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Atwood machine: ratio of masses from the acceleration (or the reverse)

This type of question, asked 4 times: 26 Jul 2022, 31 Jan 2024, 6 Apr 2024, 9 Apr 2024. All 4 questions below, oldest first.

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  1. Question 1

    26 Jul 2022

    108
    Two masses M1M_{1} and M2M_{2} are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass M2M_{2} is twice that of M1M_{1}. the acceleration of the system is a1a_{1}. When the mass M2M_{2} is thrice that of M1M_{1}. the acceleration of the system is a2a_{2}. The ratio a1a2\frac{a_{1}}{a_{2}} will be:

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  2. Question 2

    31 Jan 2024

    91
    A light string passing over a smooth light fixed pulley connects two blocks of masses m1m_{1} and m2m_{2}. If the acceleration of the system is g/8g/8, then the ratio of masses is

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  3. Question 3

    6 Apr 2024

    15
    A light string passing over a smooth light pulley connects two blocks of masses m1m_{1} and m2m_{2} (where m2>m1m_{2}>m_{1} ). If the acceleration of the system is g2\frac{g}{\sqrt{2}}, then the ratio of the masses m1 m2\frac{m_{1}}{{\text{ }m}_{2}} is :

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  4. Question 4

    9 Apr 2024

    8
    A light unstretchable string passing over a smooth light pulley connects two blocks of masses m1m_{1} and m2m_{2}. If the acceleration of the system is g8\frac{g}{8}, then the ratio of the masses m2 m1\frac{m_{2}}{{\text{ }m}_{1}} is:

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