I am currently cramming for my physics final on Monday, and there are a few subjects that are giving me a bit of trouble. These subjects are also conviniently what the final is heavily based on. The main ideas I am having trouble with are rotational dynamics and oscillations.
So I am turning to all the physics geniuses out there. If you have any helpful hints or links to good websites, please share them.
Sorry. My physics posts are strictly limited to the purely theoretical. Took physics years ago and got through it by the skin of my teeth. In the semester on electricity and magnetism, it wasn’t until I was studying for the final that I finally figured out what voltage is. I can handle concepts OK, but don’t ask me to do the math. Shudder
Rotational physics is easy. Take the equations governing translational movement and substitute the rotational terms for the translational ones. Substitute [ul][li]angle for displacement[/li][li]angular speed for translational speed[/li][li]angular acceleration for translational acceleration[/li][li]Moment of inertia (rotational inertia) for mass (translational inertia)[/li][li]torque for force[/li][li]time remains time[/li][li]Energy remains energy[/li][li]Power remains power[/ul][/li]
For example
s=s[sub]0[/sub]+v[sub]0[/sub]t+½at[sup]2[/sup] becomes theta=theta[sub]0[/sub]+omega[sub]0[/sub]t+½alpha*t[sup]2[/sup]
F=ma becomes tau=I*alpha
Work=integral of Force with respect to distance becomes W=integral of torque with respect to angle
K=½mv[sup]2[/sup] becomes K=½I*omega[sup]2[/sup]
For kinetic energy, the first equation gives translational K.E., the second gives rotational K.E. Some objects, like a rolling ball, have both a the same time
This sort of substitution won’t work for mixtures of translational and rotational terms. (Don’t try it on tau= r×F )