An uniform metre scale is balanced at 60 cm mark, When weight of 5 gf and 40 gf are suspended at 10 cm mark and 80 cm mark respectively. Calculate the weight of metre scale.

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Solution

Step: 1
Given :
Meter scale is balanced at the 60 cm mark.
Weight 5 gf at 10 cm mark and weight 40 gf at 80 cm mark.
The weight of the meter-scale will act at the 50 cm mark.
Step - 2.
Diagram -
Step - 3
Formula used :
Anti clockwise Moment = Clock wise Moment
(5 x 50) + ( W x 10) = (40 x 20)
250 + 10 W = 800
10 W = 800 - 250
10 W = 550
W = 55 gf.
Hence weight of metre scale is 55 gf.

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