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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीA uniform L-shaped lamina is made of three identical squares of side \( 1\text{ m} \), each of mass \( 1\text{ kg} \). The individual centres of mass of the three squares are at \( C_1(0.5, 0.5) \), \( C_2(1.5, 0.5) \), and \( C_3(0.5, 1.5) \). The coordinates \( (X, Y) \) of the centre of mass of the entire L-shaped lamina are:
Correct answer · Option 2
\( (\frac{5}{6}\text{ m}, \frac{5}{6}\text{ m}) \)
Explanation
\( X = \frac{1(0.5) + 1(1.5) + 1(0.5)}{3} = \frac{2.5}{3} = \frac{5}{6}\text{ m} \), and by symmetry \( Y = \frac{5}{6}\text{ m} \).
