Turning Effect of a Force and Moments

Fundamentals of Turning Forces

• Turning forces, also referred to as moments, cause an object to rotate in a clockwise or anticlockwise direction.
• To achieve a turning effect, two components are required:
  • Effort: The force applied to the object.
  • Pivot: The point or axis around which the force turns.
• Weight often acts as the force ($F$) in turning effect scenarios.
• Standard conversion for mass to weight: $1\,kg = 10\,N$.

The Principle of Moments

• The formula for calculating a moment is: $\text{Moment} = \text{Force} \times \text{Distance}$.
• Distance ($D$ or $d$) must be measured in meters ($m$).
• For an object to be in equilibrium (balanced), the clockwise moment must equal the anticlockwise moment: $F_1 d_1 = F_2 d_2$.

Calculation Example

• In a balanced system with values $F_1 = 1800\,N$, $F_2 = 1500\,N$, and $d_1 = 1.5\,m$, the second distance ($d_2$) is calculated as follows:
  • $1500\,N \times 1.5\,m = 1800\,N \times d_2$
  • $d_2 = \frac{1500 \times 1.5}{1800}$
  • $d_2 = 1.25\,m$