This preview shows page 1. Sign up to view the full content.
Unformatted text preview: ( 29 ( 29 ( 29 ( 29 j sin 2 / 2 / 2 2 2 , 1/2 so , 2 2 2 d d h g v h g h g v and h mg mv W T down down down= ⇒ ∆ = ∆ = ∆ = = ∆ So v 2 is minimized when j sin is maximized. j sin is maximized at the topmost point on the loop, where j sin = 1 ( 29 ( 29 ( 29 ( 29 d h g d d h g v== ⇒ 2 2 / 2 / 2 2 ( 29 ( 29 ( 29 == ⇒ = = + ⇒ = ∑ 1 4 2 / 2 sin 2 2 d d h mg mg d d h g m N R v m s m N mg ma F n n r j & = ⇒ d d h mg N 5 4 If the height is just enough for the particle to never lose contact, N = 0 here 4 / 5 5 4 5 4 d h d h d d h mg = ⇒ = ⇒ = ⇒ 2.122 Done in the notes...
View
Full
Document
This note was uploaded on 04/14/2010 for the course TAM 212 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Staff

Click to edit the document details