1. a) A uniform half meter rule balances horizontally on a knife edge at 29 cm mark
when a weight of 2 gf is suspended from one end.
(i) Draw a diagram of the arrangement.
(ii) What is the weight of the half meter rule?
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(ii) 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=4cm(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=21cm(X)
Weight of meter rule =
Y
X
× Suspended weight
∴ Weight of meter rule =
4
21
×20=105 kgf
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