‘zbekist0n respublikasi oliy va ‘rta maxsus ta’lim yazirligi q‘rta maxsus, kasb-hunar ta’limi markazi

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Yechish.
Vx ax +Vy ay 2 0+1010 n o / 2

3 1 7
51
T
5,52
3,52
N o rm al tezlanish esa:
14,5 m /s 2.
an = V 2 8 9 - 2 1 0 ,2 5 = 8,87 m /s 2.
E grilik radiusini an iqlashda (38.13) d an foydalansak:
12,39
, , Q
p = w
'
m
kelib chiqadi.
17-masala. M oddiy n u q ta
x = 2 /,
y = 5 t 2 - \
(42.1)
tenglam alarga ko‘ra harakat qiladi (x, у — m etr, t — sekund hisobida).
N u q ta n in g trayektoriya ten g lam asi tuzilsin, t= 1 sekunddagi te z
ligi, te z la n is h i h a m d a eg rilik radiusi a n iq la n sin va u lar y o ‘nalishi
tray ek to riy ada ko ‘rsatilsin.
Yechish. (42.1) d a n vaqt b o ‘yicha hosila olib, tezlik proyeksiya
lari va tez lik m od ulin i to p am iz:
Vx = 2 , Vy = 10/.
(42.2)
t = 1 sekundda
Vx= 2 , Г = 1 0 , V = л/4 + 100 = 1 0 ,2 m /s.
(42.2) d an hosila olsak:
ax = 0, ay = 10 m /s 2, a = 10 m /s 2.
U rin m a tezlanishni aniqlaym iz:
Vx ax +Vy ay
2 0+1010
n o
/ 2
« . = —
= - а д - = 9 -8 m / s
N o rm a l tezlan ish quyidagicha b o ‘ladi:
an = л/ЮО - 96 = 2 m /s 2 .
66

Egrilik radiusi esa:
у
(42.1)
d a n v aq tn i y o ‘q o tish u c h u n
m azkur tenglam aning birinchisidan t ni
to p ib , u n i (4 2 .1 )n in g ik k in c h is ig a
q o ‘ysak, tra y e k to riy a ten g lam asi kelib
chiqadi:
(42.3)
dan ko‘ramizki, nuqta trayek
toriyasi p a ra b o la d a n ib o ra t. / = 1 se-
kunddagi b a rc h a kin em atik p a ra m e tr-
la r y o ‘n a lis h in i ra sm d a k o ‘r s a ta m iz
(79-rasm ). t = I s da nuqta k o o rd in a
talari x = 2 m , p 4 m .

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