Analytical Mech Homework Solutions 69

Analytical Mech Homework Solutions 69 - For r = a , and the...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
For ra θ = , and the force to be central, try n bt = () ( ) 222 2 2 2 2 21 nn fm a b n ta b n n t −−  =+  For a central field … () 0 f = +−= 0 1 3 n = 1 3 bt = 6.14 (a) Calculating the potential energy 2 35 4 dv a fr k dr r r  −= = +   Thus, 2 24 2 4 a Vk rr =− + The total energy is … 2 22 2 2 12 1 1 9 9 0 2 2 4 kk ETV v k aa a a =+= + = = DD D Its angular momentum is … 2 4 9 2 k la v c o n s t a n t r 2 == = = D ± Its KE is … 2 2 2 4 11 1 2 dr dr l Tr r r r dd θθ =+ = + = +  ±± ± r The energy equation of the orbit is … 2 2 42 0 dr l a TV r k dr r +== + + 4 r 2 2 2 92 44 dr k a rk r =+− + 4 r or 2 1 9 dr ar d Letting cos φ = then sin d a dr So 2 1 9 d d = 1 3 = 7
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.

Ask a homework question - tutors are online