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A uniform meter scale is in equilibrium as shown in the figure given below

A uniform meter scale is in equilibrium as shown in the figure. Calculate the weight of the meter scale. Physics Sample Paper Solved ICSE Class 10.

Calculate the weight of the meter scale.

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Answer

Let W gf be the weight of metre rule which acts downwards from 50 cm mark.

A uniform meter scale is in equilibrium as shown in the figure. Calculate the weight of the meter scale. Physics Sample Paper Solved ICSE Class 10.

In equilibrium position, taking moments about fulcrum.

Anticlockwise moment = 40 x (30 - 5) = 40 x 25 = 1000 gf cm

Clockwise moment = W (50 - 30) = 20 W gf cm

∴ Using principle of moments:

Clockwise moment = anticlockwise moment

So, 20 W = 1000

W = 100020\dfrac{1000}{20} = 50 gf

∴ Weight of the metre scale = 50 gf

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