A Conservative mechanical system consists of two homogeneous disks of mass my and ma.. The disks have some radius R. The disks con a horizontal surface without shipping roll on d and their centres are attached to d spring of clastic constant k and rest length 1. The in horizontal direction disk centres only move (the disk always touch surface). ma (m²) mm T/ / / / / / / / / / //\ State number of degaen of freedom? ii).write longrongion and Euler-long range equations of system? ). Find stable equlibrium position (S) of system? ¿V) Stite conserved quantity (or quantities) of the system. For each conserved quantity, state the Noether symetry responsible for its Conservation? V). Find normal mudes of small osscilations about stable equlibrium position (s). calculate Corresponding frequencies? બ9 લવ

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Conservative mechanical system consists of
two homogeneous disks of mass.
mi and ma
The disks have some radius R. The disks
Con
roll on
and their centres dae
a horizontal surface without slipping
attached to a spring
of elastic constant k and rest length I. The
in
horizontal direction
disk centres only move
(the disk always touch surface).
1- A
ma
mmmmmmmmml
/ / / / / / / / / / / / /
mi
(v)
State number of degress of freedom?
ii).write longrengion and Euler-long range equations
of system?
(L). Find stable equlibrium position (S) of system?
iv). State conserved quantity (or quantities) of the
system. For each conserved quantity, state the
Noether symetry responsible for its Conservation?
V). Find normal modes of small osscilatione
about stable equlibrium position (s). calculate
Corresponding frequencies?
rદ્ર લવ
Transcribed Image Text:Conservative mechanical system consists of two homogeneous disks of mass. mi and ma The disks have some radius R. The disks Con roll on and their centres dae a horizontal surface without slipping attached to a spring of elastic constant k and rest length I. The in horizontal direction disk centres only move (the disk always touch surface). 1- A ma mmmmmmmmml / / / / / / / / / / / / / mi (v) State number of degress of freedom? ii).write longrengion and Euler-long range equations of system? (L). Find stable equlibrium position (S) of system? iv). State conserved quantity (or quantities) of the system. For each conserved quantity, state the Noether symetry responsible for its Conservation? V). Find normal modes of small osscilatione about stable equlibrium position (s). calculate Corresponding frequencies? rદ્ર લવ
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