Tipping Force Calculator

Formula

The formula to calculate the Tipping Force (TF) is:

\[ TF = \frac{m \cdot g \cdot \cos(x) \cdot b}{a + b} \]

Where:

\(TF\) is the Tipping Force (N)
\(m\) is the mass of the object (kg)
\(g\) is the acceleration due to gravity (9.81 m/s²)
\(x\) is the angle of the lever being applied to the object (degrees)
\(b\) is the length of the lever arm below the center of mass (m)
\(a\) is the length of the lever arm above the center of mass (m)

Tipping Force Definition

A tipping force is a measure of the total amount of force it would require if when applied to a lever, it would cause an object to tip over, i.e. become unstable.

Example Problem

Let's assume the following values:

Mass of the Object (m) = 50 kg
Angle of the Lever (x) = 30 degrees
Length of Lever Arm Below Center of Mass (b) = 2 m
Length of Lever Arm Above Center of Mass (a) = 1 m

Using the formula:

\[ TF = \frac{50 \cdot 9.81 \cdot \cos(30^\circ) \cdot 2}{1 + 2} = \frac{50 \cdot 9.81 \cdot 0.866 \cdot 2}{3} \approx 283.2 \, \text{N} \]

The Tipping Force is approximately 283.2 N.