A uniform rod A B is suspended from a point X , at a variable distance x from A , as shown. To make the rod…

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

  1. m,x2
  2. m,1x2
  3. m,1x
  4. m,x

Solution



Net torque about suspension is zero, 
mgx=Mgl2-xmx=Ml2-Mx
m=Ml21x-My= α1x-C, where,

y=m, a=Ml2 and C=M
it is the equation of straight line with variable m and 1x.

Asked in: JEE Main 2018 (15 Apr)

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