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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Answer
9 m
Step 1: Identify the forces and their distances from the pivot. For a beam to be balanced, the sum of the clockwise moments about the pivot must equal the sum of the anticlockwise moments about the pivot. • The force on the left side is at a distance of from the pivot. This creates an anticlockwise moment. • The force on the right side is at an unknown distance from the pivot. This creates a clockwise moment.
Step 2: Write the equation for the principle of moments. The moment is calculated as Force Distance. For balance:
Step 3: Substitute the given values into the equation.
Step 4: Solve for .
The distance is .
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Identify the forces and their distances from the pivot. For a beam to be balanced, the sum of the clockwise moments about the pivot must equal the sum of the anticlockwise moments about the pivot.
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.