from a uniform circular disc of mass M and radius R/2is removed in such a way that borh have comman tangent. find the distance if centre of mass of remaining part from the centre of original disc
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The distance form the centre of mass is R/6.
Explanation:
Let the mass of the disc = M
Therefore, the mass of the removed part of disc, m = (M/R^2) x (R/2)^2 = M/4
Now the center of gravity of the resulting flat body.
R= [M x 0 – (M/4) x (R/2)] / (M-M/4)
= - (MR/8) / (3M/4)
= - R/6
Negative sign shows the opposite direction of center of gravity which lies at a distance of R/6 form the original centre of mass.
Hence the distance form the centre of mass is R/6.
Centre of mass and center of gravity ?
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