Conservative mechanical system consists of my and ma A two homogeneous disks of mass The disks have roll some radius R. The disks Con on a horizontal surface without slipping d and their centres doe attached to d spring of elastic constant k and rest length l. The horizontal direction disk centres only move in (the disk always touch surface). k (mi) mmmmmmm ma / / / / / / / / / / /]] (v]
Conservative mechanical system consists of my and ma A two homogeneous disks of mass The disks have roll some radius R. The disks Con on a horizontal surface without slipping d and their centres doe attached to d spring of elastic constant k and rest length l. The horizontal direction disk centres only move in (the disk always touch surface). k (mi) mmmmmmm ma / / / / / / / / / / /]] (v]
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![Conservative mechanical system consists of
two homogeneous disks of mass m, and ma..
The disks have some radius R. The disks
Con
roll on
and their centres dre
a horizontal surface without slipping
attached to
spring
d
of elastic constant k and rest length l. The
disk centres only move in
horizontal direction
(the disk always touch surface).
1- A
(v]
ma
(1) mmment
/ / / / / / / / / / / //
State number of dezien 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 montity, state the
Noether symetry responsible for its Conservation?
V). Find normal modes of small osscilatione
about stable equlibrium position (s). calculate
Corresponding frequencies?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1e65d3f-3c77-4e7f-88fc-bf17213b1ce1%2F9c4e4e0a-e256-4011-908c-935d0256c099%2F7g8z1qa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Conservative mechanical system consists of
two homogeneous disks of mass m, and ma..
The disks have some radius R. The disks
Con
roll on
and their centres dre
a horizontal surface without slipping
attached to
spring
d
of elastic constant k and rest length l. The
disk centres only move in
horizontal direction
(the disk always touch surface).
1- A
(v]
ma
(1) mmment
/ / / / / / / / / / / //
State number of dezien 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 montity, state the
Noether symetry responsible for its Conservation?
V). Find normal modes of small osscilatione
about stable equlibrium position (s). calculate
Corresponding frequencies?
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