Recent content by kataya

What? This is purely mechanical. You want to find x(t), the time history of the block (print head). The best way to do this is to write it as a differential equation and solve that. So.. Mx'' = \Sigma(forces) = -bx' - kx + \frac{\tau(t)}{r} You can then put this in state space (just define...

I have been messing around with Lisp for a few days now, and I have run into a recurring problem with trying to execute multiple things on given conditions. In all other programming languages I have ever worked with, conditional blocks can always be defined with {} or some other delimiter, such...

For the first part you need to use the parallel axis theorem. It states the following: I_{p}=I_{cm} + mk^{2} Where I_{p} is the mass moment of inertia about any point, I_{cm} is the mass moment of inertia about the object's center of mass, and k is the distance between the object's center...

The general rules for these asymptotic plots are: -Poles cause -20db/decade slope at omega = a, where the the pole is \frac{1}{s+a} -Zeros do the opposite, +20db/decade at omega = a, the zero is s+a -Integrators and differentiators must have a value of zero db at omega = 1. Other than that...

You have a pole in the transfer function and an integrator, so to solve it if you are unsure split them up into two separate transfer functions and add the graphs. First put the transfer function in familiar form: G_{1}(s) = \frac{100}{(s+10)} and G_{2}(s) = \frac{1}{s} For...

a) Can you venture a guess as to what the pigeons and holes are?b) Natural numbers are countable, but that does not mean that all functions on N are countable. There are definitely an infinite number of functions mapping N to N, and there is no way to write them such that they could be counted...

For two phasors a and b, with magnitudes of A,B respectively and phase angles of \phi_{a) and \phi_{b}, the angle of the sum of the phasors (call it p) has a magnitude of: P^{2} = A^{2} + B^{2} , and a phase angle of: \phi_{p} = -tan^{-1}(\frac{B}{A}) The magnitude identity makes...

That is correct.

That seems strange to me, but maybe he is right. If the two pieces of the rod are of equal length, then it would have the same moment of inertia, but if one is longer than the other (like a distorted V shape) then I don't think that it would be the same. The moment of inertia is a measure of...

I don't know if that would work. How could you find the center of mass if you don't know the dimensions of body BC? They only give you the location of its endpoints. The way that I had in mind was to find the acceleration of points B and C and then solve for the angular acceleration of body BC...

Okay then for a constant acceleration you can find the angle it rotates after a given time without having to take the forces into account.

One problem you might be having is that in your problem description you wrote: Rod AB always rotates at 0.5rad/s CCW and accelerates at 0.1rad/s2 CW This does not make any sense the way it is written, because the rod cannot "always" rotate one direction at a given speed while it is...

I would recommend materials science engineering (MSE) as a major if you want to get into field related to nanotechnology. I am currently an aerospace engineering student at Georgia Tech, and several of my friends are MSE's. Their coursework is all about developing and controlling processes at...

a) You don't need the masses for this. The expression: \theta - \theta_{o}= \frac{1}{2}\alpha^{2}t + \omega_{o}t will give you the angle you need. b) You can find the acceleration of the collar through rigid body dynamics: a_{A} = a_{B} + \alpha\times r_{B/A} - \omega^{2}r_{B/A} Where...

So break up the problem. There are several requirements: Takeoff: This is two parts in itself. The first of these is liftoff: Lift on a surface is: L = C_{L}q_{\infty}S You need to find a good chart of C_{L} vs. \alpha. A good place to start would be the NACA airfoil database. Search...