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Question
A uniform half meter rule balances horizontally on a knife-edge at 29 cm mark when a weight of 20 gf is suspended from one end
1) Draw a diagram of the arrangement
2) What is the weight of the half meter rule?
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Solution
1) Diagram of the arrangement mentioned in the corresponding question:
2) The center of gravity of a uniform half meter rule is 25 cm
The rule balances horizontally on a knife-edge at 29 cm mark when a weight of 20 kgf is suspended from one end.
The difference in the center of gravity and the point of balance = 29 - 25 = 4 cm (Y).
The weight is suspended at one of the extremes.
let us assume at the 50 cm end
Therefore, the distance from the point of knife edge to the weight
= 50 - 29 = 21 cm (X).
Weight of meter rule = `X/Y` x Suspended weight
∴ Weight of meter rule = `21/4 xx 20` = 105 gf
The weight of the half meter rule is 105 gf.
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