Energy In Shm
Total mechanical energy in SHM (amplitude A) is:
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About This Question
- Subject
- physics
- Chapter
- oscillations and waves
- Topic
- energy in shm
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
(1/2)kA2
In SHM, the total energy E is the sum of kinetic energy (K) and potential energy (U): E=K+U=21mv2+21kx2 For any displacement x: E=21mω2(A2−x2)+21kx2=21k(A2−x2)+21kx2 E=21kA2 This total energy remains constant throughout the cycle, oscillating between purely kinetic (at equilibrium, x=0) and purely potential (at extremes, x=±A).
This easy difficulty physics question is from the chapter oscillations and waves, covering the topic of energy in shm. It appeared in the 2025 exam.
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