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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीMatch List-I with List-II: List-I (Geometric Body of Uniform Density) List-II (Location of Centre of Mass) A Homogeneous thin rod I Centre of the circular ring (in empty space) B Homogeneous thin circular ring II Midpoint / geometric centre of the rod C Homogeneous triangular lamina III Concurrence of medians (Centroid) D Homogeneous L-shaped lamina of side length 2m formed by 3 unit squares IV Point on the diagonal line of symmetry at distance \( \frac{5\sqrt{2}}{6}\text{ m} \) from origin Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I (Geometric Body of Uniform Density) | List-II (Location of Centre of Mass) | ||
|---|---|---|---|
| A | Homogeneous thin rod | I | Centre of the circular ring (in empty space) |
| B | Homogeneous thin circular ring | II | Midpoint / geometric centre of the rod |
| C | Homogeneous triangular lamina | III | Concurrence of medians (Centroid) |
| D | Homogeneous L-shaped lamina of side length 2m formed by 3 unit squares | IV | Point on the diagonal line of symmetry at distance \( \frac{5\sqrt{2}}{6}\text{ m} \) from origin |
Choose the correct answer from the options given below:
Correct answer · Option 1
A-(II), B-(I), C-(III), D-(IV)
Explanation
Thin rod CM is at its geometric midpoint (A-II). Thin circular ring CM is at its centre outside material (B-I). Triangular lamina CM is at centroid (C-III). L-shaped lamina CM is at (5/6, 5/6), distance 5*sqrt(2)/6 from origin (D-IV).
