If L=mglsin(theta) ( angular momentum) why N= - mglsin(theta) ? I dont understand why fundamental equation of motion takes form -mglsin
If L=mglsin(theta) ( angular momentum) why N= - mglsin(theta) ? I dont understand why fundamental equation of motion takes form -mglsin
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If L=mglsin(theta) (
![Axis
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297 MM
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kupdf.net_analytical... x
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339 (350 3 574)
re 8.4.1 The physical pendulum.
0 +
200%
Denoting the angle between the line OCM and the vertical line OA by 0, the moment
of the gravitational force (acting at CM) about the axis of rotation is of magnitude
mgl
I
mgl sin
The fundamental equation of motion N = I then takes the form --mgl sin 0=16
Ä +
↓
sin = 0
+
mgl 0 = 0
Equation 8.4.1 is identical in form to the equation of motion of a simple pendulum.
For small oscillations, as in the case of the simple pendulum, we can replace sin by 0:
(8.4.1)
(8.4.2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27881e66-694c-4814-b35a-fba75a4bbb38%2F646f0782-1890-47d6-8d2f-f9464bb1c209%2F3clmwod_processed.png&w=3840&q=75)
Transcribed Image Text:Axis
210
297 MM
s-7ed-english.pdf - Adobe Acrobat Pro DC
Окно Справка
kupdf.net_analytical... x
↓
339 (350 3 574)
re 8.4.1 The physical pendulum.
0 +
200%
Denoting the angle between the line OCM and the vertical line OA by 0, the moment
of the gravitational force (acting at CM) about the axis of rotation is of magnitude
mgl
I
mgl sin
The fundamental equation of motion N = I then takes the form --mgl sin 0=16
Ä +
↓
sin = 0
+
mgl 0 = 0
Equation 8.4.1 is identical in form to the equation of motion of a simple pendulum.
For small oscillations, as in the case of the simple pendulum, we can replace sin by 0:
(8.4.1)
(8.4.2)
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