Recent content by m0nk3y

Homework Statement I have a problem exactly like problem 4.10 in griffiths, however that problem is not being much help since it seems to me that they just plug in P(r). For those who do not have griffiths the question is: A sphere of radius R carries a polarization P(r)=kr where k is a...

Homework Statement Homework Equations The Attempt at a Solution I am not sure what to do with the -4q.(did something with this) I was thinking of ignoring it, and treating it like if it is really far away, however since it is only twice the distance from the origin as the two +q charges, i...

Thank you for your reply, Is there a way to prove this with math?

trig ID!

[SOLVED] GRIFFITH 3.18 Please explain how they got this Homework Statement The potential at the surface of a sphere (radius R) is given by Vo=kcos3\theta\where k is a constant. find the potential inside and outside the sphere. Homework Equations Their first step was: Vo(\theta) =...

Homework Statement In the example of the grounded conducting sphere in the uniform electric field (Ex. 3.8), suppose we keep the constant of integration in V for large r, so that V -> EorPlcos\theta + Vo the electric field at large r is unchanged. Find V outside the sphere under these...

Homework Statement c) For such a "symmetric" object, prove that any axis going through the center of mass is a principal axis. Homework Equations The Attempt at a Solution I am not sure how they want me to prove this. I was looking at the Displacement Axis Thm but I am not sure...

Yes! Thank you.

[SOLVED] ratio H/R to in tensor problem, just making sure i did this right Homework Statement What is the ratio of height to radius that you need such that all the diagonal elements of the inertia tensor along its diagonal are equal? Homework Equations The Attempt at a Solution...

got it! I feel so dumb spending so much time trying to figure it out in cartesian coord. Thank you so much!

so for Ixx will the integral be r^2sin^2(theta) + h^2 r^2sin(theta)dr d(theta) dz?? thank you

[SOLVED] Moment of Inertia tensor SETUP, not to difficult but can't figure it out Homework Statement a) For a cylinder of mass M, radius R and height h, calculate the inertia tensor about the center of mass. What are the principal axes? Homework Equations The Attempt at a Solution...

Homework Statement A grounded conducting hollow sphere of radius a contains a ring of radius b and charge per unit length \Lambda. The ring is coaxil to the z axis, and with the sphere lies a distance d about the center of the sphere such that d^2 + b^2 < a^2. Find the potential within the...

Thank you, that helped alot! I get finally get it now!

So I am asked to rotate by 45 degrees about the y-axis. With the power of the net i found that it is; [ cos(45) 0 sin (45); 0 1 0; -sin(45) 0 cos(45)] i really would like to understand HOW they get this. THANKS in advance!