A mass-spring system oscillates such that the mass moves on a rough surface having…

Physics · JEE Advanced · NTA ExamsWork, Energy and Power

A mass-spring system oscillates such that the mass moves on a rough surface having coefficient of friction μ. It is compressed by a distance a from its normal length and, on being released, it moves to a distance b from its equilibrium position. The decrease in amplitude for one half-cycle (–a to b) is:
  1. \(\frac{\mu m g}{k}\)
  2. \(\frac{2 \mu m g}{k}\)
  3. \(\frac{\mu g}{k}\)
  4. \(\frac{\boldsymbol{k}}{\mu m g}\)

Answer

(B) 2 m g k

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