Mechanics 2: Centre of Mass

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A-level Maths (M2) Flashcards on Mechanics 2: Centre of Mass, created by declanlarkins on 30/01/2014.
declanlarkins
Flashcards by declanlarkins, updated more than 1 year ago
declanlarkins
Created by declanlarkins almost 11 years ago
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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
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