Question: 4. (a) Plot the quantity E = 1/2mv2 + 1/2ky2 as a function of time. What do you observe? Is the energy conserved in this

(a) Plot the quantity E = 1/2mv2 + 1/2ky2 as a function of time. What do you observe? Is the energy conserved in this case?

(b) Show analytically that dE/dt < 0 for c > 0 while dE/dt > 0 for c < 0.

(c) Plot v vs y (phase plot). Comment on the behavior of the curve in the context of the motion of the spring. Does the graph ever get close to the origin? Why or why not?

I am haveing trouble understanding what to do for question B?

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 Mathematics Questions!

2. The energy of the mass-spring system is given by the sum of the potential energy and kinetic energy. In absence of damping, the energy is conserved (a) Add commands to LAB05ex1 to compute and plot...

LAB05ex2.m clear all; % clear all variables m = 1; % mass [kg] k = 16; % spring constant [N/m] c = 2; % friction coefficient [Ns/m] omega0 = sqrt (k/m); p = c/(2*m); yo =0.3; v0 = -0.8; % initial...

The energy of the mass - spring system is given by the sum of the kinetic energy and the potential energy. In the absence of damping, the energy is conserved. ( a ) Add commands to LAB 0 5 ex 1 to...

2. The energy of the mass-spring system is given by the sum of the kinetic energy and the potential energy. In the absence of damping the energy is conserved (a) Add commands to LABO5ex1 to compute...

Please help with answers and MATLAB code LAB05ex2.m is attached, thanks! 4. (A) Modify LABO5ex2.m to compute and plot the quantity E = masky as a function of time. What do you observe? Is the energy...

4 . ( a ) Modify LAB 0 5 ex 2 . m to compute and plot the quantity E = 1 / 2 mv ^ 2 + 1 / 2 ky ^ 2 as a function of time. What do you observe? Is the energy conserved in this case? Include the plot....

PLEASE ANSWER USING MATLAB!! THIS IS DUE TONIGHT THANK YOU!!! 4. (a) Plot the quantity E-smu4 ky2 as a function of time, what do you observe? Is the energy conserved in this case? (b) Show...

2 . The energy of the mass - spring system is given by the sum of the kinetic energy and the potential energy. In the absence of damping, the energy is conserved. ( a ) Add commands to LAB 0 5 ex 1...

THERMODYNAMICS: Explain the math in the reading and how it relates to calometry in layman terms EXPERIMENTS 6. Heats of Combustion 7. Strain Energy of the Cyclopropane Ring 8. Heats of lonic Reaction...

a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...

Give the major product of each of the following reactions: a. b. c. d. CH3 OH + HCI CH CH3 OH CH CHCH, + HCI

Describe the key provisions of The Rule under COPPA.

1 1 . ) Consider a pool of mortgages totaling $ 1 , 0 0 0 , 0 0 0 . The interest rate is 7 % and the mortgages are amortized over five years making yearly payments. Like we did in class, convert this...

i need help, solve and show work: I tried to solve and it is not the following 2.50 2.47 2.45 2.74 Problem 2-21 Municipal Bond Interest (LO 2:10) would provide the same after-tax return to Vandell?...