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JEE Main 20207 JanuaryMorning Shift
Exam
JEE Main
Year
2020
Date
7 January
Shift
Morning Shift
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2020 · 7 January · Morning Shift · Physics · Center of Mass, Momentum and Collision

Three point particles of masses 1.0kg, 1.5kg and 2.5kg are placed...

Three point particles of masses 1.0kg,1.5kg1.0kg, 1.5kg and 2.5kg2.5kg are placed at three corners of a right angle triangle of sides 4.0cm,3.0cm4.0cm, 3.0cm and 5.0cm5.0cm as shown in the figure. The centre of mass of the system is at a point:
Three point particles of masses 1.0kg, 1.5kg and 2.5kg are placed at three corners of a right angle triangle of sides

Options

  1. A0.6cm0.6cm right and 2.0cm2.0cm above 1kg1kg mass.
  2. B1.5cm1.5cm right and 1.2cm1.2cm above 1kg1kg mass.
  3. C2.0cm2.0cm right and 0.9cm0.9cm above 1kg1kg mass.
  4. D0.9cm0.9cm right and 2.0cm2.0cm above 1kg1kg mass.

Correct answer

D. 0.9cm0.9cm right and 2.0cm2.0cm above 1kg1kg mass.

Step-by-step solution

Take 1kg1kg mass at origin
Three point particles of masses 1.0kg, 1.5kg and 2.5kg are placed at three corners of a right angle triangle of sides Three point particles of masses 1.0kg, 1.5kg and 2.5kg are placed at three corners of a right angle triangle of sides

Xcm=1×0+1.5×3+2.5×05=0.9cm{X}_{cm} = \dfrac{1 \times 0 + 1.5 \times 3 + 2.5 \times 0}{5} = 0.9cm
Ycm=1×0+1.5×0+2.5×45=2cm{Y}_{cm} = \dfrac{1 \times 0 + 1.5 \times 0 + 2.5 \times 4}{5} = 2cm

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