A mass is attached to an ideal spring of force constant

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A 0.25 kg0.25\,\text{kg} mass is attached to an ideal spring of force constant 100 N m−1100\,\text{N}\,\text{m}^{-1}. The system is driven by an external periodic force whose frequency can be varied. Three driving frequencies are available: 1.0 Hz1.0\,\text{Hz}, 3.0 Hz3.0\,\text{Hz} and 5.0 Hz5.0\,\text{Hz}. Identify which frequency will produce resonance. (Take π2=10\pi^{2}=10.)

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