Question 10 If the function is given as U(x) = x4, is the equilibrium is stable at x=0? check your understanding of maxima and minima by finding the first and second derivate and answer the question. O a. Yes, it is stable since 1076 148,435 a²U dx² Ob. Yes, it is stable since O c. Yes, it is stable since ->0 a²U dx² a²U dx² <0 =0 O d. There is no enough information 12982

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.17P
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Question 10
1,076
:8:
F1
If the function is given as U(x) = x4, is the equilibrium is stable at x=0? check your understanding of maxima and minima
by finding the first and second derivate and answer the question.
2
@
148435
O a. Yes, it is stable since
S
W
Ob. Yes, it is stable since
and
X
O c. Yes, it is stable since
30:
F2
#
3
E
D
31 21
O d. There is no enough information
80
a²U
F3
4
->0
dx²
a²u
$
dx²
a²u
dx²
R
<0
FL
=0
a
F4
%
5
tv
T
O
F5
G
A
6
CV B
NAO
c
F6
Y
H
&
7
12982
←
F7
P W
U
8
J
DII
F8
1
N M
O
F
CA
(
9
K
F9
<
H
)
F10
L
P
command
3
7
F11
Transcribed Image Text:Question 10 1,076 :8: F1 If the function is given as U(x) = x4, is the equilibrium is stable at x=0? check your understanding of maxima and minima by finding the first and second derivate and answer the question. 2 @ 148435 O a. Yes, it is stable since S W Ob. Yes, it is stable since and X O c. Yes, it is stable since 30: F2 # 3 E D 31 21 O d. There is no enough information 80 a²U F3 4 ->0 dx² a²u $ dx² a²u dx² R <0 FL =0 a F4 % 5 tv T O F5 G A 6 CV B NAO c F6 Y H & 7 12982 ← F7 P W U 8 J DII F8 1 N M O F CA ( 9 K F9 < H ) F10 L P command 3 7 F11
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