Harmonic oscillation Definition and 61 Threads

Homework Statement A model to describe the vibrations of atoms in a solid is to assume that the atoms are isotropic harmonic oscillators and that the vibrations are independent of the vibrations of the other atoms. We use this model to describe the entropy and heat capacity of Bohrium (B). The...

1. Homework Statement [/b] Let Z(t)=(3/4)Sin(2π/3t) be the equation for a SHO in the Z diection about z=0. 1. what are the amplitude, phase, frequency, angular frequency and period of this SHO? 2. what is the maximum velocity? what is the maximum acceleration? 3. when Z= 3/4, what...

A bar is guided so that one end moves on a vertical line and the other on a horizontal line. A spring is attached to the upper end according to the figure. Any friction is neglected. http://web.comhem.se/~u48800174/springbar.jpg I want to find out how x varies in time. If the center of mass...

Homework Statement PROBLEM STATEMENT: Under these conditions, the motion of the mass when displaced from equilibrium by A is simply that of a damped oscillator, x = A cos(ω_0t) e^(−γt/2) where ω_0 = K/M, K =2k,and γ = b/M. Later we will discuss your measurement of this phenomenon. Now...

Homework Statement Consider y''(t)+(k/m)*y = 0 for simple harmonic oscillation A) Under what conditions on Beta is y(t)=cos(Beta*t) a solution? B) What is the period of this solution? C) Sketch the solution curve in the yv-plane associated with this solution (Hint: y^2 + (v/Beta)^2)...

What is the similarity between Simple Harmonic Oscillation(SHO), simple pendulum and a physical pendulum? I never understood it. Like what's the physical significance of SHO, or the energy and momentum change in oscillating motion?

the displacement of a simple harmonic oscillator versus time is described by the function x = Asin(wt + phi) find the speed when the displacement is sqrt(3) A/2 the answer is piA/2 but I have no idea how the professor got it... the function for the velocity at point x in our book is v_x_ =...

A particle of mass m undergoes one-dimensional undamped harmonic oscillation due to a restoring force Fr = -kx. In addition the particle is subject to a constant external force Fext = Fo. a) What is the differential equation that governs the motion of the particle? b) what is the general...

Hi, i'm trying to do this problem: ------------------------------------------------------------------- A tympani drum has a billiard ball of mass m resting in the middle. The billiard ball is displaced only vertically, very slightly from its equilibrium, and will oscillate vertically...

Ok so this is propably borderline college :) But it is the first college course I'm in so don't bash me if this is too basic for this forum. (btw hi I'm new) Well the question in the book is as follows: "A mass m is attatched to the end of a helical spring (spring constant k) which hangs...

Consider a simple harmonic oscillator. Calculate the time averages of the kinetic and potential energies over one cycle, and show that these quantities are equal. Next, calculate the space averages of the kinetic and potential energies. I'm completely confused about these terms. Time...