AIIMS2018Physics-Mechanics

AIIMS 2018 Physics Center of Mass MCQ Question

Type: MCQ-conceptual-Medium-Class 11

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

Question diagram
A

2aπ\frac{2a}{\pi}

B

4a3π\frac{4a}{3\pi}

C

aπ\frac{a}{\pi}

D

2a3π\frac{2a}{3\pi}

Correct Answer

Option B

Detailed Explanation

The center of mass of a half disk is located at a distance of 4a3π\frac{4a}{3\pi} from the flat edge, where aa is the radius of the half disk. This result can be derived using integration techniques that account for the uniform distribution of mass in the half disk. Since options A, C, and D are not provided with any relevant information or calculations, they cannot be considered correct in this context. Understanding the center of mass is crucial in physics, as it helps in analyzing the motion and stability of objects.

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