A thin isosceles-triangular plate of height h and width w is pinned to a vertical shaft at point P as shown in Figure la. The shaft rotates with respect to an inertial frame about its (vertical) axis with constant rate N. Find the equation of motion for the plate angle ø. Ω 1 Ixx mw? 18 %3D 1 h/3 lyy mh? 18 h B* y 1 Izz 18 m(h² + w²) %3D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A thin isosceles-triangular plate of height h and width w is pinned to a vertical shaft at point P as shown
in Figure la. The shaft rotates with respect to an inertial frame about its (vertical) axis with constant rate
N. Find the equation of motion for the plate angle ø.
Ω
1
Ixx
mw²
18
1
lyy
;mh?
18
h
h/3
h
B*
y
1
Izz
m(h?
+ w?)
18
Transcribed Image Text:A thin isosceles-triangular plate of height h and width w is pinned to a vertical shaft at point P as shown in Figure la. The shaft rotates with respect to an inertial frame about its (vertical) axis with constant rate N. Find the equation of motion for the plate angle ø. Ω 1 Ixx mw² 18 1 lyy ;mh? 18 h h/3 h B* y 1 Izz m(h? + w?) 18
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