Cool, so {{u'}_y} = \frac{{ - \frac{c}{2}}}{{{\gamma _{\frac{c}{2}}}}} = \frac{{ - \frac{c}{2}}}{{\frac{{2\sqrt 3 }}{3}}} = - \frac{{\sqrt 3 }}{4}c and the electron in the lab frame has a velocity of \frac{{\sqrt 7 }}{4}c in a direction 49.1 degrees to the initial photon trajectory.
So the...
I'm not even sure I can imagine the ball rotating about the instantaneous axis AB, and I have no idea how to visualize the trajectory of either of the contact points of the ball :( Obviously it will be a circle but I'm not sure how to figure out the radius of said circle
An interesting response no doubt but I was referring to a particle of mass 'm' and speed 'u', this was the first part of the question - before a photon got involved!
Hey, this question did not come with a mark scheme and I want to make sure that I am going about it in a correct manner, please could someone check what I've done (and answer a couple of questions I have raised)? Thank you in advance! :D
Homework Statement
Give expressions for the total...
I'm not sure how to 'check how far it proceeds in one revolution' Could you please tell me what the angular velocity in the second case should be - so that I can understand exactly how you worked it out?
I found omega like so v = a\omega \Rightarrow \omega = \frac{v}{a} \Rightarrow \frac{{d\omega }}{{dt}} = \frac{1}{a}\frac{{dv}}{{dt}} That^ is actually the result I used in the first derivation - but I'm not sure if it applies in the second scenario because the ball is rotating about a...
1. Homework Statement [/b]
The question is B7 here: http://www-teach.phy.cam.ac.uk/dms/dms_getFile.php?node=7787
I managed to derive the acceleration required in the first part, but the second part is giving me trouble.
Homework EquationsThe Attempt at a Solution
I have calculated the moment...