Free AP Physics C lesson

Spring Systems

This AP Physics C: Mechanics lesson is designed for AP Physics C self-study. It includes 3 video lessons, 5 practice questions, and an estimated completion time of 22 minutes.

Video lessons

  1. Harmonic Oscillator with a Crate on Top of a Crate

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  2. Springs in Series and Parallel

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  3. The Equivalence of a Vertical Mass on a Spring to a Horizontal Mass on a Spring

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Practice covered

  1. A mass m_1 on a spring has a second mass m_2 resting on top of it. The coefficient of static friction between the masses is mu_s. What determines the maximum acceleration the system can have without m_2 slipping?
  2. Two identical springs with spring constant k are connected end-to-end (in series). What is the effective spring constant k_eff of this combination?
  3. Two identical springs with spring constant k are connected side-by-side (in parallel). What is the effective spring constant k_eff of this combination? Express as a coefficient times k.
  4. A spring is cut in half. How does the spring constant of one half (k') compare to the original spring constant (k)?
  5. Why do a horizontal mass-spring system and a vertical mass-spring system (both with the same m and k) have the same period of oscillation?
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