Homework Statement
A Particle of mass m is threaded on a frictionless rod that rotates at a fixed angular frequency Ω about a vertical axis. A spring with rest length Xo and spring constant k has one of it's ends attached to the mass and the other to the axis of rotation. Let x be the length...
Yes sorry I was onto other problems, it was just my teacher solved it very strangely by taking ratios, so I just let it go. Thank you for your help though.
Yes that is a minus, sorry. I was thinking about putting the phase equal to zero. I have the solution, i got the problem wrong, I just thought it would be helpful to talk about it and try to solve it on my own before looking at it. Right now I'm caught up in the Lagrangian but I will return to...
Yeah mate I have all the solutions, that isn't my problem. I am thinking it must be the underdamped oscillator, because the overdamping case doesn't oscillate harmonically, it is real, so the solution is just two exponentials. With critical damping, the solutions are imaginary so I am pretty...
Homework Statement
After four cycles the amplitude of a damped harmonic oscillator has dropped to 1/e of it's initial value. Find the ratio of the frequency of this oscillator to that of it's natural frequency (undamped value)
Homework Equations
x'' +(√k/m) = 0
x'' = d/dt(dx/dt)...
I understand the angular momentum is conserved but I don't understand the final term in the angular momentum. I can't find out anything, it's bewildering me.
Sorry my iPad edited this very poorly...4. A solid ball of radius R initially slides without rotating on a horizontal surface with a variable coefficient of friction. If the initial speed is Vo, find the speed when the ball begins to roll without slipping. Also find the energy lost due to friction
Hello, could somebody please explain to me why in 4 of these solutions, the angular momentum final term about point p is mVfR + Icmω ? It is in huge attached solutions my teacher posted.
Thank you very much in advance
Here is the problem in case you are interested of Horne context.
4. A...
Or excuse me a=dv/dt. I left the problem for a moment, but I feel like I should be using energy. I don't see a way to express the force unless I use spherical coordinates but that makes me a very hard problem and I am not if I should be in 3d.
I just used Newton's second law, GMem/R^2 = mdv/dt, then separated time to the LHS and integrated, but that this point I'm just kind of playing around with it, I actually got so mad about it I went onto another problem.