17. Periodic Motion - Part 1 of 2
17. Periodic Motion / Spring Force (Hooke's Law) / Problem 2
A spring-mass oscillator is used in a mechanical clock to be exhibited during the school's science fair. It consists of two springs, with spring constants k1 and k2, where k1=k2/4, and bob of mass m, as shown below. Derive an expression for the bob’s oscillation frequency f in terms of the frequencies f₁ and f₂ at which it would oscillate if attached to spring 1 or spring 2 alone.
![Diagram of a spring-mass oscillator with two springs and a mass bob for physics course.](https://lightcat-files.s3.amazonaws.com/problem_images/644774c504ecbf27-1682109156470.jpg)
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