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Two masses \(m_1\) and \(m_2\) are both held by two separate strings. Thus, there were two separate simple pendulums. The first mass takes twice as long to complete one swing (small angle oscillation), as compared to that of the second mass.

What are the ratio of the two masses \(\frac{m_1}{m_2}\)?

Details and Assumptions

  • The acceleration due to gravity is \(g = 9.81 \frac{m}{s^2}\).

  • Treat both as point masses. Neglect the masses of the strings.

  • Both mass are under the influence of Earth's gravity.

  • Both mass are at the same distance from the Earth's center.

  • Neglect other forces such as friction, drag, etc. The systems are ideal ones.


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