Momentum Equation Homework: Questions & Solutions

  • Thread starter Thread starter oxxiissiixxo
  • Start date Start date
oxxiissiixxo
Messages
27
Reaction score
0

Homework Statement


The questions are in the attachment. please help!

Homework Equations


M term is the diffusion.


The Attempt at a Solution


for the right hand side terms, it is just adding another velocity term, however on the left hand side term, i dun understand y there will be a 1/2 since momentum equation is just substantial derivative of velocity.
 

Attachments

  • untitled.JPG
    untitled.JPG
    22.5 KB · Views: 436
Physics news on Phys.org
oxxiissiixxo said:
… on the left hand side term, i dun understand y there will be a 1/2 since momentum equation is just substantial derivative of velocity.

Hi oxxiissiixxo! :smile:

Because D(vivi)/Dt = … ? :wink:
 

Thread 'Direction of the magnetic field of an oscillating charge'

Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
View full post »

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Similar threads

Why Does the Right Hand Side of 5.18 Only Have Two Derivatives?
Replies
2
Views
2K
Fluid Mechanics Force Body Diagrams
Replies
16
Views
3K
Equation for neutrons in a nuclear reactor
Replies
0
Views
1K
Solving for X's Baryon & Lepton Number
Replies
7
Views
2K
Finding the relationship between magnetic momentum and angular momentum
Replies
5
Views
2K
Solve these two coupled first-order differential equations and sketch the flow
Replies
2
Views
2K
Multi-Particle QM Homework: Hamiltonian & Vacuum State
Replies
5
Views
2K
Commutativity of partial and total derivative
Replies
23
Views
6K
Dimensional analysis of an equation of motion
Replies
6
Views
2K
Help understanding modal projection in PDE with assumed solution form
Replies
4
Views
899

Hot Threads

Recent Insights

Back
Top