Ask Question
21 January, 06:12

When hung from an ideal spring with spring constant k = 1.5 N/m, it bounces up and down with some frequency ω, if you stop the bouncing and let it swing from side to side through a small angle, the frequency of the pendulum is half the bounce frequency ω/2. What is the length of the un-stretched spring l = ? Note ω should not be part of your answer.

+4
Answers (1)
  1. 21 January, 08:58
    0
    L = ¼ k g / m

    Explanation:

    This is an interesting exercise, in the first case the spring bounces under its own weight and in the second it oscillates under its own weight.

    The first case angular velocity, spring mass system is

    w₁² = k / m

    The second case the angular velocity is

    w₂² = L / g

    They tell us

    w₂ = ½ w₁

    Let's replace and calculate

    √ (L / g) = ½ √ (k / m)

    L / g = ¼ k / m

    L = ¼ k g / m
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “When hung from an ideal spring with spring constant k = 1.5 N/m, it bounces up and down with some frequency ω, if you stop the bouncing and ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers