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प्रश्न
A uniform metre scale is balanced at 40 cm mark, when weights of 25 gf and 10 gf are suspended at 5 cm mark and 75 cm mark respectively. Calculate weight of the metre scale.
संख्यात्मक
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उत्तर
As metre scale is uniform, therefore its weight acts at 50 cm mark.
Taking moments about 40 cm mark.
Moment in clockwise direction = W × 10 cm + 10 gf × 35 cm = 10 W cm + 350 gfcm
Moment in anticlockwise direction = 25 gf × 35 cm = 875 gfcm
By the law of moments,
Moment in clockwise direction = Moment in anticlockwise direction.
10 W cm + 350 gfcm = 875 gfcm
∴ 10 W cm = (875 − 350) gfcm
\[\text{W} = \frac{525}{10}\text{gf}\]
= 52.5 gf
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