This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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To calculate the force F: Step 1: Identify the pivot and the forces acting on the meter rule. The meter rule is uniform and balanced at its center, so the pivot is at the mark. A force of acts at the mark. Its distance from the pivot is . This creates an anticlockwise moment. An unknown force F acts at the mark. Its distance from the pivot is . This creates a clockwise moment.
Step 2: Apply the principle of moments for equilibrium. For the rule to be in equilibrium, the sum of clockwise moments must equal the sum of anticlockwise moments about the pivot.
Step 3: Solve for F.
To locate the image position using a ray diagram for an object placed in front of a concave mirror between C and F:
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6. To calculate the force F: Step 1: Identify the pivot and the forces acting on the meter rule.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.