Question

are spherical hollow is made in a light spear of radius R such that its surface touch the outside surface of let's fear and passes through the centre what is the shift in the centre of mass of legs pain due to the whole life

Answer 1

The mass of the sphere we are about to remove is M/8, since it is half the radius R, and its mass is proportion to R cubed.

If the displacement from the center of m is x, we can imagine that we have skewered the lead sphere horizontally through the original center of mass, and it will now have neutral equilibrium before we remove the smaller sphere of lead, with the moments being

(7M/8)x = (M/8)(R/2)

7x = R/2

X = R/14

So the displacement away from the hollow is one fourteenth of the radius R.

Hope that helps,

Answer 2

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