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Masses hung one below another from a pulley: tensions in the strings

This type of question, asked 2 times: 5 Apr 2024, 5 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    5 Apr 2024

    24
    Three blocks M1,M2,M3M_{1},M_{2},M_{3} having masses 4 kg,6 kg4\text{ }kg,6\text{ }kg and 10 kg10\text{ }kg respectively are hanging from a smooth pulley using rope 1,2 and 3 as shown in figure. The tension in the rope 1, T11,{\text{ }T}_{1} when they are moving upward with acceleration of 2 ms−22{\text{ }ms}^{- 2} is _____ NN (if g=10 m/s2g = 10\text{ }m/s^{2} )
  2. Question 2

    5 Apr 2026 S1

    4
    Three masses m1=4 kg, m2=4 kgm_{1}= 4\text{ }kg,{\text{ }m}_{2}= 4\text{ }kg and m3=6 kgm_{3}= 6\text{ }kg are suspended from a fixed smooth frictionless pulley as shown in the figure below. The value of T1/T2T_{1}/T_{2} is ____\_\_\_\_ . (take g=10 m/s2g = 10\text{ }m/s^{2} )

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