Homework Statement
A test tube filled with water is being spun around in an ultra centrifuge with angular velocity ω. The test tube is lying along a radius, and the free surface of the water is at a radius r0.
(a) Show that the pressure at radius r within the test tube is P =...
If Iz is through the center and perpendicular to the faces, Ix is though the center and parallel to the faces and Iy is through the center and parallel to the faces (but at 90 degrees to Iy)
So Ix is what I want to find
Iz = (1/2)MR2
Iy = (1/4)MR2
Ix = Iz - Iy = (1/2)MR2 - (1/4)MR2 =...
Thanks for the tips. I think I'm missing something in my understanding...
If I let Iz be that of a full disk about its axis, you mean through its center and perpendicular to its faces, correct?
The math works out in that case and I get Iz = (1/4)MR2 but it seems to me that that is...
1. Question:
What is the moment of inertia of a thin, flat plate in the shape of a semicircle rotating about the straight side (Fig. 12.28)? The mass of the plate is M and the radius is R
The diagram is attached for reference.
Homework Equations
Moment of Inertia: I = ∫R2dm...