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Position of centre of mass for solid cone is considered one of the most asked concept.
3 Questions around this concept.
Distance of the centre of mass of a solid uniform cone from its vertex is z0. If the radius of its base is R and its height is h then z0 is equal to :
Have a look at the figure of solid cone
Since it is symmetrical about y-axis
So we can say that its and
Now we will calculate its which is given by
So Take a small elemental disc of mass dm of radius r at a vertical distance y from the bottom as shown in the figure.
So
Here
And from similar triangle
So, from bottom O
Or, Centre of Mass of a solid cone will lie at distance from the tip of the cone.
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