Recent content by jameshaley

Yep it's just all clicked! I understand now. Thank you

Thank you for the reply''Your Cartesian solution is r(t)=1 and θ(t)=t in polars.'' I'm struggling a bit to understand why this is. r(t)=1 =sqrt(x^2+y^2) =sqrt((cost)^2+)sint)^2) And for θ(t)=t I thought arctan(y/x)

d/dt(∂L/∂x')-∂L/∂x=x''-x/sqrt(x^2+y^2)=0 d/dt(∂L/∂y')-∂L/∂y=y''-y/sqrt(x^2+y^2)=0 worked out where I went wrong on this, missed the minus' d/dt(∂L/∂x')-∂L/∂x=x''+x/sqrt(x^2+y^2)=0 d/dt(∂L/∂y')-∂L/∂y=y''+y/sqrt(x^2+y^2)=0

Homework Statement Consider the following Lagrangian in Cartesian coordinates: L(x, y, x', y') = 12 (x^ 2 + y^2) -sqrt(x^2 + y^2) (a) Write the Lagrange equations of motion, and show that x = cos(t); y =sin(t) is a solution. (b) Changing from Cartesian to polar coordinates, x = r...

Homework Statement How many necklace with 5 white beads and 5 black beads can be constructed? Homework Equations Circular Permutation problem The Attempt at a Solution] I did 10!/5!5!=252 but from there I didn't get anywhere. I know this includes repeats from rotational...