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The moment of a force of 50 N about a po...

The moment of a force of 50 N about a point is 5 Nm. Find the perpendicular distance of force from that point.

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To solve the problem, we need to find the perpendicular distance of a force from a point given the moment (torque) of the force and the magnitude of the force itself. ### Step-by-Step Solution: 1. **Understand the relationship**: The moment (torque) of a force about a point is given by the formula: \[ \text{Moment} = \text{Force} \times \text{Perpendicular Distance} \] This can be expressed as: \[ \tau = F \times r \] where \( \tau \) is the moment (in Nm), \( F \) is the force (in N), and \( r \) is the perpendicular distance (in m). 2. **Identify the given values**: From the problem, we know: - Moment (τ) = 5 Nm - Force (F) = 50 N 3. **Rearrange the formula to solve for r**: We need to find the perpendicular distance \( r \). Rearranging the formula gives us: \[ r = \frac{\tau}{F} \] 4. **Substitute the known values into the equation**: \[ r = \frac{5 \, \text{Nm}}{50 \, \text{N}} \] 5. **Calculate the value of r**: \[ r = \frac{5}{50} = 0.1 \, \text{m} \] 6. **Conclusion**: The perpendicular distance of the force from that point is: \[ r = 0.1 \, \text{meters} \] ### Final Answer: The perpendicular distance of the force from that point is **0.1 meters**.
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