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प्रश्न
A uniform metre scale balances horizontally on a knife edge placed at 55 cm mark, when a mass of 25 g is supported from one end. Draw the diagram of the arrangement. Calculate mass of the scale.
संख्यात्मक
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उत्तर
As metre scale is uniform, therefore its mass acts at 50 cm mark.
The 25 g mass is supported from the 100 cm end.
Taking moments about 55 cm mark.
Moment in clockwise direction = 25 g × 45 cm = 1125 g cm
Moment in anticlockwise direction = M × 5 cm = 5 M cm
By the law of moments,
Moment in clockwise direction = Moment in anticlockwise direction.
5 M cm = 1125 g cm
\[ \therefore \text{M} = \frac{1125}{5}\ \text{g} \]
= 225 g
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