The Chi squared distribution
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The Concept of a Centre of Mass
Equations are omitted for technical reasons - download the original pdf
The mass of an object is spread out over a certain volume. For instance, the mass of a cricket ball occupies an approximately spherical shape: [Diagram goes here - download the original to see it.] However, when an object is subject to external forces, the object behaves as if its entire mass were concentrated at a single point called it's centre of mass. In section 6 we learn how to calculate the position of this centre of mass. For an object of uniform density the centre of mass is often found by symmetry - for example, the centre of mass of a sphere is found at it's centre. So for the purposes of calculating the effect of a force on, for example, a cricket ball can be replaced by a single point of the centre of mass. [Diagram goes here - download the original to see it.] This is what is meant by a particle. It is a theoretical object of no size and of a given mass. It is possible that the student has already encountered the concept of a particle when studying projectiles. When studying projectiles we treat them as particles - that is, as objects whose entire mass acts as if concentrated at their centres of mass.
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Contents of
The Chi squared distribution
1 The chi squared Distribution
2 The Concept of a Centre of Mass
3 Centre of Mass of two-dimensional objects
4 Triangular lamina
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