Simple Harmonic Oscillator: Kinetic and Potential Energy Equilibrium

AI Thread Summary
In a simple harmonic oscillator with an amplitude of 0.1 m, the displacement where kinetic and potential energies are equal can be determined using energy conservation principles. The total mechanical energy is constant and is the sum of kinetic and potential energy. At the point of equal energy, each type will be half of the total energy. To find the potential energy at any displacement, the formula U = (1/2)kx^2 can be used, where k is the spring constant and x is the displacement. Understanding these concepts is essential for solving the problem effectively.
Skotta
Messages
1
Reaction score
0

Homework Statement



A simple harmonic oscillator has an amplitude of 0.1 m. At what displacement will its kinetic and potential energies be equal?


Homework Equations





The Attempt at a Solution


I'm trying to figure out how to solve this problem but I'm totally stuck and even don't know how to get started since only the amplitude is known and nothing else. I would be incredible happy, if somebody could help me with this problem.
 
Physics news on Phys.org
How do you find potential energy of a harmonic oscillator at any particular displacement?
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »

Similar threads

Rotating simple harmonic oscillator
Replies
11
Views
1K
Oscillation of free surface of water in parallelepiped container
Replies
13
Views
2K
Potential/Kinetic Energy of Particles in Harmonic Oscillator
Replies
2
Views
1K
Collisions in a harmonic oscillator
Replies
18
Views
3K
How to set up this problem with driven torsional oscillator?
Replies
5
Views
844
Harmonic Oscillator violating Heisenberg's Uncertainity
Replies
8
Views
1K
A position of stable equilibrium, and the period of small oscillations
2
Replies
57
Views
7K
Damped harmonic motion
Replies
3
Views
585
What is meant by small oscillations for this potential energy function?
Replies
2
Views
750
Simple Harmonic Oscillator behaviour when a potential term is added
Replies
11
Views
3K

Hot Threads

Recent Insights

Back
Top