Mechanics 2: Centre of Mass

Question	Answer
The centre of mass of a triangle with vertices at (x\(_1\), y\(_1\)), (x\(_2\), y\(_2\)) and (x\(_3\), y\(_3\))	(\(\frac{x_1+x_2+x_3}{3}\) , \(\frac{y_1+y_2+y_3}{3}\))
The centre of mass of a triangle lies ... of the way along a median?	\(\frac{2}{3}\)
In right-angled triangles the centre of mass is ... of the way from the right angle in both directions?	\(\frac{1}{3}\)
The centre of mass is...	The point that the weight of an object can be thought of as acting at.
The centre of mass of an object will lie on a line of ... of a shape	Symmetry
To work out the centre of mass of composite bodies...	1) Find the centre of mass of each part 2) Take moments around a point
A shape will topple if...	The centre of mass is no longer above the base of the bottom edge
If a lamina is hung freely from a pivot the centre of mass will be...	Directly below the pivot

Resource summary

	Created by declanlarkins about 10 years ago