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...
HELP! Dont understand question
Homework Statement
A puck slides with speed v on the surface of frictionless ice. The surface of the ice rink is "level" in the sense that it is constructed such that the sum of the effects of gravity and the centrifugal force, together with the normal force...
[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...
Show that the Coriolis force makes the puck move in a circle as seen in Earth's rotating frame
I need help setting this up!
Homework Equations
-2m\varpix v
The Attempt at a Solution
So far i have a drawing
The Earth on an xyz axis, z up, y across, and x in an out of paper.
the puck is on...
[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...
[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...