Thursday
April 24, 2014

Homework Help: Physics

Posted by Alphonse on Thursday, November 15, 2012 at 2:00am.

Calculate the ratio of the kinetic energy to the potential energy of a simple harmonic oscillator when its displacement is 1/8 of its amplitude. (The answer is an integer.)

Approach: Choose a specific trigonometric form for the position function x(t). It doesn't matter which since the answer doesn't depend on the initial conditions. Let the amplitude be 'A' (which will cancel when you compute the ratio). Determine v(t) that corresponds to your choice of x(t). Apply the given displacement condition to determine what your choice of x(t) was equal to (you don't need to try and compute a time: the result holds for any simple harmonic oscillator). From this directly compute the desired ratio. The trig identity sin2()+cos2()=1, which as discussed in class is equivalent to the conservation of energy here, will definitely be helpful.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Physics - A 245 g particle is released from rest at point A inside a smooth ...
Physics - Calculate the ratio of the kinetic energy to the potential energy of a...
PHYSICS - A hollow tube (I = MR2) rolls without slipping along the surface. The ...
college physics - Calculate the ratio (pure number) of the kinetic energy to the...
Physics kinetic energy - Okay the equation for kinetic energy is = 1/2mv^2 so ...
physics - a bowling ball has a mass of 8kg. if it rolls down the alley, without ...
Physics - Determine the ratio of the relativistic kinetic energy to the ...
Physics - A 1000kg space craft at 500m/s is on a collision course with a 400kg ...
Physics - A 1000kg space craft at 500m/s is on a collision course with a 400kg ...
Physics(checking answer) - Two 3.0g bullets are fired with speeds of 40.0 m/s ...

Search
Members