Period Of Mass-spring
Time period of mass m on spring k is:
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About This Question
- Subject
- physics
- Chapter
- oscillations and waves
- Topic
- period of mass-spring
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
2π √(m/k)
For a mass m attached to an ideal spring of constant k, the restoring force is F=−kx. Equating it to ma: mdt2d2x=−kx⟹dt2d2x+(mk)x=0 Comparing with the standard SHM equation dt2d2x+ω2x=0, we find: ω=mk The time period T is given by T=ω2π=2πkm.
This easy difficulty physics question is from the chapter oscillations and waves, covering the topic of period of mass-spring. It appeared in the 2025 exam.
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