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MHT CET202015 Oct 2020Morning ShiftPhysicsRotational MotionActual

A thin, uniform metal rod of mass 'M' and length 'L' is swinging about a horizontal axis passing through its end. Its maximum angular velocity is ' ^ . Its centre of mass rises to a maximum height of ( g = acceleration due to gravity)

Options

  1. AL ² ² 6 ~g
  2. BL ² ² ~g
  3. CL ² ² 2 ~g
  4. DL ² ² 3 ~g

Correct answer

A. L ² ² 6 ~g

Step-by-step solution

array l mgh = 1 2 I ² I = mL ² 3 mgh = 1 2 ( mL ² 3 ) ² ~h = 1 6 ~g ~L ² ² array

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