Question

Find the centre of mass of a uniform disc of radius 'a' from which a circular section of radius 'b' has been removed . The centre of the hole is at a distance c from the centre of the disc

Answer 1

Answer: The centre of mass of a uniform disc of radius 'a' from which a circular section of radius 'b' has been removed is (Mc/ M-m)

Explanation:

We consconsider the mass of the disc at the centre on the general term.

Now, the circular section of radius 'b' has been removed so a hollow space is created at c-b distance from disc's centre. Therefore, Oo'=C and -m is at o'.

Let distance of X is CM then

X= ((M×0) -(m×c)) /M-m

X= (Mc/ M-m)