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A uniform half metre rule balances horizontally on a knife edge at 29 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 half metre rule?

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ICSE 2017

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Answer

(i) Diagram of the arrangement is shown below:

A uniform half metre rule balances horizontally on a knife edge at 29 cm mark when a weight of 20 gf is suspended from one end. Draw a diagram of the arrangement. What is the weight of the half metre rule? ICSE 2017 Physics Solved Question Paper.

(ii) If W gf is the weight of half meter rule, by the principle of moments,

W×(2925)=20×(5029)W×4=20×21W=20×214W=105 gfW \times (29 - 25) = 20 \times (50 - 29) \\[0.5em] \Rightarrow W \times 4 = 20 \times 21 \\[0.5em] \Rightarrow W = \dfrac{20 \times 21}{4} \\[0.5em] \Rightarrow W = 105 \text{ gf}

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