Recent content by phys

Ah yes sorry .. I meant x' Thanks

Thanks ... I think you just ignore the initial velocity. i.e. assume its starts from rest Have I worked out the time to hit the ground correctly ?

Ah yes! knew i'd made a stupid mistake somewhere - thanks for pointing out! Just to check... the translational velocity of the C of M is v' and therefore the rotational velocity w is x'/R? thanks so much

It is rolling on a flat horizontal surface

Thanks ... for the lagrangian i thought the KE would be rotational KE of the cylinder which is 0.5Iw^2 plus the KE of the mass = 0.5m(x2'^2+y2'^2) w^2 = v^2/R^2 since no slip I have attached my working ... am I doing this really wrong?

Homework Statement A point mass m is fixed inside a hollow cylinder of radius R, mass M and moment of inertia I = MR^2. The cylinder rolls without slipping i) express the position (x2, y2) of the point mass in terms of the cylinders centre x. Choose x = 0 to be when the point mass is at the...

I'd be extremely grateful if anyone could help me with this ... its mainly part iv) that I'm stuck on but the other parts build up to it! Thanks very much! 1. Homework Statement I have a wheel shaped space station of radius 100m rotating about its symmetry axis (defined to be the z axis) at...

Homework Statement I have the following question (see below) Homework Equations The eigenvalue equation is Au = pu where u denotes the eigenstate and p denotes the eigenvalue The Attempt at a Solution I think that the eigenvalues are +1 and - 1, and the states are (phi + Bphi) and (phi-Bphi)...

and now with the image!

Thanks everyone! The two loops are actually one loop - in the sense that it is one piece of wire. I want to work out the pd between the two points which are at the bottom - I think that an equivalent circuit is the diagram below. I therefore want to work out the pd between the two points that I...

The bottom point of each loop

would be really grateful if someone could help throw some light on this - its probably really simple but I am typing myself up in loops! I have a piece of wire which is placed in an external AC magnetic field which is varying sinusoidally. The wire is folded to make two rings of radii r1 and r2...