A uniform rod A B 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 strai

Question

A uniform rod A B 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:

Quantrex Academy · Accepted Answer

Correct answer: C. m , 1 x

Net torque about suspension is zero, &#8658; m g x = M g l 2 - x &#8658; m x = M l 2 - M x &#8658; m = M l 2 1 x - M &#8658; y = &#160; &#945; 1 x - C , where, y = m , &#160; a = M l 2 and C = M it is the equation of straight line with variable m and 1 x .

A uniform rod A B 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:

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