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NEET 2022
Exam
NEET
Year
2022
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NEET 2022 · Physics · Center of Mass, Momentum and Collision

Two objects of mass 10kg and 20kg respectively are connected to the...

Two objects of mass 10kg10kg and 20kg20kg respectively are connected to the two ends of a rigid rod of length 10m10m with negligible mass. The distance of the center of mass of the system from the 10kg10kg mass is:

Options

  1. A203m\dfrac{20}{3}m
  2. B10m10m
  3. C5m5m
  4. D103m\dfrac{10}{3}m

Correct answer

A. 203m\dfrac{20}{3}m

Step-by-step solution

Let's consider the location of 10kg10kg mass to be origin.
Then location of COM will be,

xcom=m1x1+m2x2m1+m2=10×0+20×1010+20⇒xcom=203m{x}_{com} = \dfrac{{m}_{1}{x}_{1} + {m}_{2}{x}_{2}}{{m}_{1} + {m}_{2}} = \dfrac{10 \times 0 + 20 \times 10}{10 + 20} ⇒ {x}_{com} = \dfrac{20}{3}m

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