I'm sorry, here in denmark we use F for force, and s for distance. I take it you use f for force and d for distance of course .. in my previous calculations, s=d :)
Maybe something along this, since it is a no-calc approach;
W=F*s
W=m*a*s with angle of attack =0, as with kinetic energy
we have from equation of motion that s=1/2*a*t^2
and also v=a*t
t=v/a
inserting in motion equation;
s=1/2*a*(v/a)^2
inserting this in work formula...
I am trying to write a java program to simulate the motion of a projectile undergoing a drag proportional to the velocity squared, but i am having some issues writing the acceleration part. This is my attempt, not sure if its right though;
a=g-kv^2
da/dt=-k dv^2/dt
since dv^2/dt=2vdv/dt...
I have now studied the present material on this subject, and it seems that the torque at a given point in a rod created by gravity can be thought of as the torque from the entire gravitational force affecting the mass of the rod placed in it's center of gravity. This is not so obvious to me, and...
I've always seen attempting to create my own models in physics as a fun and enriching pastime, even though my models should come out wrong :) This time i have attempted to model the torque in a non-massless rod affected by gravity.
This expression is with the force of gravity acting...
Homework Statement
> a[1], a[2], a[3], .. , a[n] are arbitrary real numbers, prove that;
abs(sum(a[i], i = 1 .. n)) <= sum(abs(a[i]), i = 1 .. n)
Homework Equations
The Attempt at a Solution
I have uploaded my attempt as a pdf file, since I'm not too familiar with the...
Thank you! My mood is slightly better than the beginning of this thread hehe :)
But - have any of you guys struggled with the material in the first 5-15 hours of your real analysis courses? Be cause i sure am .. Can one get better at doing proofs, or is it just some native ability you're born...
I apologize for not getting back to you, but I've had a lot on my plate the last few days - especially after the visit at the professor's.
So i went for the meeting, and it turned out really nice! There were no examination, no "trying me out" or anything.. we just spent 2.5 hours talking...
I think are you are right - i apparently posses a very warped view of the working process of a mathematician. Maybe my problem roots in the fact, that i have no idea about how a mathematician works - and yes you are right I thought that a mathematician was like the guy in a beautiful mind...
Well - i am really grateful for all you help! I had never imagined, when i started this thread, that i would get so many good quality answers.
I have decided to just go ahead, and go as far as my head can take me. I will pursue everything i can, and do my best - i guess that is all i can do...
May i ask what issues you had? And which carrier path you chose? And how advanced you were at my age?
I know the last question is inappropriate - but i think i need some facts, that tell me i can do this. The issue here is that a lot of people, people who hold math phds or proffessorships, tell...
Also, i might have put one of my statements in a bad way - the issue is not the fact that i may become a bad mathematician. I can definitely live with that - as long as i CAN become a mathematician. That is my fear - spending 6 years in uni, and then lacking the intellect to complete my...
I must say, you guys have really helped me to get a better view on all this. You have encouraged me to at least attempt a shot at my dream. I will do everything to get the education i need - if i even make it to my masters that is.
And you might also be right about the iq thing - i sat down...
Well - you guys might actually be right. I don't know if i am actually depressed, but i certainly do have problems with self-esteem. I think too much about stuff - and i set my aims too high. I have an underlying psychological law, that dictates me to have success in what i do. I must be good at...
You may very well be right - but the issue is, that most high-iq people say this :) I do not know whether is should take it as the truth or just modesty. I really do hope you are right - maybe all is not lost for me.