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JEE Main201815 Apr 2018Morning ShiftPhysicsRotational MotionActual

A uniform rod A B is suspended from a point X , at a variable distance from x from A , as shown. To make the rod horizontal, a mass m is suspended from its end A . A set of (m, x) values is recorded. The appropriate variable that give a straight line, when plotted, are:

Options

  1. Am, 1 x
  2. Bm, 1 x^2
  3. Cm, x
  4. Dm, x^2

Correct answer

A. m, 1 x

Step-by-step solution

Balancing torque w.r.t. point of suspension aligned &m g x=M g ( 2 -x ) & m x=M 2 -M x &m= (M 2 ) 1 x -M aligned y= 1 x -C Straight line equation.

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