There are four rods A, B, C and D of same length L but different linear mass density d, 2d, 3d & 4d respectively. These are joined to form a square frame with sides C & D along x & y axis of coordinate axes respectively. Find coordinate of centre of mass of structure. ?

Explanation

To find the coordinates of the center of mass of the square frame formed by the four rods A, B, C, and D, we will follow these steps:

### Step 1: Identify the coordinates of the center of mass for each rod.
- **Rod A**: Positioned along the x-axis from (0, 0) to (L, 0). The center of mass (CM) is at \((\frac{L}{2}, 0)\).
- **Rod B**: Positioned along the y-axis from (0, 0) to (0, L). The center of mass is at \((0, \frac{L}{2})\).
- **Rod C**: Positioned along the x-axis from (0, L) to (L, L). The center of mass is at \((\frac{L}{2}, L)\).
- **Rod D**: Positioned along the y-axis from (L, 0) to (L, L). The center of mass is at \((L, \frac{L}{2})\).

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