Hi, I am working through the Feynman lectures on physics and trying to calculate the moment of inertia stated in the title.
(the taxis of rotation going through c.m., orthogonal to length).
My approach is to slice the cylinder into thin rods along the length, using the parallel taxis theorem...
OK I have no idea how to work this out. I've googled bending radius but it doesn't really help a great deal.
It's the 2nd part of the last question:
http://img535.imageshack.us/img535/4774/10579351.jpg
There's nothing in my notes about it, but I guess it has something to do with how...
Homework Statement
A 3.20 kg block is attached to a string that is wrapped around a 1.17 kg, 4.08 cm diameter hollow cylinder that is free to rotate on an axel through the center. The block is released 1.09 m above the ground. What is the speed of the block as it hits the ground...
A hollow cylinder is .012 m long and has an inner radius of 0.005 m and an outer radius of .0175 m. Treat each surface (inner, outer, and the two end faces) as an equipotential surface.
Resistivity of material making the cylinder = 9.68 x 10^-8 Ohm*m
1. At room temperature, what will an...
Homework Statement
What is the equation for the torque of a cylinder, a hollow cylinder, and a sphere rolling down an incline?
Homework Equations
This is what I don't know
The Attempt at a Solution
I have no idea where to start.
Homework Statement
Using cylindrical coordinates rho,phi, and z, let u([rho,phi) denote steady temperatures in a long hollow cylinder a leq rho leq b, -infinity < z < infinity when the temperatures on the inner surface rho= a are f(phi) and the temperature of the outer surface rho = b is zero...
Hello,
Does anyone know of (or have a link to) an equation for the electric field at any point inside a a hollow cylinder shell of finite length?
thanks,
Homework Statement
A hollow cylinder (hoop) is rolling on a horizontal surface at speed v= 3.3 m/s when it reaches a 15 degree incline. (a) How far up the incline will it go? (b) How long will it be on the incline before it arrives back at the bottom?
Homework Equations
Energy...
Homework Statement
Consider a long hollow cylinder of radius b that is divided into equal quarters with alternate segments being held at potential +V_0 and -V_0 .
a) Find the potential inside the cylinder.
b) Sketch the equipotentials.
Homework Equations
Is this an application...
Consider a hollow cylinder rolling down an inclined plane, without slipping. I know that the rolling friction does no work on the point which is in contact with the cylinder, since that point must be at rest since we have rolling without slipping, but isn't the ENTIRE BODY still moving, so the...
Im trying to solve Helmholtz equation
\nabla ^2u(r,\phi,z) + k^2u(r,\phi,z) = 0
in a hollow cylinder with length L and a < r < b
and the boundary conditions:
u(a,\phi,z) = F(\phi,z)
u(b,\phi,z) = G(\phi,z)
u(r,\phi,0) = P(\phi,z)
u(r,\phi,L) = Q(\phi,z)...
I need help finding the moment of inertia for a hollow cylinder with a closed bottom (like a glass of water). My strategy is to add the moments of inertia of the cylinder and the disk but I only have the total mass of the whole object. Is there a way to find the mass of each part or is there...