Energy In Shm
Total mechanical energy of SHM (mass m, amplitude A)?
Select the correct option:
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
More oscillations and waves Practice Questions
A mass oscillating in simple harmonic motion has total mechanical energy E, and at a certain instant...
A mass oscillating in simple harmonic motion has total mechanical energy E, and at a certain instant...
Total mechanical energy in SHM (amplitude A) is:
Total mechanical energy in SHM (amplitude A) is:
Comparing uniform circular motion with simple harmonic motion, the projection of a particle moving s...
Comparing uniform circular motion with simple harmonic motion, the projection of a particle moving s...
A stretched guitar string carries a tension of 80 N and has a linear mass density of 0.005 kg per me...
A stretched guitar string carries a tension of 80 N and has a linear mass density of 0.005 kg per me...
According to the Laplace correction, the speed of sound in a gas depends on which combination of gas...
According to the Laplace correction, the speed of sound in a gas depends on which combination of gas...
A piano tuner sounds a reference fork of 256 hertz alongside a slightly mistuned string and hears fo...
A piano tuner sounds a reference fork of 256 hertz alongside a slightly mistuned string and hears fo...
Sound propagating through the air inside a long tube compresses and rarefies the medium along the di...
Sound propagating through the air inside a long tube compresses and rarefies the medium along the di...
A string fixed at both ends and one metre long vibrates in its fundamental mode, so what is the wave...
A string fixed at both ends and one metre long vibrates in its fundamental mode, so what is the wave...
An ambulance siren emitting 400 hertz approaches a stationary listener at 30 metres per second while...
An ambulance siren emitting 400 hertz approaches a stationary listener at 30 metres per second while...
Two waves of the same frequency travelling in a medium arrive at a point exactly out of phase with e...
Two waves of the same frequency travelling in a medium arrive at a point exactly out of phase with e...
An organ pipe closed at one end and open at the other resonates in its lowest mode, so which harmoni...
An organ pipe closed at one end and open at the other resonates in its lowest mode, so which harmoni...
A block of mass 2 kg attached to a light spring of force constant 200 N per metre oscillates on a fr...
A block of mass 2 kg attached to a light spring of force constant 200 N per metre oscillates on a fr...
About This Question
- Subject
- physics
- Chapter
- oscillations and waves
- Topic
- energy in shm
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
(1/2) m ω² A²
- Potential Energy (U): U=21kx2. At extreme position (x=A), Umax=21kA2.
- Kinetic Energy (K): Kmax=21mvmax2 at x=0. Since vmax=ωA, Kmax=21m(ωA)2.
- Conservation: Total Energy E=Umax=Kmax=21kA2.
- Substitute for k: Since ω2=k/m, then k=mω2.
- Final Expression: E=21mω2A2.
- Insight: Total energy is independent of x and t, and proportional to the square of the amplitude.
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.
Looking for more practice? Explore all physics questions or browse oscillations and waves questions on RankGuru.