PYQ Vault
EbooksTutor

Angular velocity of a rod falling about a pivot

This type of question, asked 2 times: 2021 Paper 24, 24 Jan 2026 S2. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 24

    28
    A 2 kg2\text{ }kg steel rod of length 0.6 m0.6\text{ }m is clamped on a table vertically at its lower end and is free to rotate in vertical plane. The upper end is pushed so that the rod falls under gravity, Ignoring the friction due to clamping at its lower end, the speed of the free end of rod when it passes through its lowest position is ____\_\_\_\_ ms−1ms^{- 1}. (Take  g=10 ms−2)\left. \ g = 10{\text{ }ms}^{- 2} \right)

  2. Question 2

    24 Jan 2026 S2

    6
    A thin uniform rod (X)(X) of mass M and length L is pivoted at a height (L3)\left( \frac{L}{3} \right) as shown in the figure. The rod is allowed to fall from a vertical position and lie horizontally on the table. The angular velocity of this rod when it hits the table top, is ____\_\_\_\_ . ( g=g = gravitational acceleration)

    Tap an option to check your answer.