PYQ Vault

Angular frequency of two masses joined by a spring (reduced mass)

This type of question, asked 2 times: 2021 Paper 14, 28 Jan 2026 S2. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 14

    8
    Two springs having constant, kk and 4k4k are connected in series and then connected to 2 masses, 200gm200gm and 800gm800gm at each end. Find angular frequency of their oscillation if k=20 N/mk = 20\text{ }N/m.

    Tap an option to check your answer.

  2. Question 2

    28 Jan 2026 S2

    17
    As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses 1 kg and 0.2 kg with a separation more than spring natural length and are released. Assuming the horizontal surface to be frictionless, the angular frequency (in SI unit) of the system is :

    Tap an option to check your answer.