Centre of Mass for Point Masses and Laminas (AQA A-Level Further Maths): Flashcards

Point where total weight of system effectively acts

Weighted average position of all masses

$M = \sum_{i=1}^{n} m_i$

$\bar{x} = \frac{\sum m_i x_i}{\sum m_i}$

x-coordinate $\bar{x}$

y-coordinate $\bar{y}$

$\bar{x} = \frac{\sum m_i x_i}{\sum m_i}$

$\bar{y} = \frac{\sum m_i y_i}{\sum m_i}$

Suspension point to centre of mass line is vertical

Create couple causing rotation