Recent content by Mikesgto

Well T=1/s which is included in my original Pi group of g/(T^2*L). But once I have one pi group, which is all I can have because I have 4 variables and only 3 basic dimensions, how do I go about relating that to solving for the variables? Correct me if I'm wrong, but mass should not play a...

Ok so perhaps my attempt wasn't completely written above. I wrote down all the units, namely meters, m/s^2 for gravity and kg for mass. That's the only pi group I can think of but then I can't figure out the steps to solve for 3 individual exponents.

The period T of a pendulum of length L, mass m in a gravitational field g ms-2 is suspected to be a function of L, m and g. If it is postulated that T=KLxmygz where K is a dimensionless constant, use dimensional analysis to obtain the constants x, y and z. There's only one pi group I came up...

Homework Statement 11(t+1)dy/dt-7y=28t y(0)=13 Homework Equations The Attempt at a Solution I got µ(x)=1/(t+1)^(7/11) and then used 28/11(t+1)^(7/11)*integral of t/(t+1)^(18/11) dt. And that's where I'm stuck.

Thanks so much for all the help. The next part of my solutions are finding out F(s). Do I treat the -3t attached to the U9(t) as my f(t)?

ok, so the next problem i have is attached and the solution i came up with is 3t-3tU9(t) Am I on the right path there?

5t-5U6(t)(t-6) I got this one after a ton of work, but I am failing to grasp the concept going behind this.

Homework Statement The attachment is the problem. Homework Equations The Attempt at a Solution I understand how to go about solving the laplace transformations but I have no idea how to start with the Heaviside functions for the 5t and the 30. What I got was 5t+30U6(t) but it turned...

Homework Statement y''+7y'=392sin(7t)+686cos(7t) with y(0)=4 and y'(0)=9 Homework Equations No real relevant equations The Attempt at a Solution I assumed since the g(t) has function of both sine and cosine the solution would be both the real and non real parts of the solution to...

Homework Statement In the circuit below find the current I3 (in A) when R1 = 12 Ω, R2 = 78 Ω, R3 = 30 Ω, R4= 69 Ω, R5 = 72 Ω, and V = 66 V. https://s4.lite.msu.edu/res/msu/mmp/kap20/picts/hkirch2.gif Homework Equations V=iR 1/Rtotal=(1/R1+1/R2...) The Attempt at a Solution I...

Thanks a lot! It was kind of a messy derivative but I am so thankful you helped me out. :)

And also once I messed up enough the hint was that "A necessary condition for the potential to have a minimum is that its derivative is 0." But the derivative of what? The only thing I can think of is the V(r)=kQ/r

So wouldn't the "electrostatic potential at the surface of sphere B" be the same as A? I think the online homework expects an answer in joules which I don't really understand.

I thought the potential would be the same as well, but after I calculate the potential of the surface of the larger sphere, what charge should I use for the total? The answer I got for the surface potential of sphere B should be added to the surface potential of sphere A and that should be the...

Is there no one that can someone shed some light on the subject? Just clear things up is all.