Centres of Mass of Plane Figures

?
How to find centre of mass of a system of n particles?
Σmr = ř Σm
1 of 8
Where is the centre of mass of a uniform circular lamina?
Centre of the circle
2 of 8
Where is the centre of mass of a uniform rectangular lamina?
Centre of the rectangle
3 of 8
Where is the centre of mass of a triangular lamina?
At the intersection of the medians (lines through centre of each side)
4 of 8
How to work out centre of mass of a triangular lamina?
[(x1 + x2 + x3)/3] , [(y1 + y2 + y3)/3]
5 of 8
Where is the centre of mass of a uniform sector of a circular lamina?
On line of symmetry, (2rSinα)/3α from centre, where α is the angle between radius and axis of symmetry
6 of 8
Where is the centre of mass of a uniform circular arc?
On the axis of symmetry if the full sector was drawn, (rSinα)/α from the centre of circle, where α is the angle between radius and axis of symmetry
7 of 8
Where is the centre of mass of a uniform rod?
Middle of the rod, unless the rod is a circular arc
8 of 8

Other cards in this set

Card 2

Front

Where is the centre of mass of a uniform circular lamina?

Back

Centre of the circle

Card 3

Front

Where is the centre of mass of a uniform rectangular lamina?

Back

Preview of the front of card 3

Card 4

Front

Where is the centre of mass of a triangular lamina?

Back

Preview of the front of card 4

Card 5

Front

How to work out centre of mass of a triangular lamina?

Back

Preview of the front of card 5
View more cards

Comments

No comments have yet been made

Similar Further Maths resources:

See all Further Maths resources »See all Centres of Mass of Plane Figures resources »