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NEET2016PhysicsRotational MotionActual

A light rod of length, l has two masses, m 1 and m 2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is

Options

  1. Am 1 m 2 m 1 + m 2 l 2
  2. Bm 1 + m 2 m 1 m 2 l 2
  3. Cm 1 + m 2 l 2
  4. Dm 1 m 2 l 2

Correct answer

A. m 1 m 2 m 1 + m 2 l 2

Step-by-step solution

x 1 = m 2 l m 1 + m 2 and x 2 = m 1 l m 1 + m 2 . I = m 1 x 1 2 + m 2 x 2 2 = m 1 m 2 m 1 + m 2 l 2 .

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