Recent content by MathYew

Ok, here's the original form of this problem. Maybe it will make it more interesting. =) A submarine sonar man hears a ship propeller noise at a certain angle from the still submarine (AOB - angle on bow). He makes timed observations of the AOB. Considering that the RPM of the propeller is...

I think so, too. It seems obvious, there must be some intrinsic connection between these angles, but how to express it mathematicaly...? Some collegues of mine told me, it could be easily solved (with the law of cosinuses, I think) if one more parameter was given. Like the distance of the line...

Hi, I'm a mathematics analphabet, but still, sometimes I come across a problem, that I just can't keep away from. I hope someone finds this one worth a thought. Here it is: An observer is looking at a long object with marks spaced equally along its length (like a measuring rod or a...

I think the sizes of drops in this case would be at least partially determined by the fragmentation of the filament during the "burning-out" and would probably depend on the weak spots in material - thicknes and local resistivity. But also on a thousand of other more kinetic factors, I think...

I just thought of another clue, which I think disproves the possibility that the spark came from the inside of the bulb... As my college put it, it flew out in an arc. Glass even if it was molten, would still be quite viscous and so, would probably stop the droplet completely. Well whatever. I...

I agree, but his explanation at the moment is that the droplet, smaler than the thickness of the glass, might have made it's way through, sealing the hole behind it and not leaving a noticeable mark. (He didn't investigate thoroughly...) Sounds incredible to me, but it'd be fascinating if it was...

Hi, a friend of mine - a college physics professor, and me, have had a discussion about an experience he had in his early school days, and we haven't been able to prove or dissprove what he thinks he saw. During an incandescent light burn-out (12V bulb on 220V =), he thinks he might have...