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Homework Statement
A particle of mass m is connected by a massless spring of force constant k and unstressed
length r0 to a point P that is moving along a horizontal circular path of radius a at a
uniform angular velocity ω. Verify the LagrangeFunction!
Homework Equations
Could there be a typing error in the book (the book provided the solution which can be seen in the file "function.png". My own solution just differs in the term with r and has 1/2*m*r^2*theta' instead of 1/2*m*r*theta' like shown in the book. However i think my solution is right or can anybody find a mistake?
The Attempt at a Solution
x[1](t):=a*cos(omega*t)#`this is the xcoordinate of P
y[1](t):=a*sin(omega*t)#`this is the ycoordinate of P
x[2](t):=x[1](t)+r(t)*cos(theta(t))#`this is the xcoordinate of m
y[2](t):=y[1](t)+r(t)*sin(theta(t))#`this is the ycoordinate of m
T := (1/2)*m*((diff(x[2](t), t))^2+(diff(y[2](t), t))^2)
V :=(1/2)*k*(rr[0])^2
L=TV
I attached a drawing of the exercise and two lagrange functions (from the book and my solution) and a Maple file for convenience.
Homework Statement
Homework Equations
The Attempt at a Solution
Attachments

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