Question:
What is the distance of centre of mass of a half ring from centre if the ring has radius = 0.5 m. [XI]
What is the distance of centre of mass of a half ring from centre if the ring has radius = 0.5 m. [XI]
Updated On: Jul 20, 2024
- $\frac{1}{\pi}$
- $\frac{1}{ 3\pi}$
- $\frac{2}{3\pi}$
- $\frac{1}{2 \pi}$
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The Correct Option is A
Solution and Explanation
Distance of center of mass of half ring from center
$y = \frac{2R}{\pi} = \frac{2 \times 0.5}{\pi} = \frac{1}{\pi}$
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Concepts Used:
Center of Mass
The center of mass of a body or system of a particle is defined as a point where the whole of the mass of the body or all the masses of a set of particles appeared to be concentrated.
The formula for the Centre of Mass:
Center of Gravity
The imaginary point through which on an object or a system, the force of Gravity is acted upon is known as the Centre of Gravity of that system. Usually, it is assumed while doing mechanical problems that the gravitational field is uniform which means that the Centre of Gravity and the Centre of Mass is at the same position.