ΘΕΜΑ 3. ΜΗΧΑΝΙΚΗ 2014 - math.upatras.grspn/files/8ema3-mixaniki-2014.pdf · ΤΜΗΜΑ...
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Transcript of ΘΕΜΑ 3. ΜΗΧΑΝΙΚΗ 2014 - math.upatras.grspn/files/8ema3-mixaniki-2014.pdf · ΤΜΗΜΑ...
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2013-14
: .
3
: .
1. :
m
d 2x1dt2
= x1 , m
d 2x2dt2
= x2 , m
d 2x3dt2
= 0 .
=1/5 =2/5. Frenet. 2. ; , , ; ; 2. :
(i) m
d 2x1dt2
= x2 , m
d 2x2dt2
= x1 , m
d 2x3dt2
= 0 .
(ii) m
d 2x1dt2
= x2 , m
d 2x2dt2
= x1 , m
d 2x3dt2
= 0 .
3. :
(i) x(t) = (sin t, sin2t, 0) , (ii) x(t) = (sin2t, sin3t, 0) , (iii) x(t) = (sin3t, sin2t, 0) ,
(iv) x(t) = (t2 , t3, 0) , (v) x(t) = (t
21, t3 t , 0) ,
