# Questions tagged [harmonic-oscillator]

The term "harmonic oscillator" is used to describe any system with a "linear" restoring force that tends to return the system to an equilibrium state. There is both a classical harmonic oscillator and a quantum harmonic oscillator. Both are used to as toy problems that describe many physical systems.

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### Resonant response of oscillator [closed]

Within my lectures on SHM we covered the basics of resonance. To get an equation for displacement one step was used which I am not comfortable with. My lecturer said that there is a perfect balance ...
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### Demonstration of Simple harmonic motion and Hooke's law

Im very new physic student. Im studying this video. https://www.youtube.com/watch?v=tNpuTx7UQbw&index=11&list=PLyQSN7X0ro203puVhQsmCj9qhlFQ-As8e it's about Simple harmonic motion and hooke's ...
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### Would this be considered simple harmonic motion?

If a small creature moves in a vertical circle, will its shadow formed on a horizontal plane, because of the sun, move in a simple harmonic motion? I'm considering it to be a small circle so that the ...
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### A conceptual doubt regarding Longitudinal Waves

I was recently studying about Longitudinal Waves and I have a little trouble understanding the Displacement versus distance graph for these waves. Firstly, how exactly does one come up with such a ...
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### Change in period of damped pendulum system [closed]

Suppose we have a simple pendulum damped by air resistance, proportional to the velocity of the pendulum. By using the small angle approximation of sin, we are able to solve a second order ...
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### Simple Harmonic Motion vibration and waves

In SHM, acceleration is always in the opposite direction of the oscillating particle.But, in the case of a pendulum, when the bob is, at first, set free, it's displacement is towards the acceleration ...
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### Damping on a pendulum

So I have this question where you are given a simple pendulum, and you are asked how increasing the damping will affect the frequency and amplitude, I am at a loss as the answer says that frequency is ...
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### Simple pendulum with varying mass [closed]

If i make a simple pendulum using a ball filled with water and then puncture the ball with needle making a small hole. The pendulum is then made to oscillate . The water will flow through the hole . ...
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### Can anyone explain the harmonic oscillator (in context to quantum mechanics) 2.3 (Griffiths) using Taylor series?

At the end he concludes $V(x) = V''(x_0)(x-x_0)^2$. How does he get to know that the rest are $0$? How does he conclude $V''(x_0) = k$. Please try to explain in easy ways and tough vocabulary. I don't ...
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$$F(x)= -kx = ma(x)$$ Elastic force equation I solve this differential equation to find the equation of motion: $$-kx =m\frac{d^2x}{dt^2}$$ $$x'' +\frac{k}{m}x=0$$ $λ^2 = -\frac{k}{m}$ $λ ... 2answers 55k views ### What is the formula for max kinetic and max potential energy of a spring? [closed] What is the formula for max kinetic and max potential energy of a spring? 1answer 50 views ### How to derive the single harmonic oscillator propagator given the ground state wave function? [closed] The propagator is defined to be$\langle x|U(t;0)|x'\rangle$, and assume that we know the SHO ground state wave equation $$\psi_{0}(x)=(\frac{m\omega}{\sqrt{\pi}\hbar})^{1/2}e^{-m \omega x^2/2\hbar}$$ ... 1answer 1k views ### Tension in pendulum [closed] I am asked to calculate the tension in the rope of a pendulum at (a) its initial position as well as at (b) its lowest position.$L = 3 mα = 10^omass = 2kg$(a) For the intial point I used ... 1answer 284 views ### Does "the initial phase of oscillation is 45°" mean a time dependence of the form$\sin(\omega t+\pi/4)$or$\cos(\omega t+\pi/4)$? [closed] A point particle of mass 0.1 kg is executing SHM with an amplitude 0.1 m. When the particle passes through the mean position, its kinetic energy is$8 \times 10^{-3}$Joule. Obtain the equation of ... 2answers 204 views ### Spectral decomposition and a harmonic osillator [closed] A system is described by a Hamiltonian $$H^0=\frac{p^2}{2m}+\frac{m\omega^2}{2}x^2.$$ A perturbation in the form of $$H'=\lambda \frac{4m^2\omega^2}{\hbar}x^4$$ is applied. I showed that$H'=\hbar\...
When at maximum displacement, the $x$ and $U$ are max., $K$ and $v$ are $0$. But why is net force max.?
Does the value of $g$ change inside a dense fluid? How would the time period of simple pendulum change when immersed in water?