Two masses m1 and m2 are suspended together by a light spring of spring constant k as…

Physics · JEE Advanced · NTA ExamsOscillations and Waves

Two masses m1 and m2 are suspended together by a light spring of spring constant k as shown in the figure. When the system is in equilibrium, the mass m1 is removed without disturbing the system, as a result of this removal mass m2 performs simple harmonic motion. For this situation mark the correct statement(s).
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  1. the amplitude of oscillation is \(\frac{m_{1} g}{k}\)
  2. the amplitude of oscillation is \(\frac{\left(m_{1}+m_{2}\right) g}{k}\)
  3. the system oscillates with angular frequency \(\sqrt{\frac{k}{m_{2}}}\)
  4. the system oscillates with angular frequency
     \(\sqrt{\frac{k}{\left(m_{1}+m_{2}\right)}}\)

Answer

(A) the amplitude of oscillation is m_ 1 g k, (C) the system oscillates with angular frequency k m_ 2

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