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Most Important Selected Qs for JEE AdvancedPhysicsRotational Motion

AB is a uniform rod of mass 1 kg and length 1 m . Rod is placed on a smooth horizontal table in xy plane along X -axis. Initially centre of mass C of the rod is at origin as shown. A constant force F =1 j Newton starts acting on the rod at end A. Choose correct options:

Options

  1. AC will move on Y -axis
  2. Bafter a finite time rod will be parallel to Y -axis momentarily.
  3. Crod undergoes oscillatory motion about point A after some time.
  4. Dangular velocity of rod will be proportional to where is angle made by rod with X -axis, (0 / 2)

Correct answer

D. angular velocity of rod will be proportional to where is angle made by rod with X -axis, (0 / 2)

Step-by-step solution

aligned & T _ C = I _ C & ( 1 2 ) 1= 1(1)^2 12 ~d ^2 dt ^2 aligned ₀^ d =6 ₀^ d aligned & ^2 2 =6 & aligned T _ C = 1 2 positive so increases as t increases. So rod will be parallel to y -axis in finite time . C.O.M. moves on y -axis [if necessary use . ₀^ / 2 d =2.6 ] .

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