shown in the figure below, the lamina consists of three squares, each of side 2 unit.
Therefore, the coordinates of the centre of mass of three squares are C1 ↔ (1,1), C2 ↔ (3,1) and C3 ↔ (1,3).
Let m be the mass of each square.
Therefore, coordinates of centre of mass of lamina are,
Therefore, the coordinates of the centre of mass of three squares are C1 ↔ (1,1), C2 ↔ (3,1) and C3 ↔ (1,3).
Let m be the mass of each square.
Therefore, coordinates of centre of mass of lamina are,
