R. C. Hibbeler 14th edition

"Dynamics"

Conservation of Energy

Chapter

(14)

By

eng.Ahmed Elsamman

Eng.ahmedelsamman@live.com

0020: 0111 011 93 97

ffi\ eiimae"-f.,./"8wnw

Co./\E-<r{.rr",*r*t fif O

<-X t $rt*Vi t.ft-.",-rt F*fU b t):sPrt^3 Fore txs)

ltorl- G'rrJgrr^rttnn fo ,; Q

g^ :, Yr; C f,.*",\ F=rc Cp w)

Vrs

v-s-

Po'k Jr."l

.ft+: rn1.3 v\

I . .Ll-Ks'L

s^r/rt) LV)a- c^loc^k J tgh*^^

,", - lr*rlro* rt4*

t+ ) : J*1gt

Cr^*/t^f *^ J s^e,fq)

Tn tV, = T.oV.

(r) The S-kg *tl}trar h*s a v*In*ity a$'5 n:rfx t* the rightwhen it is at d" trt then trnvels nlcng the sm{x}th guicle.

I)*ter*rine its spr*d rvhsn its center r*athcs p*int .S ancl tll*ru$"inal_f{}Iqg. it *xerts $n the r*d at t}ris p*int.'fhL' spring has

*n unstr*t*hrcl le.llgth r:f i{X} rnrn itncl $ is lt,rcilttq-l just befttre

the *nr:l cf thur cttrv*cl pnrti*n *f the r"nd.

?f*** doxf'x ".

VA"5 *

\ \ //--^z r ,./ 4,/)A = +^"S)"gf

1 + \t =Te *Vs

+t! *65\,f* !'[f

Vg '' 't/7.

Ne =??

G^t{rr./}.?ht^ -{ s^"r?l

L," = o"\ ,.-, - 2tJ0 rnur

D"#*

-v4

V6 : T'*LshA t o'Lt

K:5o N/-^

sn = L-Lu

fr@"{:t*-:__\

-Lf,f,*

Vs t 5' j3 *l^

-

%*

.La[* = MQ,.

tL-N =

ve'

N5l< Sts -*rr,' f'-o'z

N 7..eq4 N

i- \f = 6ct4 N

-- (g lE LB ".n

K4,til6)- hts = c)

sB= L-L" Eng,Ahmed Etsam-an

=o'4-"'l2 cl'3

?{){l rrrl

+-- #

0111 011 93 97

H". u,f,

@) Th* s-th ca,xiurcle,r is fnlling frnm ,4 rvith a spe*c*

ri;+ r= 1(}ftls *slt,$ {he pla{fmrm. D*tsrmine tire maximltll:dtsplnce.mre.lr[ *f t.h,e" g:triltfnrm" en$$flel b3' th* en]lisic:n" T]r*spring hss fixr Ltnstretched leng{h *f t"?,-5 ft arrc} is *rigina}lyke,p{ in c*nrpressi*n h3'thc l-ft luns cables attachecl t* t}re

ptutt'nrrn. F{eglect t}re ntass lrf the platfr:rrrrr alrd spring ltnrl

Rrly H$el-gy l*st during the c*llisi*n.

tr; on6.^rsr s g *o.eT 3g pti,.,=riiri-', lm]

l{r

I

I

I

I

Enq.Rhmed EBamman.v,n

0111 011 93 97