Answer to Question #132795 in Mechanics | Relativity for Viccy

Question

Write down centre of mass semi circular ring.

Answer 1

solution

consider a semicircular ring of radius R which is uniform.a uniform semicircular ring is symmetric about Y-axis so its its x coordinate of center of mass will be zero .

diagram for this question can be drawn as

y coordinate of the semicircular ring can be written as

$y=\frac{2R}{\pi}$

therefore center of mass is at $(0,\frac{2R}{\pi})$