Rutgers Physics 381 Mechanics I (Fall'17/Gershtein)
Homework 8 - Due November 2, 2018 in class
Problem numbers correspond to "Classical Mechanics", 5th Ed., by David John R. Taylor (University Science Books) ISBN 9781891389221
6.2, 6.3, 6.7, 6.9, 6.25
for the last problem: you can follow the integration hint that is given in the book. I myself found it easier to use the formula 1-cos(x) = 2*(sin(x/2))^2 to transform both numerator and denominator, and after that it is clear that a substitution like u=cos(Θ/2) should do the trick. Do not forget what atan(∞) is.