3.2.3 From the Euler-Lagrange equation of motion: d ƏL %3D = 0, dt aqk aq Show that the equation of motion for this system is given by: Ö + º e = 0 3.2.4 What can you conclude about the system from this equation of motion?
3.2.3 From the Euler-Lagrange equation of motion: d ƏL %3D = 0, dt aqk aq Show that the equation of motion for this system is given by: Ö + º e = 0 3.2.4 What can you conclude about the system from this equation of motion?
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![A simple pendulum consists of a particle of mass m on an inextensible massless
string of lengthl.
3.2
The kinetic energy of the system in Cartesian coordinates is given by:
T=m (x2 + y²) where x and y may also be expressed in their polar coordinates
format as x = { sin e, and y = - l cos 0 respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87b98b52-8216-4db9-8ed5-777625ddbd84%2Fa76d5c64-c7fe-4375-a958-5ed8ffca7a17%2Fs44qhsk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A simple pendulum consists of a particle of mass m on an inextensible massless
string of lengthl.
3.2
The kinetic energy of the system in Cartesian coordinates is given by:
T=m (x2 + y²) where x and y may also be expressed in their polar coordinates
format as x = { sin e, and y = - l cos 0 respectively.
![3.2.3 From the Euler-Lagrange equation of motion:
d.
dt 'aqk
3 0,
aq
Show that the equation of motion for this system is given by:
Ö + 9 0 = 0
3.2.4 What can you conclude about the system from this equation of motion?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87b98b52-8216-4db9-8ed5-777625ddbd84%2Fa76d5c64-c7fe-4375-a958-5ed8ffca7a17%2Fk6ogaom_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.2.3 From the Euler-Lagrange equation of motion:
d.
dt 'aqk
3 0,
aq
Show that the equation of motion for this system is given by:
Ö + 9 0 = 0
3.2.4 What can you conclude about the system from this equation of motion?
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