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QJEEM20Phaa63: JEE Main 2020 Physics - Class 11 JEEM20Phaa63 Solution: Four point masses, each of mass m, are fixed at the corners of…

Four point masses, each of mass m, are fixed at the corners of a square of side ll . The square is rotating with angular frequency ω\omega , about an axis passing through one of the corners of the square and parallel to its diagonal, as shown in the figure. The angular momentum of the square about this axis is : JEE Main 2020 (Online) 6th September Morning Slot Physics - Rotational Motion Question 119 English

Multiple Choice Options

  • A 3m ll 2 ω\omega
  • B 4m ll 2 ω\omega
  • C m ll 2 ω\omega
  • D 2m ll 2 ω\omega

Step-by-Step Verified Solution

JEE Main 2020 (Online) 6th September Morning Slot Physics - Rotational Motion Question 119 English Explanation

I = m(l22)×2+m×(2l)2m\left( {{{{l^2}} \over 2}} \right) \times 2 + m \times {\left( {\sqrt 2 l} \right)^2}

= 3ml23m{l^2}

∴\therefore L = I ω\omega = 3ml2ω3m{l^2}\omega

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