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A uniform meter scale is in equilibrium ...

A uniform meter scale is in equilibrium as shown in the diagram : Calculate the weight of the meter scale.
(ii) Which of the following options is correct to keep the ruler in equilibrium when 40 gf wt is shifted to 0 cm mark?
F is shifted towards 0 cm.
Or
F is shifted towards 100 cm.

Text Solution

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(i) Let the weight of the meter scale be x gf and it acts at the centre of gravity (i.e., 50 cm mark)

Anticlockwise moment = `40xx25` gf cm
Clockwise moment = `x xx20` gf cm
when the meter scale is balanced,
Clockwise moment = Anticlockwise moment
`rArrx xx20=40xx25`
`rArrx=(40xx25)/20gf`
= 50 gf
`therefore` Weight of meter scale is 50 gf.
(ii) F is shifted towards 0 cm.
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