A uniform metre scale rests at 40cm mark when weights 25gf and 10gf are suspended at 5cm mark and 75cm mark respectively. Determine the weight of the metre rule.
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Answer is 52.5g...at 50cm mark
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The weight of the metre rule is 52. 5 g .
Given
A uniform metre scale rests at 40cm mark.
Weights 25gf and 10gf are suspended at 5cm mark and 75cm mark.
To Find
We need to determine the weight of the metre rule.
Solution
The Principle of Moments states that when a body is balanced, the total clockwise moment about a point equals the total anticlockwise moment about the same point.
( 40- 5) × 25 = 10x + 350
35 × 25 = 10x +350
875 = 10x + 350
Hence,
10x = 525
x = 52. 5 g
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