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Height risen by the centre of mass of a rod swinging about its end

The same question, asked 3 times: 15 May 2023 S1, 25 Apr 2025 S2, 15 May 2026 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    15 May 2023 S1

    1
    A thin uniform metal rod of mass MM and length LL is swinging about a horizontal axis passing through its end. Its maximum angular velocity is ω\omega. Its centre of mass rises to a maximum height of (g=g= Acceleration due to gravity)

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  2. Question 2

    25 Apr 2025 S2

    17
    A thin uniform rod of length ' LL ' and mass ' MM ' is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ' ω\omega '. Its centre of mass rises to a maximum height of ( g=g= acceleration due gravity)

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  3. Question 3

    15 May 2026 S1

    106
    A thin uniform rod of length LL and mass mm is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ω\omega. Its centre of mass rises to a maximum height of (gg = acceleration due to gravity)

    Tap an option to check your answer.