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A uniform metre scale of weight 20 gf is...

A uniform metre scale of weight 20 gf is supported on a wedge placed at 60 cm mark. If a weight of 30 gf is suspended at 15 cm mark, where should a weight 200 gf be suspended in order to balance the metre scale?

Text Solution

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(I) Apply the law of moments.
(ii) Let the weight of 200 gf be suspended at distance 'x'.
(iii) moment of force = force `xx` perpendicular distance of force from the wedge.
(iv) Find anti-clockwise and clockwise moments.
(v) Principle of moments : sum of anti-clockwise moments = sum of clockwise moments.
(vi) 67.75 cm mark on scale.
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