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

NTA Abhyas 2020 · Physics · Center of Mass, Momentum and Collision

Three point masses 1. 0kg , 1. 5kg and 2. 5kg are placed at the...

Three point masses 1.0kg1. 0kg, 1.5kg1. 5kg and 2.5kg2. 5kgare placed at the vertices of a right-angle triangle of sides 4.0cm4. 0cm, 3.0cm3. 0cm and 5.0cm5. 0cm,& as shown in the figure. The centre of mass of the system is


Three point masses 1. 0kg , 1. 5kg and 2. 5kg are placed at the vertices of a right-angle triangle of sides 4. 0cm , 3.

Options

  1. A0.6cm0. 6cm right and 2.0cm2. 0cm above 11 kg mass
  2. B2.0cm2. 0cm right and 0.9cm0. 9cm above 11 kg mass
  3. C0.9cm0. 9cm right and 2.0cm2. 0cm above 11 kgmass
  4. D1.5cm1. 5cm right and 1.2cm1. 2cm above11 kg mass

Correct answer

C. 0.9cm0. 9cm right and 2.0cm2. 0cm above 11 kgmass

Step-by-step solution

Let us assume that the origin of the coordinate system is at the location of 11 kg mass, then

Three point masses 1. 0kg , 1. 5kg and 2. 5kg are placed at the vertices of a right-angle triangle of sides 4. 0cm , 3.

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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