Question

A uniform meter scale can be balanced at 70 cm mark when a mass of 0.05 kg is hung from 94 cm mark.
(i) Draw a diagram of the arrangement. (ii) Find the mass of the scale.

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A uniform metre scale can be balanced at the 70.0 cm mark when a mass of 0.05 kg is hung from the 94.0 cm mark.

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asked Dec 4, 2018 in Class X Science by muskan15 (-3,443 points)

A uniform metre scale can be balanced at the 70.0 cm mark when a mass of 0.05 kg is hung from the 94.0 cm mark.

(i) Draw a diagram of the arrangement.

(ii) Find the mass of the metre scale.

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answered Dec 4, 2018 by priya12 (-12,631 points)

(i) Diagram of the given arrangement is shown below.

(ii) As the given meter scale is a uniform scale. So its centre of gravity lies at 50 cm. Let mass of meter scale be W1 kg.

By principle of moments,

m1x1 = m2x2

m1 x (70 - 50) = 0.05 x (94 - 70)

m1 = 0.05 x 24/20

= 0.06 kg.

= 60 gm.