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Height of the circle above the vertex for a particle moving in a smooth conical funnel

The same question, asked 2 times: 10 May 2023 S2*, 16 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S2

    35
    A particle rotates in a horizontal circle of radius 'R' in a conical funnel with constant speed 'V'. The inner surface of the funnel is smooth. The height of the plane of the circle from the vertex of the funnel is (g = acceleration due to gravity)

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  2. Question 2

    16 Apr 2026 S1

    106
    A particle describes a horizontal circle of radius 'r' in conical funnel with smooth inner surface with a speed of 0.50.5 m/s. The height of the plane of the circle from the vertex of the funnel is (acceleration due to gravity, g=10 m/s2g = 10\ \mathrm{m/s^2})

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