Analytical Mech Homework Solutions 36

Analytical Mech Homework Solutions 36 - (1,1) ( and, with x...

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

View Full Document Right Arrow Icon
and, with 1 x = () ( ) 1,1 1 1,0 0 1 Fd r d y == ∫∫ K K on this path ( ) 0,0 011 r =+= K K is not conservative. F K 4.6 From Example 2.3.2, 2 e e r m g rz =− Vz + 1 1 e e z m g r r  +   From Appendix D, 1 2 11 xx x + =−+ + 2 2 1 e ee zz m g r rr + + 2 e e mgz m g r m g z r + + With an additive constant, e mgr 1 e z m g z r ≈− ˆ FV k V z =−∇ KK z 1 ˆ 1 z kmg z  +   2 ˆ 1 e z Fk m g r K , 0 x mx F ±± 0 y my F = = 2 1 e z mz mg r 2 1 e dz z mz mg dz r ± ± 0 0 2 1 z h v e z zdz g dz r D ± 2 2 1 2 z e h vg h r −= −− D 2 2 0 2 ez e rv h g −+ = D hr 4
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