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Angle of repose: when a block slips on a rough slope or curve

This type of question, asked 2 times: 30 Jan 2024, 4 Apr 2024. All 2 questions below, oldest first.

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  1. Question 1

    30 Jan 2024

    99
    A block of mass mm is placed on a surface having vertical cross section given by y=x2/4y=x^{2}/4. If coefficient of friction is 0.5 , the maximum height above the ground at which block can be placed without slipping is:

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  2. Question 2

    4 Apr 2024

    103
    A 2 kg2\text{ }kg brick begins to slide over a surface which is inclined at an angle of 45∘45^{\circ} with respect to horizontal axis. The co-efficient of static friction between their surfaces is:

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