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Nqr! < . E nc r g v a n d P o w M C Q S i n g l e C o rr ec t 7 ( 3 w o r k d o np c o n s t an t u t a pp r o p n a t e d i m e n s i o n i w h p t l I b r ' p a l t l t : l t r I : t ; i k o n f l t ) i n I l l r l ¢ \ t) I n l ( n O ) l o t h p p o l n l (( ( 2 0 1 a ( A ) 21 ( B ) ( C ) a \ 1 1 ) (1 A l o c k ( B ! i s ; 1t l a \ h ( ' t l t \ l t w \ \ u ns t r e l c h e d : : p l l l \ ! l s : : 1 : l n t l 5 2 w i t h s p r t n g c o n s t a n t s k i lm w res p e c t i v e l y ( S t t ' \ l g t t r c n 1 h t \ o t l tr i e i h l s : l l t r n l l nc h t l \ l t t l ld o n t r t : n l s u p p o l l s M 1 n 1 1d M 2 I10 1 a tl a c h p t l \ o t h p W ; r i i s 1t s p lll \ !l s : r l n l s u p p ort s h : i V t r n e g li g i b l e r T\ a x s Th e i t \ i s n o f ri c t i o n a n y w h e rp T h n Hl \ r t k R i s t l l s p l ; t c r t l l o w a n j s w a l l 1 b l E E m n ll d i s t a n c e X ( f i g u r e l l ) an d r e l e a s e d T h e b l o c k r et ur ns a n d t noves L l = u t a x l l n : i b d i s t an c e U o w a rd s w a l l Z Ji spl acements X a n d y i l r e me a s ur e d w i th r e s p t · t ! t tl l h ( t ' q tl l l l b r i u m p o sl ll on o l t h t [ t l o c k B T h e I a t i o x ia ( 2 0 08 ) F i g u re : 4- 2 1 V Z x 2 ' A x l A V t j L I ' V W W l L I ' WW v L ( A ) 4 ( c ) ( B ) 2 ( D ) A b o b o f m a s s M i s s u s p e n d e d b y a rnass l e s s s t r i n g o f l e n g t h L T h e h o r i zon t a l v e l o c i t y V a t p os i t i on A i s j u s t s u ffic i e n t t o ma k e i t r eac h t h e p o i n t B T h e a n g l e 4l a t w h i c h t h e s p e e d o f t h e b o b i s h a i f o f lh a t a t A s a t i s fi e s ( B ) - t ) . £ n 3 n 3 n ( 20 08 ) A p ar t i c l e i s a c t e d b y a f o r c e F · k x w h er e k i s a + v e co n s l an l It s p o l e n l i a l e ne r g y a t X · O i s ze r o W h i c h c u r v e cor r e c t l y r e p r e se n t s t h e v a r i a t i on o f p o t en t i a l en e r g y o f t h e bl o c k w i t h r e s p e c t l 0 X ( 2 00 4 ) ( A ) ( B ) ( c ) ( D ) \ I I I \ y X : I 1 4 4 I I I I a 2 7r 1 2 3 4
Transcript
Page 1: wpe

Nqr ! <.

E n c r g v a n d P o w

M C Q S i n g le C o r r e c t

7 ( 3 w o r k d o n p

c o n s t a n t u t a pp r o p n a t e d im e n s io n i w h p t l I b r ' p a l t l t : l t r I : t ; i k o n f l t ) i n I l l r l ¢\ t ) I n l (n O) l o th p p o ln l (((20 1a

(A ) 2 1

(B )

(C ) a

\ 11) (1

A lo c k (B ! i s ; 1t l a \ h ( ' t l t \ l t w \ \ u n s t r e l c h e d : : p l l l \ ! l s : : 1 : l n t l 5 2 w i t h s p r t n g c o n s ta n t s k i l m wr e s p e c t i v e ly (S t t ' \ l g t t r c n 1 h t \ o t l t r i e i h l s : l l t r n l l n c h t l \ l t t l ld o n t r t : n l s u p p o l l s M 1 n 11d M 2 I101

a t l a c h p t l \ o t h p W ; r i i s 1 t s p l l l \ ! l s : r l n l s u p p o rt s h : i V t r n e g lig ib le rT\ a x s T h e i t \ i s n o f ri c t io n

a n y w h e r p T h n Hl \ r t k R i s t l l s p l ; t c r t l l o w a n j s w a l l 1 b l EE m n l l d is t a n c e X (f ig u r e l l) a n d r e le a s e d

T h e b lo c k r et ur ns a n d t n o v e s Ll = u t a x l l n : i b d is t a n c e U o w a rd s w a l l Z Ji spl acement s X a n d y i l re

m e a s u r e d w i t h r e s p t · t ! t tl l h ( t ' q t l l l l b r i u m p o s l l lo n o l t h t [ t l o c k B T h e I a t iox

i a (20 0 8)

F ig u r e :

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V t jL I 'VWW l LI 'W W v L

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h o r iz o n t a l v e lo c it y V a t p o s it io n A is ju s t s u f f ic ie n t t o m a k e it r e a c h t h e

p o i n t B T h e a n g le 4l a t w h ic h t h e s p e e d o f t h e b o b is h a i f o f l h a t a t A

s a t is f ie s

(B ) - t) . £n 3 n 3 n

(20 08)

A p a r t ic le is a c t e d b y a f o r c e F · k x w h e r e k is a + v e c o n s l a n l It s p o l e n l ia l e n e r g y a t X · O i s

z e r o W h i c h c u rv e c o r r e c t ly r e p r e s e n t s t h e v a r ia t io n o f p o t e n t ia l e n e r g y o f t h e b lo c k w it h r e s pe c t

l 0 X (20 04 )

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