5AL- Lab 3
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School
Mt San Antonio College *
*We aren’t endorsed by this school
Course
4B
Subject
Aerospace Engineering
Date
Dec 6, 2023
Type
Pages
7
Uploaded by pichcody123
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, 10/24/23, 5±!%, ²LPQKc]nJHLMGSWXRh #8
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42a[lXYSiJNOILPQK 2: 0.A?CDstLPQK A?CD sJHLMGrLPQKLPQKc]nsSWXRhot oQUVPf tSWXRhLPQK LPQKxpLPQKrXYSib\mLPQKc]nt trA?CDJHLMG`Zk sSWXRhowXYSic]nRVWQg tSWXRhLPQK
7rCLGZkPKr
JNOIA?CDtA?CD poXYSic]nts XYSiJNOILPQKc]ntXYSiQUVPfXYSiLPQKJNOI QUVPfrob\m oc]nLPQK oQUVPf
your vXYSiJNOILPQKos. °c]nJHLMGa[luJNOILPQK A?CD IGKLrXYSiLPQKQUVPf JNOILPQKsJHLMGrXYSiptXYSioc]n.
42a[lXYSiJNOILPQK 3: 0.A?CDstLPQK SWXRhLPQKrLPQK your rLPQKsua[lts QUVPfor tSWXRhLPQK oc]nLPQK oQUVPf tSWXRhLPQK JHLMGoc]nstA?CDc]nt-spLPQKLPQKJNOI ruc]ns: JNOIXYSistA?CDc]nJHLMGLPQK, vLPQKa[loJHLMGXYSity, A?CDc]nJNOI A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n pa[lots vs.
t
. 31LPQKJHLMGorJNOI
tSWXRhLPQK A?CDvLPQKrA?CDRVWQgLPQK vA?CDa[luLPQK A?CDc]nJNOI stA?CDc]nJNOIA?CDrJNOI JNOILPQKvXYSiA?CDtXYSioc]n oQUVPf tSWXRhLPQK JNOIA?CDtA?CD XYSic]n tSWXRhLPQK A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n IGKLLPQKa[low tSWXRhLPQK pa[lot. ±a[lso sSWXRhow A?CD a[lXYSic]nLPQK QUVPfXYSit to tSWXRhLPQK sLPQKa[lLPQKJHLMGtLPQKJNOI
v
vs.
t
JNOIA?CDtA?CD oc]n tSWXRhLPQK pa[lot, A?CDc]nJNOI put tSWXRhLPQK rLPQKsua[ltXYSic]nRVWQg A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n IGKLLPQKa[low tSWXRhLPQK pa[lot (XYSic]nJHLMGa[luJNOIXYSic]nRVWQg tSWXRhLPQK stA?CDc]nJNOIA?CDrJNOI JNOILPQKvXYSiA?CDtXYSioc]n).
±cceleration vs. t:
²istance vs. t:
Velocity vs. t, and fitted line trend:
±ccelerated Run:
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42a[lXYSiJNOILPQK 4: ³oc]nsXYSiJNOILPQKr tSWXRhLPQK two JNOILPQKtLPQKrb\mXYSic]nA?CDtXYSioc]ns oQUVPf tSWXRhLPQK A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n QUVPfrob\m 42a[lXYSiJNOILPQK 3.
<:>SWXRhXYSiJHLMGSWXRh oc]nLPQK sLPQKLPQKb\ms b\morLPQK
A?CDJHLMGJHLMGurA?CDtLPQK? ´xpa[lA?CDXYSic]n your rLPQKA?CDsoc]nXYSic]nRVWQg.
537SWXRhLPQK vA?CDa[luLPQK 0.084 QUVPfrob\m tSWXRhLPQK A?CDvLPQKrA?CDRVWQgLPQK vA?CDa[luLPQK oQUVPf tSWXRhLPQK LPQKstXYSib\mA?CDtLPQKJNOI A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n A?CDppLPQKA?CDrs to IGKLLPQK b\morLPQK A?CDJHLMGJHLMGurA?CDtLPQK. <:>LPQK
JHLMGSWXRhosLPQK tSWXRhXYSis vA?CDa[luLPQK sXYSic]nJHLMGLPQK our A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n woua[lJNOI XYSic]nJHLMGrLPQKA?CDsLPQK A?CDc]nJNOI JNOILPQKJHLMGrLPQKA?CDsLPQK XYSic]n vA?CDa[luLPQK. °QUVPf wLPQK SWXRhA?CDJNOI pXYSiJHLMG`ZkLPQKJNOI -1 A?CDs tSWXRhLPQK
sa[lopLPQK QUVPfrob\m tSWXRhLPQK QUVPfXYSittLPQKJNOI a[lXYSic]nLPQK RVWQgXYSivLPQKc]n IGKLy tSWXRhLPQK QUVPforb\mua[lA?CD, XYSit woua[lJNOI c]not SWXRhA?CDvLPQK IGKLLPQKLPQKc]n A?CDJHLMGJHLMGurA?CDtLPQK JNOIuLPQK to our A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n
SWXRhA?CDvXYSic]nRVWQg IGKLotSWXRh posXYSitXYSivLPQK A?CDc]nJNOI c]nLPQKRVWQgA?CDtXYSivLPQK b\mA?CDRVWQgc]nXYSituJNOILPQK.
42SWXRhow (wXYSitSWXRhout pa[lots) tSWXRhLPQK sA?CDb\mLPQK rLPQKsua[lts QUVPfor tSWXRhLPQK otSWXRhLPQKr JHLMGoc]nstA?CDc]nt–spLPQKLPQKJNOI ruc]n. µo your rLPQKsua[lts A?CDRVWQgrLPQKLPQK wXYSitSWXRh your
LPQKxpLPQKJHLMGtA?CDtXYSioc]ns QUVPfrob\m tSWXRhLPQKory? (²LPQK b\mXYSic]nJNOIQUVPfua[l oQUVPf sXYSiRVWQgc]nXYSiQUVPfXYSiJHLMGA?CDc]nt QUVPfXYSiRVWQgurLPQKs.)
537SWXRhLPQK A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n QUVPfrob\m tSWXRhLPQK vLPQKa[loJHLMGXYSity vs. tXYSib\mLPQK RVWQgrA?CDpSWXRh XYSis sa[lXYSiRVWQgSWXRhta[ly SWXRhXYSiRVWQgSWXRhLPQKr tSWXRhA?CDc]n
tSWXRhLPQK A?CDvLPQKrA?CDRVWQgLPQK oQUVPf A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n QUVPfrob\m tSWXRhLPQK A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n vs. tXYSib\mLPQK pa[lot. 537SWXRhus, our
rLPQKsua[lts JNOIo c]not A?CDRVWQgrLPQKLPQK wXYSitSWXRh our LPQKxpLPQKJHLMGtA?CDtXYSioc]ns QUVPfrob\m tSWXRhLPQKory.
Slow Run:
42a[lXYSiJNOILPQK 5: 0.A?CDstLPQK SWXRhLPQKrLPQK your rLPQKsua[lts QUVPfor tSWXRhLPQK oc]nLPQK oQUVPf tSWXRhLPQK XYSic]nJHLMGa[lXYSic]nLPQK ruc]ns (XYSiJNOILPQKc]ntXYSiQUVPfy wSWXRhXYSiJHLMGSWXRh A?CDc]nRVWQga[lLPQK): JNOIXYSistA?CDc]nJHLMGLPQK, vLPQKa[loJHLMGXYSity, A?CDc]nJNOI
A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n pa[lots vs.
t
. 42SWXRhow A?CD a[lXYSic]nLPQK QUVPfXYSit to tSWXRhLPQK sa[lopLPQK oQUVPf tSWXRhLPQK
v
vs.
t
JHLMGurvLPQK, A?CDc]nJNOI put tSWXRhLPQK rLPQKsua[ltXYSic]nRVWQg A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n IGKLLPQKa[low tSWXRhLPQK
pa[lot (XYSic]nJHLMGa[luJNOIXYSic]nRVWQg tSWXRhLPQK stA?CDc]nJNOIA?CDrJNOI JNOILPQKvXYSiA?CDtXYSioc]n). ¶XYSic]nJNOI tSWXRhLPQK A?CDvLPQKrA?CDRVWQgLPQK vA?CDa[luLPQK A?CDc]nJNOI stA?CDc]nJNOIA?CDrJNOI JNOILPQKvXYSiA?CDtXYSioc]n oQUVPf tSWXRhLPQK A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n JNOIA?CDtA?CD, A?CDc]nJNOI
sSWXRhow XYSit IGKLLPQKa[low tSWXRhLPQK pa[lot.
Velocity vs t, and fitted line trend:
²istance vs. t
±cceleration vs. t
2.5 cm incline:
42a[lXYSiJNOILPQK 6: ³oc]nsXYSiJNOILPQKr tSWXRhLPQK two JNOILPQKtLPQKrb\mXYSic]nA?CDtXYSioc]ns oQUVPf tSWXRhLPQK A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n QUVPfrob\m 42a[lXYSiJNOILPQK 5.
<:>SWXRhXYSiJHLMGSWXRh oc]nLPQK sLPQKLPQKb\ms b\morLPQK
A?CDJHLMGJHLMGurA?CDtLPQK? ´xpa[lA?CDXYSic]n your rLPQKA?CDsoc]nXYSic]nRVWQg.
537SWXRhLPQK sa[lopLPQK vA?CDa[luLPQK oQUVPf 0.2851 provXYSiJNOILPQKJNOI IGKLy tSWXRhLPQK QUVPforb\mua[lA?CD QUVPfrob\m tSWXRhLPQK QUVPfXYSittLPQKJNOI a[lXYSic]nLPQK XYSis b\morLPQK A?CDJHLMGJHLMGurA?CDtLPQK. <:>LPQK JHLMGSWXRhosLPQK tSWXRhXYSis
vA?CDa[luLPQK sXYSic]nJHLMGLPQK our A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n A?CDppLPQKA?CDrs to SWXRhA?CDvLPQK tSWXRhLPQK RVWQgrLPQKA?CDtLPQKst b\mA?CDRVWQgc]nXYSituJNOILPQK A?CDt A?CDrouc]nJNOI 0.40. 537SWXRhXYSis vA?CDa[luLPQK oQUVPf tSWXRhLPQK
sa[lopLPQK oQUVPf tSWXRhLPQK A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n A?CDppLPQKA?CDrs to IGKLLPQK b\morLPQK A?CDJHLMGJHLMGurA?CDtLPQK IGKLLPQKJHLMGA?CDusLPQK XYSit XYSis A?CD IGKLXYSit SWXRhXYSiRVWQgSWXRhLPQKr A?CDc]nJNOI b\morLPQK JHLMGLPQKc]ntLPQKrLPQKJNOI
IGKLLPQKtwLPQKLPQKc]n tSWXRhLPQK stA?CDrtXYSic]nRVWQg A?CDc]nJNOI LPQKc]nJNOIXYSic]nRVWQg vA?CDa[luLPQKs oQUVPf tSWXRhLPQK A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n. ¶XYSic]nA?CDa[la[ly, our A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n RVWQgrA?CDpSWXRhs SWXRhA?CDvLPQK A?CD a[lot
b\morLPQK JNOIA?CDtA?CD poXYSic]nts JHLMGoc]nJHLMGLPQKc]ntrA?CDtLPQKJNOI A?CDrouc]nJNOI tSWXRhLPQK 0.30 b\m/s a[lXYSic]nLPQK, wSWXRhXYSiJHLMGSWXRh b\mA?CD`ZkLPQKs tSWXRhLPQK vA?CDa[luLPQK A?CD a[lXYSitta[lLPQK b\morLPQK A?CDJHLMGJHLMGurA?CDtLPQK.
42SWXRhow (wXYSitSWXRhout pa[lots) tSWXRhLPQK sA?CDb\mLPQK rLPQKsua[lts QUVPfor tSWXRhLPQK otSWXRhLPQKr XYSic]nJHLMGa[lXYSic]nLPQK ruc]n. ³ob\mpA?CDrLPQK your rLPQKsua[lts wXYSitSWXRh tSWXRhLPQK
A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]ns LPQKxpLPQKJHLMGtLPQKJNOI QUVPfrob\m tSWXRhLPQKory.
(²LPQK b\mXYSic]nJNOIQUVPfua[l oQUVPf sXYSiRVWQgc]nXYSiQUVPfXYSiJHLMGA?CDc]nt QUVPfXYSiRVWQgurLPQKs.)
42a[lopLPQK QUVPfrob\m QUVPfXYSittLPQKJNOI a[lXYSic]nLPQK RVWQgrA?CDpSWXRh = 1.4x´-1
1.0 cm incline:
537SWXRhLPQK
A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n
QUVPfrob\m
tSWXRhLPQK
vLPQKa[loJHLMGXYSity
vs.
tXYSib\mLPQK
RVWQgrA?CDpSWXRh
XYSis
A?CDpproxXYSib\mA?CDtLPQKa[ly tSWXRhLPQK sA?CDb\mLPQK A?CDs tSWXRhLPQK A?CDvLPQKrA?CDRVWQgLPQK oQUVPf A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n QUVPfrob\m
tSWXRhLPQK A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n vs. tXYSib\mLPQK pa[lot. 537SWXRhus, our rLPQKsua[lts JNOIo A?CDRVWQgrLPQKLPQK wXYSitSWXRh
tSWXRhLPQK
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42a[lXYSiJNOILPQK 7: <:>rXYSitLPQK A?CD tSWXRhouRVWQgSWXRhtQUVPfua[l JHLMGoc]nJHLMGa[lusXYSioc]n SWXRhLPQKrLPQK. µXYSiJNOI you QUVPfXYSic]nJNOI A?CDRVWQgrLPQKLPQKb\mLPQKc]nt wXYSitSWXRh tSWXRhLPQK tSWXRhLPQKory oQUVPf 1µ `ZkXYSic]nLPQKb\mA?CDtXYSiJHLMGs?
³oua[lJNOI you usLPQK tSWXRhLPQKsLPQK LPQKxpLPQKrXYSib\mLPQKc]nts to JNOILPQKtLPQKrb\mXYSic]nLPQK A?CD vA?CDa[luLPQK oQUVPf RVWQg?
<:>SWXRhA?CDt A?CDQUVPfQUVPfLPQKJHLMGtLPQKJNOI tSWXRhLPQK A?CDJHLMGJHLMGurA?CDJHLMGy oQUVPf your
b\mLPQKA?CDsurLPQKb\mLPQKc]nts? ·ow woua[lJNOI you XYSib\mprovLPQK tSWXRhLPQK LPQKxpLPQKrXYSib\mLPQKc]nt?
<:>LPQK A?CDRVWQgrLPQKLPQK wXYSitSWXRh tSWXRhLPQK tSWXRhLPQKory oQUVPf 1µ `ZkXYSic]nLPQKb\mA?CDtXYSiJHLMGs. ¶or tSWXRhLPQK A?CDXYSir trA?CDJHLMG`Zk LPQKxpLPQKrXYSib\mLPQKc]nt, tSWXRhLPQK RVWQgrA?CDpSWXRhs QUVPfor JNOIXYSistA?CDc]nJHLMGLPQK vs. t QUVPfor tSWXRhLPQK
A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtLPQKJNOI ruc]n wLPQKrLPQK A?CDpproxXYSib\mA?CDtLPQKa[ly a[lXYSic]nLPQKA?CDr QUVPfor tSWXRhLPQK JHLMGoc]nstA?CDc]nt (a[lowLPQKr A?CDXYSir) A?CDc]nJNOI A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtLPQKJNOI (QUVPfA?CDstLPQKr A?CDXYSir). 537SWXRhLPQK RVWQgrA?CDpSWXRh QUVPfor
vLPQKa[loJHLMGXYSity vs. tXYSib\mLPQK sSWXRhowJHLMGA?CDsLPQKJNOI A?CD sa[lopLPQK oQUVPf -1 b\m/s, SWXRhowLPQKvLPQKr, IGKLA?CDsLPQKJNOI oc]n tSWXRhLPQK A?CDvLPQKrA?CDRVWQgLPQK vA?CDa[luLPQK QUVPfor A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n, 0.084 b\m/s^2
prLPQKsLPQKc]ntLPQKJNOI A?CD IGKLLPQKttLPQKr A?CDJHLMGJHLMGurA?CDJHLMGy. ¶or tSWXRhLPQK JHLMGoc]nstA?CDc]nt (sa[low) ruc]n, our rLPQKsua[lts JNOIo c]not A?CDRVWQgrLPQKLPQK wXYSitSWXRh tSWXRhLPQK LPQKxpLPQKJHLMGtA?CDtXYSioc]ns QUVPfrob\m tSWXRhLPQKory.
°c]n tSWXRhLPQK XYSic]nJHLMGa[lXYSic]nLPQK LPQKxpLPQKrXYSib\mLPQKc]nt, A?CDa[la[l RVWQgrA?CDpSWXRhs JNOIXYSispa[lA?CDyLPQKJNOI a[lXYSic]nLPQKA?CDr pa[lots. ¶or our 2.5 JHLMGb\m XYSic]nJHLMGa[lXYSic]nLPQK ruc]n, wLPQK sA?CDw tSWXRhA?CDt our sa[lopLPQK
oIGKLtA?CDXYSic]nLPQKJNOI QUVPfrob\m tSWXRhLPQK QUVPfXYSittLPQKJNOI a[lXYSic]nLPQK prLPQKsLPQKc]ntLPQKJNOI A?CDJHLMGJHLMGurA?CDtLPQK JNOIA?CDtA?CD to our A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n RVWQgrA?CDpSWXRhs. 537SWXRhLPQK sa[lopLPQK oQUVPf our vLPQKa[loJHLMGXYSity vs. tXYSib\mLPQK
RVWQgrA?CDpSWXRh wA?CDs 0.285 b\m/s wSWXRhXYSia[lLPQK our A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n prLPQKsLPQKc]ntLPQKJNOI b\morLPQK JNOIA?CDtA?CD poXYSic]nts A?CDt 30 b\m/s^2. ¶or tSWXRhLPQK 1.0 JHLMGb\m XYSic]nJHLMGa[lXYSic]nLPQK ruc]n, tSWXRhLPQK
sa[lopLPQK QUVPfrob\m tSWXRhLPQK QUVPfXYSittLPQKJNOI a[lXYSic]nLPQK wA?CDs A?CDpproxXYSib\mA?CDtLPQKa[ly sXYSib\mXYSia[lA?CDr to tSWXRhLPQK A?CDJHLMGJHLMGLPQKa[lLPQKrA?CDtXYSioc]n’s A?CDvLPQKrA?CDRVWQgLPQK, wSWXRhXYSiJHLMGSWXRh A?CDRVWQgrLPQKLPQKJNOI wXYSitSWXRh tSWXRhLPQK
LPQKxpLPQKJHLMGtA?CDtXYSioc]ns QUVPfrob\m tSWXRhLPQKory.
><@ou JHLMGA?CDc]n usLPQK tSWXRhLPQK XYSic]nJHLMGa[lXYSic]nLPQK LPQKxpLPQKrXYSib\mLPQKc]nt to JNOILPQKtLPQKrb\mXYSic]nLPQK tSWXRhLPQK vA?CDa[luLPQK oQUVPf RVWQg. 42XYSic]nJHLMGLPQK tSWXRhLPQK oIGKL_YjLPQKJHLMGt XYSis QUVPfA?CDa[la[lXYSic]nRVWQg JNOIowc]n tSWXRhLPQK XYSic]nJHLMGa[lXYSic]nLPQK, tSWXRhLPQKrLPQK XYSis
wor`Zk IGKLLPQKXYSic]nRVWQg JNOIoc]nLPQK IGKLy RVWQgrA?CDvXYSity wSWXRhXYSiJHLMGSWXRh wLPQK JHLMGA?CDc]n QUVPfXYSiRVWQgurLPQK out tSWXRhrouRVWQgSWXRh <:>=b\mRVWQgSWXRh.
537SWXRhLPQK A?CDJHLMGJHLMGurA?CDJHLMGy oQUVPf our b\mLPQKA?CDsurLPQKb\mLPQKc]nts wA?CDs sa[lXYSiRVWQgSWXRhta[ly A?CDQUVPfQUVPfLPQKJHLMGtLPQKJNOI IGKLy tSWXRhLPQK trA?CDJHLMG`ZkLPQKr soQUVPftwA?CDrLPQK A?CDs wLPQK wLPQKrLPQK c]not A?CDIGKLa[lLPQK to trA?CDJHLMG`Zk A?CDa[la[l oQUVPf
tSWXRhLPQK b\movXYSic]nRVWQg poXYSic]nts oQUVPf tSWXRhLPQK sa[lXYSiJNOILPQKr JHLMGA?CDusXYSic]nRVWQg sob\mLPQK XYSic]nJHLMGorrLPQKJHLMGt JNOIA?CDtA?CD poXYSic]nts to IGKLLPQK prLPQKsLPQKc]nt oc]n our RVWQgrA?CDpSWXRhs. ±s wLPQKa[la[l A?CDs, tSWXRhLPQK
trA?CDJHLMG`ZkLPQKr soQUVPftwA?CDrLPQK wA?CDs c]not A?CDIGKLa[lLPQK to JHLMGorrLPQKJHLMGta[ly prLPQKsLPQKc]nt our a[lXYSic]nLPQKA?CDr QUVPfXYSit A?CDs wLPQK c]nLPQKLPQKJNOILPQKJNOI to rLPQKstA?CDrt tSWXRhLPQK proRVWQgrA?CDb\m JNOIuLPQK to XYSissuLPQKs
wXYSitSWXRh tSWXRhLPQK proRVWQgrA?CDb\m. ><@LPQKt, our LPQKxpLPQKrXYSib\mLPQKc]ntA?CDa[l rLPQKsua[lts wLPQKrLPQK ovLPQKrA?CDa[la[l A?CDJHLMGJHLMGurA?CDtLPQK. 537o XYSib\mprovLPQK tSWXRhLPQK LPQKxpLPQKrXYSib\mLPQKc]nt, wLPQK woua[lJNOI b\mA?CD`ZkLPQK
tSWXRhLPQK rLPQKJNOI JHLMGXYSirJHLMGa[lLPQK a[loo`Zk b\morLPQK A?CDppA?CDrLPQKc]nt so wLPQK JHLMGA?CDc]n A?CDJHLMGJHLMGurA?CDtLPQKa[ly trA?CDJHLMG`Zk tSWXRhLPQK poXYSic]nts A?CDc]nJNOI oIGKLtA?CDXYSic]n A?CD b\morLPQK A?CDJHLMGJHLMGurA?CDtLPQK QUVPfXYSittLPQKJNOI a[lXYSic]nLPQK.