Question

If L is a Lagrangian for a system of n degrees of freedom satisfying Lagrange’s Equations...

  1. If L is a Lagrangian for a system of n degrees of freedom satisfying Lagrange’s Equations of motion show by direct substitution that:

L’ = L + dF(q1,q2,…qn,t)/dt                                                                                          also satisfies Lagrange’s equation where F is any arbitrary, but differentiable function of its arguments.

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose the representative consumer’s preferences are given by the utility function, U(C, l) = aln C...
Suppose the representative consumer’s preferences are given by the utility function, U(C, l) = aln C + (1- a) ln l Where C is consumption and l is leisure, with a utility function that is increasing both the arguments and strictly quiescence, and twice differentiable. Question: The total quantity of time available to the consumer is h. The consumer earns w real wage from working in the market, receives endowment π from his/her parents, and pays the T lump-sum tax...
A particular system is found to obey the following two equations of state: T= 3As2/v P=As3/v2...
A particular system is found to obey the following two equations of state: T= 3As2/v P=As3/v2 where A is a constant. a. Find the fundamental equation of this system by direct integration of its molar total differential form: du(s,v)=Tds - Pdv . (This is an integration over multiple variables, but the variables are not independent of each other. Your solution will have only one term, not two.) b. Find the chemical potential \mu as a function of s and v...
Your task will be to derive the equations describing the velocity and acceleration in a polar...
Your task will be to derive the equations describing the velocity and acceleration in a polar coordinate system and a rotating polar vector basis for an object in general 2D motion starting from a general position vector. Then use these expressions to simplify to the case of non-uniform circular motion, and finally uniform circular motion. Here's the time-dependent position vector in a Cartesian coordinate system with a Cartesian vector basis: ⃗r(t)=x (t) ̂ i+y(t) ̂ j where x(t) and y(t)...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT