A mass hanging from a spring can oscillate in the vertical


A mass hanging from a spring can oscillate in the vertical direction or can swing as a pendulum of small amplitude, however not both at the same time. Which one is longer, the period of the vertical oscillations or the period of the horizontal swings, and by what amount? [Hint: Let be the length of the unstretched spring, and L be its length with the mass attached at rest.]

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Physics: A mass hanging from a spring can oscillate in the vertical
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