Please only answer this if you have done both parts a and b. Please provide deta
ID: 1917589 • Letter: P
Question
Please only answer this if you have done both parts a and b. Please provide detailed, clear steps and answer both parts for a rating. Since this is kind of anoying to type, if you upload an image with your solutions that would be great!
many thanks :D
please notice that the dots on "x's" are relating to time derivatives. This is classical mechanics course I'm in and we have to do everything analytically starting out with newtons second law and so not sure how to do this problem. Please answer all of it :D
Explanation / Answer
so we can use conservation of energy 1/2 m w^2 x1^2 + 1/2 m xdot1 ^2 =1/2 m w^2 x2^2 + 1/2 m xdot2 ^2 w^2(x2^2-x1^2) =x1dot^2 - x2dot^2 w = sqrt( (x1dot^2 - x2dot^2)/(x2^2-x1^2)) we can use maxamplitude that xdot = 0 so 1/2 m w^2 A^2 = 1/2 m w^2 x1^2 + 1/2 m x1dot^2 A^2 = x1^2 + x1dot^2/w^2 A = sqrt( x1^2 + x1dot^2/(x1dot^2 - x2dot^2)/(x2^2-x1^2))