Balancing torque w.r.t. point of suspension mgx=Mg(2ℓ−x)⇒mx=M2ℓ−Mxm=(M2ℓ)x1−M 
y=αx1−C Straight line equation.
JEE Main 2018 — Physics Mechanics
A uniform rodAB 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: 
Held on 15 Apr 2018 · Verified 6 Jul 2026.
m,x1
m,x21
m,x
m,x2
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Two masses $m$ and 2 m are connected by a light string going over a pulley (disc) of mass 30 m with radius $r=0.1 \mathrm{~m}$. The pulley is mounted in a vertical plane and it is free to rotate about its axis. The 2 m mass is released from rest and its speed when it has descended through a height of 3.6 m is $\_\_\_\_$ $\mathrm{m} / \mathrm{s}$. (Assume string does not slip and $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}$)
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