Say for example I have a hollow cube with equal length/width on all sides. Let's also assume that the outside walls of this cube is unbreakable / perfect insulator / unable to deform in anyway.
Now let's assume that we put a divider in the middle of the hollow cube of a certain thickness. The...
Homework Statement
y''x^{2} + 4xy' -y = ln(x)
The Attempt at a Solution
-I considered the quadratic characteristic equation, but it won't work because of the x^2
-I also tried variation of parameters.
so i have v = y' and v'=y'' but i have no idea what i would sub when I get to y.
any...
Hi, I am working on my differential equations excercises and I encountered 2 problems.
First one is, I just wanted to check if I did this implicit differenriation right
Homework Statement
t^{2} \bullet y +y^{2} = C where is is a constant
The Attempt at a Solution
My solution is
y...
ok i did that, there are no horizontal forces (and by horizontal i mean forces parallel with the wall).
As for vertical forces I found them to be 87.5 on each side of the pin opposing the direction of the pulling force
Homework Statement
#16Homework Equations
F=kx
and sum of all the vertical and horizontal forces each has to = 0The Attempt at a Solution
Because each end of the spring is like a pin it has an opposing force of 175/2 N on each end to balance out the 175N being pulled in the middle.
So I took at...
Homework Statement
A certain atom of has 89 protons. Assume that the nucleus is a sphere with radius 7.11e-15 m and with the charge of the protons uniformly spread through the sphere. At the nucleus surface what is the magnitude of the electric field produced by the protons?Homework Equations...
Okay I kinda get it
but why do they (planets or whatever it is that is orbiting e.g. satellites around Earth or something) rotate and not just sit there?
I see what you mean there. So that means given a perfect condition where the center of mass of the ruler is EXACTLY in the center point (point of rotation) so that means left side of ruler = right side of ruler in terms of mass, given those conditions no matter where the ruler stops spinning...
So the situation is like this a ruler (of uniform mass) is pinned to a nail through its center. The has very little friction so it will spin but come to a stop. Initially it is at rest and is sitting perfectly horizontal (so that means the center of mass is at the center of the ruler).
Now I...
We started learning about gravitational force and how gravity is different everywhere. But than we talked about circular orbits and how we can find its period and such
So to remain in circular orbit the gravitational force between 2 planets pull each other, but doesn't those opposite reaction...
Homework Statement
Why is angular momentum conserved?
Homework Equations
\vec{\tau}= \vec{r} x \vec{F}
magnitude of \tau = I \alpha
The Attempt at a Solution
I first don't agree on why angular momentum is conserved, because if the radius change doesn't that change the torque?
And by...
I was watching a video on where this guy spins a a dial or capsule or a cap (I couldn't really tell, but it was like a long thing cylinder capsule look a like) and well he gave it a quick push and the cap came to a stop and than reverses direction.
What could cause this?
I know that...