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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) ( angular momentum) why N= - mglsin(theta) ? I dont understand why fundamental equation of motion takes form -mglsin

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)
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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