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NEET2022Physics-Center of Mass

NEET 2022 Physics Center of Mass MCQ Question

Type: MCQ-numerical-Medium-Class 11

Two objects of mass 10 kg and 20 kg respectively are connected to the two ends of a rigid rod of length 10 m with negligible mass. The distance of the center of mass of the system from the 10 kg mass is:

A

10 m

B

5 m

C

10/3 m

D

20/3 m

Correct Answer

Option D

Detailed Explanation

Chapter: System of Particles and Rotational Motion

Class: 11 Physics Topic: Centre of Mass Difficulty: 🟔 Medium

āœ… Ans: D — 203 m\frac{20}{3}\,m

Take the 10 kg mass as x=0x=0. The 20 kg mass is at x=10 mx=10\,m.

xCM=m1x1+m2x2m1+m2x_{CM}=\frac{m_1x_1+m_2x_2}{m_1+m_2} xCM=10(0)+20(10)10+20=20030=203 mx_{CM}=\frac{10(0)+20(10)}{10+20} =\frac{200}{30} =\boxed{\frac{20}{3}\,m}

šŸ“Œ The centre of mass is closer to the heavier 20 kg mass.

Note: The screenshot marks C = 10/310/3 m, but that is the distance from the 20 kg mass. Since the question asks distance from the 10 kg mass, the correct answer is D = 20/320/3 m.

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