Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. solve the frictionless pendulum equation use runge

Solve the frictionless pendulum equation use Runge- kuta 4 or forward Euler ly'' = -g*sin(y) where g is...

70.2K

Verified Solution

Question

Advance Math

Solve the frictionless pendulum equation use Runge- kuta 4 orforward Euler

ly'' = -g*sin(y)

where g is gravitational acceleration and l is the length of thependulum. The function y(t) represents the angle of the pendulumwith respect to the vertial and y'(t0 the angular velocity. Youwill need to write the second-order equation as a system of twofirst-order equations, and you will need to write a function filethat will evaluate this system of equations. Plot the solutionsy1(t) and y2(t) on the same set of axes. Give an interpretation ofy2(t). Set the length to be 1m, and use as initial conditions aninitial displacement of pi/2 radians and a 0 rad/sec angularvelocity

Answer & Explanation Solved by verified expert
4.2 Ratings (823 Votes)
The Matlab scripts rk4sysmdydtSysm rk4SysSolverm areposted below along with the screen shot of the generated plot Runthe script rk4SysSolverm to generate theplotAlso note that the system of first order differential equationsare solved using Runge Kutta 4 numerical    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Why is the emission frequency lower than the excitation? What happens to the difference in energy?

Physics
Q

Elaborate on the concept of Corporate Governance and discuss the Governance Test

General Management
Q

Which of the following stages do anaerobic and aerobic cellular respiration have in commor chemiosmosis...

Biology
Q

1 mycology 2 bacteriology Match each of the options above to the items below 3...

Biology
Q

22 m VOLUME SURFACE 24 6 m 22 m

Geometry
Q

Determine if the following scenario is a binomial experiment If it is not binomial then...

Statistics
Q

Calculate these limits If the limit is o or oo write infinity or infinity If...

Calculus
Q

140000 $19000 363,200 121600 Assume that June's...

Accounting
Q

can you please explain in a detailed manner how to solve this? thank you. ...

Accounting
Q

1. Prepare condensed divisional income statements for the year ended December 31,20Y7, assuming...

Accounting
Q

the primary users of managerial accounting are a. internlal ( mangment ) b. external...

Accounting
Q

(5) will like SecuriCorp operates a fleet of armored cars...

Accounting