right my equation is? P0*g*l3*y'' - y*pw*g*l2 + p0*g*l3=0
this has the solution y(t)= A * cos (w*t + \phi)
so how do i figure out \phi
I know \omega from F=Fb which gives me \omega= sqrt (pW*g/pO*l)
ah, that makes sense. now that i have this equation with something equaling m* a
do i just take the second integral of both sides to get the y(t) function?
Homework Statement
A cork with a density \rho0 in the form of a cube of side length l floats on water with a density of \rhow. The pressure in water depends on depth h from the surface as P=\rhow *g*h.
A. Find the equilibrium depth of the bottom surface of the cube (how much length is below...
ok taking the integral of that yields
Q\int\frac{dE}{dn} = -2\pi \int E
and the integral is from 0 to 100 because you want to get the energy after 100 oscillations right? but Ef is a fixed value, so how do I take an integral over this? I think it should go to this:
Q Efinal \int\frac{1}{dn}...
I set it up as Q= 2* \pi \int0.003425/0.000845 dn from 0 to 100 so I think I forgot to numltiply by 100, so then I would get 2,545.. that doesn't seem right
ok so I should have E= 0.003425 Joules and the integral should be from 0 to 100, which would give me a Q factor of 25.45. Then use
Q=\omega 0/\gamma to give me \gamma=0.033
Ok, so is this an exponential decay? The E=E0*e-y*t and the energy level is 1/100 so 1/100=e-y*t. But then I don't know the time...
or do i want the situation where the final energy is given my the velocity of the weight? In which case Efinal = 0.5 * m * v2 Where Efinal=0.000845 Joules?
and I...
Right I meant omega naut so that is right
that was supposed to be pi so ω= 2*\pi*f
Well Q is a dimensionless quantity, it represent the ratio of Energy stored to Energy lost. I also know that for large values of Q, Q= about number of oscillations.
Q= 2*\pi*f*\stackrel{Energy...
Homework Statement
A 100g mass is suspended on a rubber band with a k coefficient of 2.74 N/m. The original amplitude of the oscillations is 5cm and after 100 oscillations, the maximum speed of the weight is 0.13 m/s. Find the damping coefficient y.
Homework Equations
d2x/dt2 + γdx/dt...
Homework Statement
You have the following graphs, the lines represent the freezing points. Explain each situation. (I am supposed to use some equations, not just wording)
Homework Equations
The Attempt at a Solution
I was told I should use Maxwell's equation. Problem is, I...
Homework Statement
You have two parts of a tank, divided by a divider. On the larger side, you have 4 mol of N2 gas and on the smaller side you have 1 mol O2 gas. Both gasses are are the same T and P. The divider is removed and the gasses mix.
What is the final T and P?
What is the...
1. Homework Statement
Here is the picture with the arrows representing Electric Fields.
a. Can you find any test charges on the xy plane? Where?
b. Where can you find a magnetic field?
2. Homework Equations
No idea...
Amperes Law?
3. The Attempt at a Solution
I just...