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3 Questions around this concept.
Have a look at the figure of semicircular ring.
Since it is symmetrical about y-axis on both sides of the origin
So we can say that its
And its as z-coordinate is zero for all particles of semicircular ring.
Now, we will calculate its which is given by
So , Take a small elemental arc of mass dm at an angle from the x-direction.
Its angular width d
If the radius of the ring is R then its y coordinate will be Rsin
So,
As,
So,
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