Question:

What will be the position of centre of mass of a half disc of uniform mass density as shown

Updated On: Aug 1, 2022
  • $\frac{2a}{\pi}$
  • $\frac{4a}{3\pi}$
  • $\frac{a}{\pi}$
  • $\frac{2a}{3\pi}$
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The Correct Option is B

Solution and Explanation

Fact that C.O.M. of hait disk is at distance of $\frac{4a}{3 \pi} $ from center.
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Concepts Used:

System of Particles and Rotational Motion

  1. The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
  2. The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
  3. The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.