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JEE Main 20206 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
6 September
Shift
Morning Shift
Subject
Physics
Chapter
Rotational Motion

JEE Main 2020 · 6 September · Morning Shift · Physics · Rotational Motion

Four point masses, each of mass m , are fixed at the corners of a...

Four point masses, each of mass mm, are fixed at the corners of a square of side I. The square is rotating with angular frequency ω,\omega, about an axis passing through one of the corners of the square and parallel to tis diagonal, as shown in the figure. The angular momentum of the square about the axis is

Four point masses, each of mass m , are fixed at the corners of a square of side I. The square is rotating with angular

Options

  1. Amℓ2ωm{ℓ}^{2}\omega
  2. B4mℓ2ω4m{ℓ}^{2}\omega
  3. C3mℓ2ω3m{ℓ}^{2}\omega
  4. D2mℓ2ω2m{ℓ}^{2}\omega

Correct answer

C. 3mℓ2ω3m{ℓ}^{2}\omega

Step-by-step solution

Four point masses, each of mass m , are fixed at the corners of a square of side I. The square is rotating with angular

1=M(l2)2+m(le)21 = M{\left(\dfrac{l}{\sqrt{2}}\right)}^{2} + m ( \sqrt{l}e{)}^{2}

3mℓ2ω3m{ℓ}^{2}\omega

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