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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीIn an L-shaped uniform lamina formed by three identical squares of side length \( b = 2\text{ m} \) as oriented in Fig. 6.11 (with bottom-left square at origin having vertices from \( (0,0) \) to \( (2,2) \)), the coordinate of the centre of mass is:
Correct answer · Option B
\( (\frac{5}{3}\text{ m}, \frac{5}{3}\text{ m}) \)
Explanation
For squares of side \( b \), individual centres are \( (b/2, b/2) \), \( (3b/2, b/2) \), and \( (b/2, 3b/2) \). \( X_{\text{cm}} = Y_{\text{cm}} = \frac{1}{3}(\frac{b}{2} + \frac{3b}{2} + \frac{b}{2}) = \frac{5b}{6} \). For \( b = 2\text{ m} \), \( X_{\text{cm}} = Y_{\text{cm}} = \frac{5(2)}{6} = \frac{5}{3}\text{ m} \).
