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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NEET 2020 · Physics · Center of Mass, Momentum and Collision

Two particles of mass 5kg and 10kg respectively are attached to the...

Two particles of mass 5kg5kg and 10kg10kg respectively are attached to the two ends of a rigid rod of length 1m1m with negligible mass. The centre of mass of the system from the 5kg5kg particle is nearly at a distance of:Two particles of mass 5kg and 10kg respectively are attached to the two ends of a rigid rod of length 1m with

Options

  1. A50cm50cm
  2. B67cm67cm
  3. C80cm80cm
  4. D33cm33cm

Correct answer

B. 67cm67cm

Step-by-step solution

Two particles of mass 5kg and 10kg respectively are attached to the two ends of a rigid rod of length 1m with

mr=constant⇒r∝1mmr = constant ⇒ r ∝ \dfrac{1}{m}

r1r2=m2m1=105=21\dfrac{{r}_{1}}{{r}_{2}} = \dfrac{{m}_{2}}{{m}_{1}} = \dfrac{10}{5} = \dfrac{2}{1}

r1=23r=23×100m=67cm{r}_{1} = \dfrac{2}{3}r = \dfrac{2}{3} \times 100m = 67cm

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