Question: PYTHON: Find the position, as a function of time, of a damped harmonic oscillator. The equation of motion is: m d 2 x/dt 2 =

PYTHON: Find the position, as a function of time, of a damped harmonic oscillator.

The equation of motion is: m d2x/dt2 = -kx b dx/dt, x(0) = 0.5, dx/dt (0) = 0

Take m = 0.25 kg, k = 100 N/m, and b = 0.1 N.s/m.

Solve x(t) for t in the interval [0, 10T], where T = 2/, and 2 = k/m.

Divide the interval into N = 104 intervals: ti = i*h, I = 0, 1, 2, , N, where h = 10T/N.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

PYTHON: We want to find the position, as a function of time, of a damped harmonic oscillator. The equation of motion is: m d 2 x/dt 2 = -kx b dx/dt, x(0) = 0.5, dx/dt (0) = 0 Take m = 0.25 kg, k =...

Q:

For a damped harmonic oscillator with c =2, m = kg, and k = 8.0 N/m a. write the force equation in terms of X", X', and X b. find 0 and c. write the equation of position as a function of time d. what...

Q:

Python Please 17.4 Damped oscillator The equation of motion for the damped harmonic oscillator is 3 -- 261 + wax = 0 with the frequency wo of the undamped oscillator and the friction coefficient y =...

Q:

We know from experience that most oscillatory movements that occur in nature gradually decrease until the displacement becomes zero; this type of movement is said to be damped and the system is said...

Q:

In MatLab 1. If you havent already, finish the problem we started in class on the Simple Har- monic Oscillator. In particular, modify your 2nd Order and 4th Order Runge-Kutta functions to accept a...

Q:

Can you provide solutions for the attached pdf? The answers are included, but I would like some assistance on the steps to get the answer. Thanks! MAT 275 TEST 2 PRACTICE PROBLEMS I. HODEs/IVP with...

Q:

Show all work clearly; answers without work receive no credit. Use g = 10 m/s2 For simplicity. Employ proper vector notation and include units in numerical answers. Written responses require...

Q:

The simple harmonic oscillator crops up in many places. Its behavior can be studied readily using analytic methods and it has the important property that its period of os- cillation is a constant....

Q:

F = -kx, (1)w : k/m. (4)1 Ei = 51065.9) We use Eq. (9) to calculate the energy data points {61.51) (t2,E2), ...}, as in Fig. 2(b), and then perform the regression analysis to find the characteristic...

Q:

15. How is the formula for Simple Harmonic Motion modified for when the motion is damped? What does increasing the damping coefficient do to the graph of the motion? B i U Font Family 16. What...

Q:

Graph the binomial distribution for the following cases: a. n = 6, p = .2 b. n = 10, p = .5

Q:

Blueprint Problem: Payback and accounting rate of return Companies use capital investment analysis to evaluate long-term investments. Capital investment evaluation methods that do not use present...

Q:

What is the value of an income statement?

Q:

client report for wolf and company

Q:

5. Pick a general topic, and try to come up with several different attention getters for that topic. Heres an example for the topic dogs: c Did you know that the human mouth contains more germs than...

Q:

Methods of Delivery Guidelines for

Q:

Choose a delivery style best suited to you and your speaking situation