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JEE Main2016PhysicsCenter of Mass, Momentum and CollisionActual

In the figure shown A B C is a uniform wire. If the center of mass of the wire lies vertically below point A , then B C A B is close to

Options

  1. A1 . 85
  2. B1 . 5
  3. C1 . 37
  4. D3

Correct answer

C. 1 . 37

Step-by-step solution

x cm = x 2 = ( ρ x ) ( x 2 ) 1 2 + ρ y ( y 2 ) ρ ( x + y ) ⇒     1 2 + y x = y 2 x 2 ⇒     y x = 1 + 3 2 = 1.37

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