Period of a Massive Spring in Series

Question

A spring with constant $$k_1$$ and mass $$m_1$$ is connected in series to a massless spring with constant $$k_2$$. A block of mass $$M$$ is attached to the free end of the second spring. What is the period of oscillation of the block?

Accepted Answer

$$T = 2\pi \sqrt{\dfrac{M + m_1/3}{k_1 k_2/(k_1 + k_2)}}$$

Answer

$$T = 2\pi\sqrt{\dfrac{M}{k_1 k_2/(k_1 + k_2)}}$$

Answer

$$T = 2\pi\sqrt{M(1/k_1 + 1/k_2)}$$

Answer

$$T = 2\pi\sqrt{(M + m_1)(1/k_1 + 1/k_2)}$$

Period of a Massive Spring in Series

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