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Contact force or string tension between bodies pulled together on a smooth surface

This type of question, asked 3 times: 3 May 2023 S1, 18 Apr 2026 S1, 20 Apr 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    46
    Two blocks of masses 6 kg and 4 kg are placed in contact on a smooth surface. If a force of 5 N is applied on the heavier block, the force on the lighter block is

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  2. Question 2

    18 Apr 2026 S1

    104
    A block of mass M is lying on a horizontal frictionless surface. One end of the uniform rope of half the mass of the block is fixed to the block which is pulled in the horizontal direction by applying a force F at the other end. The tension in the middle of the rope will be

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  3. Question 3

    20 Apr 2026 S2

    106
    Three blocks of different masses connected with inextensible string are pulled by a force FF on a frictionless surface as shown in the figure. The ratio of tensions T1T_1 to T2T_2 is

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