Four identical rods, each of mass m and length l , are joined to form a rigid square…

Physics · JEE Advanced · NTA ExamsRotational Motion

Four identical rods, each of mass m and length l, are joined to form a rigid square frame. The frame lies in the x-y plane, with its centre at the origin and the sides parallel to the x and y axis. Its moment of inertia about.
  1. the x– axis is \(\frac{2}{3} m \ell^{2}\)
  2. the z– axis is \(\frac{4}{3} m \ell^{2}\)
  3. and axis parallel to the z– axis and passing through a corner is \(\frac{10}{3} m \ell^{2}\)
  4. one side is \(\frac{5}{3} m \ell^{2}\)

Answer

(A) the x– axis is 2 3 m ^ 2, (B) the z– axis is 4 3 m ^ 2, (C) and axis parallel to the z– axis and passing through a corner is 10 3 m ^ 2, (D) one side is 5 3 m ^ 2

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