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JEE Main 20208 JanuaryMorning Shift
Exam
JEE Main
Year
2020
Date
8 January
Shift
Morning Shift
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2020 · 8 January · Morning Shift · Physics · Center of Mass, Momentum and Collision

The coordinates of the centre of mass of a uniform flag-shaped...

The coordinates of the centre of mass of a uniform flag-shaped lamina (thin flat plate) of mass 4kg4kg. (The coordinates of the same are shown in the figure) are:

The coordinates of the centre of mass of a uniform flag-shaped lamina (thin flat plate) of mass 4kg . (The coordinates

Options

  1. A(1.25m,1.50m)\left(1.25m, 1.50m\right)
  2. B(0.75m,1.75m)\left(0.75m, 1.75m\right)
  3. C(0.75m,0.75m)\left(0.75m, 0.75m\right)
  4. D(1m,1.75m)\left(1m, 1.75m\right)

Correct answer

B. (0.75m,1.75m)\left(0.75m, 1.75m\right)

Step-by-step solution

The coordinates of the centre of mass of a uniform flag-shaped lamina (thin flat plate) of mass 4kg . (The coordinates
\overset{\to}{r}cm = \dfrac{2 \times \left(\overset{^}{i}2 + \overset{^}{j}\right) + 2 \times \left(\overset{^}{i} + \dfrac{5\overset{^}{j}}{2}\right)}{4}
{\overset{\to}{r}}_{cm} = \dfrac{3}{4}\overset{^}{i} + \dfrac{7}{4}\overset{^}{j}

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