|
‘zbekist0n respublikasi oliy va ‘rta maxsus ta’lim yazirligi q‘rta maxsus, kasb-hunar ta’limi markaziBog'liq 1048 pdf 63c96812dd27f 1674143762x = j ( e ' - e~‘ ) , у = j ( e ! + e ' ) .
t= \ sekundda x = I ( e - I ) = 1 (2 ,7 1 8 3 - 1,3679) = 1,18 m /s ,
=
t
(
c
+I) = 1,54 m
/s>
V = V x2 + у 2 ; V = V U 9 2 4 + 2,3716 = 1,94 m /s ,
c o s ( k a ,7) = Ц - = - b g = 0,61 , c o s ( k a j ) = 0,7938;
( Р л,7) = 52°25'; ( К л, ) ) = 37°27'
T ezlanish quyidagicha boMadi:
a x =
j ( e ' + e ~ ' h
a y = j ^ e '
- * ' ' ) •
t = 1 sekundda:
= 1,54; oy= 1,18; a = 1,94 m /s 2.
co s(a",7) = 0,7938, c o s(a A,7) = 0,61; ( я л,7) = 37°27'; ( a AJ ) = 52°25'.
Tezlik va te z la n ish la r y o‘n alish lari 7 7 -ra sm d a k o ‘rsa tilg a n id e k
bo'lad i.
13-masala. M oddiy nuqta harakati
x = e' c o s t, у = e' sin t, z = e'
(40.3)
te n g la m a la r b ila n b e rilg an . N u q ta n in g tra y e k to riy a te n g la m a s i,
trayektoriya b o ‘ylab harakat q o n u n i an iq lan sin (x, y, z ~ m e tr, t —
sekund hisobida).
Yechish. (40.3) d an vaqtni y o ‘qotish u c h u n z=e' ni (40.3) ning
birinchi ikkitasiga q o ‘yamiz:
x = zcost,
у = z sin/.
Bu tenglikning ikkala to m o n larin i kvadratga ko‘tarib q o ‘sham iz:
x 2 + y 2 = z2 yoki
x 2 + y 2 — z2 = 0.
(40.4)
(40.4)
ten g la m a d a n ko‘ram izki, trayek to riy a ikkinchi tartib li d o i
raviy konusdan ib o rat ekan.
N u q ta n in g tra y e k to riy a b o ‘y ich a te n g la m a sin i a n iq la sh u c h u n
(40.3) dan vaqt b o ‘yich a hosila olam iz:
63
|
| |
