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Block pulled or pushed at an angle on a rough floor

This type of question, asked 4 times: 2021 Paper 5, 2021 Paper 25, 1 Feb 2023, 4 Apr 2025. All 4 questions below, oldest first.

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  1. Question 1

    2021 Paper 5

    3
    A block of mass mm slides along a floor while a force of magnitude FF is applied to it at an angle θ\theta as shown in figure. The coefficient of kinetic friction is μK\mu_{K}. Then, the block's acceleration ' aa ' is given by : ( gg is acceleration due to gravity)

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  2. Question 2

    2021 Paper 25

    24
    As shown in the figure, a block of mass 3 kg\sqrt{3}\text{ }kg is kept on a horizontal rough surface of coefficient of friction 133\frac{1}{3\sqrt{3}}. The critical force to be applied on the vertical surface as shown at an angle 60∘60^{\circ} with horizontal such that it does not move, will be 3x3x. The value of xx will be
    [g=10 m/s2;sin⁡60∘=32;cos⁡60∘=12]\left\lbrack g = 10\text{ }m/s^{2};\sin60^{\circ}=\frac{\sqrt{3}}{2};\cos60^{\circ}=\frac{1}{2} \right\rbrack

  3. Question 3

    1 Feb 2023

    108
    As shown in the figure a block of mass 10 kg10\text{ }kg lying on a horizontal surface is pulled by a force FF acting at an angle 30∘30^{\circ}, with horizontal. For μs=0.25\mu_{s}= 0.25, the block will just start to move for the value of FF : [Given g=10 ms−2g = 10{\text{ }ms}^{- 2} ]

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  4. Question 4

    4 Apr 2025

    89
    A block of mass 25 kg is pulled along a horizontal surface by a force at an angle 45∘45^{\circ} with the horizontal. The friction coefficient between the block and the surface is 0.25 . If the block moves with uniform velocity, the work done by the force for a displacement of 5 m of the block is:

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