A spring with a cart at its end vibrates at frequency 5.0 Hz .?

NetherCraft 0

A. Determine the period of vibration.

b. Determine the frequency if the cart’s mass is doubled while the spring constant remains unchanged.

c. Determine the frequency if the spring constant doubles while the cart’s mass remains the same.

thank you!

2 Answers

  • A. period T = 1/f = 1/5Hz = 0.20 seconds

    Since f = (1/2π)√(k/m),

    B. If we double the mass we divide the frequency by √2; new f = 3.5 Hz

    C. If we double the spring constant, we multiply the frequency by √2;

    new f = 7.1 Hz

  • A. period T = 1/f = 1/5Hz = 0.20 seconds

    Since f = (1/2π)√(k/m),

    B. If we double the mass we divide the frequency by √2; new f = 3.5 Hz

    C. If we double the spring constant, we multiply the frequency by √2;

    new f = 7.1 Hz

    Hope this helps!

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