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The image provided contains a physics problem regarding equilibrium and moments, specifically involving a statue placed on two identical balances. Here’s a summary of the problem and questions:

### Problem Context
- A group of students placed a statue on two identical balances (X and Y), positioned on smooth planes, with horizontal forces acting on them.
- Key measurements:
  - The reading on balance X: \(250 \, \text{N}\)
  - The reading on balance Y: \(150 \, \text{N}\)
- The goal is to find various properties of the statue, such as its weight, moments, and distances related to equilibrium and center of gravity.

### Questions
1. **Physical Quantity in Graph (a)**: The graph’s gradient represents a physical quantity related to force or moments.
2. **Weight of the Statue (b-ii)**: Calculate the total weight \( W \) of the statue.
3. **Moment of Weight (b-iii)**: Determine the moment of the weight \( W \) of the statue around a specific point \( A \) in terms of the distance \( d \) to the center of gravity \( G \).
4. **Reaction Forces (b-iv)**: Find the reaction forces through points \( A \) and \( B \).
5. **Balancing Moment (b-vi)**: Determine the distance \( d \) by equating anti-clockwise and clockwise moments about point \( A \).

Would you like detailed step-by-step solutions to each part? Here are some possible follow-up questions:

1. How do you calculate the weight of an object when given multiple force measurements?
2. What principles are involved in finding the center of gravity using moment calculations?
3. How is the concept of equilibrium applied in determining reaction forces?
4. Why are moments important in determining distances in mechanical systems?
5. What assumptions are made when using balances on smooth planes?

**Tip:** Remember, moments are calculated by multiplying force and distance from the pivot point.

Given the context of equilibrium and moments with a statue placed on two identical balances, solve the following questions:
1. What physical quantity is represented by the gradient of the given graph?
2. Calculate the weight (W) of the statue.
3. Determine the moment of the weight (W) around point A in terms of distance d to the center of gravity G.
4. Find the reaction forces through points A and B.
5. Determine the distance d by equating anti-clockwise and clockwise moments around point A.

Solve a statics problem involving a statue placed on two balances, focusing on equilibrium principles, calculating weight, reaction forces, and moments around a pivot point. This includes using moment formulas and the principle of equilibrium, suitable for students in Grades 11-12.

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