A metre scale is supported on a wedge at its centre of gravity. A body of weight 'w' is suspended from the 20 cm mark and another weight of 25 gram is suspended from 74 cm mark to balance it and the metre scale remains perfectly horizontal. Neglecting the weight of the metre scale, the weight of the body is (a) 20 gram-wt (b) 15 gram-wt (c) 33 gram-wt (d) 30 gram-wt

Answer: (a). Pivot at 50 cm (centre of gravity). Take moments about it. w(50-20) = 25(74-50) 30w = 600 ⇒ w = 20 gram-wt So the answer is (a).

A metre scale is supported on a wedge at its centre of gravity. A… | MHT CET 2021 (23 Sep, Shift 2)

Q24MHT CET 2021 · 23 SEP · SHIFT 2Medium

Torque, Couple & Equilibrium of Rigid Bodies

A metre scale is supported on a wedge at its centre of gravity. A body of weight 'w' is suspended from the $20\text{ cm}$ mark and another weight of 25 gram is suspended from $74\text{ cm}$ mark to balance it and the metre scale remains perfectly horizontal. Neglecting the weight of the metre scale, the weight of the body is

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Answer: (a)

Pivot at 50 cm (centre of gravity). Take moments about it.
$w(50-20) = 25(74-50)$
$30w = 600 \Rightarrow w = 20$ gram-wt
So the answer is (a).

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