Recent content by hutchphd

I believe the x and y motions are due to creation of direct thrust imbalance. In fact this is easy to confirm if you have one: just rotate it off x axis and note the response. If you wish to discuss the formulae you must point me to specific equations.....preferably numbered....otherwise...

It is not what produces this velocity. It is drag from rotors Suppose you increase ##\omega_1 , \omega_4## ? This will both increase lift and create clockwise rotation of the body (yaw) because of increased prop (rotor) drag. Suppose you decrease ##\omega_2, \omega_3## ? This will both...

What does "precisely" mean quantitatively? How good is your handiwork? If you can rotate the piece while grinding this can be quite precise.... or touch it up at the finish somehow by rotation.

Are all the screws identical (i.e. interchangeable) ? I like to use corrugated plastic (mounted on end) to hold small screws and bits. Just purloin an annoying red yard sign. And use your hands directly to do the difficult manipulations. I usually prefer sticking a small rare earth magnet...

perfect

there you go. Note thisw will also be a problem (multiple roots) for small but finite R where the solution is a decaying oscillation. The result will no longer be exactly cyclic, but may yield several posible roots before the energy is dissipated in the resister. I could make a nastier...

You need to adjust inhomogeneous solution to make is match. You can always add any homogeneous solution to the particular solution to match the boundary condition.

Given the "no loss" (zero resistace) clause in the question, this circuit will oscillate asy ou described . There will be cyclic repeated times when this energy division occurs and the question is therefore incomplete. Prof gets a Fail.

Yes. This arrangement allows longer use of the basttery at the end of its (charge) lifetime as the terminal voltage declines.

I agree with @berkeman that this isually bad practice. Just use 2 cells in series (what does the third actually do for you?) Shortly before my departure from the company, I once spent most of an afternoon trying to convince my idiot boss that no, one could not get more energy out of a batttery...

What is the sound of one hand clapping ? You need to ask the Zen forum. Here folks do math. The concept of "phase" refers to each harmonic componenti ndividually. Unless and until you understand the math of Fourier analysis, youe will be confused. and stay confused. What you are saying...

Might I suggest that sound is rather a complicated system, as is light This is why most textbooks initiate the study of wave behavior using transverse waves on a tensioned string. I would recommend a similar approach for your edification. Otherwise it rapidly becomes the study of everything...

Absolutely . You need to be able to really understand and manipute Fourier synthesis to be conversant in this subject. In that sense the phase is a well defined entity and is "the same" for every circumstance. For instance an acoustic phase shift proportional to frequency will simply shift...

When one has doubt there are good ways to allay it. In this case can you provide for yourself another good plausability argument (The one you use is good enough for me...). Conversely you could assume that the alternative answer is correct and show it leads to nonsense like perpetual motion...

This is absolutely true but only for transients. Please see #7 above. All isolated conductors have a "self-capacitance" and will absorb or emit charge to match the local electrical potential. This is why one recieves a shock when discharging static buildup through a single finger. Such...