Question

A uniform metal disc of radius r is taken out of its disc of diameter r/2 is cut off from the end. the centre of mass of remaining part will be

Answer 1

let the center of mass be at origin with disc in x-y plane
so when disc of R/2 is removed
the center of mass is

so the center of mass is at a distance of R/6 from center on side opposite to portion where portion was taken

Answer 2

Explanation:

Density is uniform, so we can use geometrical method.

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