Physics-
General
Easy

Question

A uniform thin rod of mass M and length L is standing vertically along the Y–axis on a smooth horizontal surface with its lower end at origin (0, 0). A slight disturbance at t = 0 causes the lower end to slip on smooth surface along the positive X–axis and the rod starts falling. The path followed by the centre of mass of the rod during its fall is a/an.

  1. Straight line    
  2. Parabola    
  3. Ellipse    
  4. Circle    

The correct answer is: Circle


    x = fraction numerator L over denominator 2 end fractioncos theta ; y = fraction numerator L over denominator 2 end fraction sintheta
    open parentheses fraction numerator 2 x over denominator L end fraction close parentheses to the power of 2 end exponent plus open parentheses fraction numerator 2 y over denominator L end fraction close parentheses to the power of 2 end exponent = 1
    rightwards double arrowx2 + y2 = fraction numerator L to the power of 2 end exponent over denominator 4 end fraction = Circle

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