A uniform metre rule balances horizontally on a knife edge placed at the 58 cm mark when a weight of 20 gf is suspended from one end.

(i) Draw a diagram of the arrangement.

(ii) What is the weight of the rule ?

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Solution

(i) Diagram:

(ii) Using principle of moments about the 58 cm mark, $W \times (58 - 50) = 20 \times (100 - 58)$

$\Rightarrow W \times 8 = 20 \times 42$

$∴ W = 105 g$

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