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Metre rule balanced on a knife edge with masses hung on it

This type of question, asked 2 times: 14 Jun 2022, 28 Jan 2025. All 2 questions below, oldest first.

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  1. Question 1

    14 Jun 2022

    30
    A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g10\text{ }g are put one on the top of the other at the 10.0 cm10.0\text{ }cm mark the scale is found to be balanced at 40.0 cm40.0\text{ }cm mark. The mass of the metre scale is found to be x×10−2x \times10^{- 2} kgkg. The value of xx is

  2. Question 2

    28 Jan 2025

    92
    A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at 40 cm mark. A mass of 400 g is suspended at 10 cm mark. To maintain the balance of the rod, the mass to be suspended at 90 cm mark, is

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