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:

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:, m , x 2, m , 1 x 2, m , 1 x, m , x

MARKS App · Accepted Answer

Net torque about suspension is zero, ⇒ m g x = M g l 2 - x ⇒ m x = M l 2 - M x ⇒ m = M l 2 1 x - M ⇒ y = α 1 x - C , where, y = m , a = M l 2 and C = M it is the equation of straight line with variable m and 1 x .

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