15. A bead slides without friction on a wire which is rotating with angular velocity, o in the force free space. Write down the Y4 Wire Lagrange's equation of motion and show that radial velocity is given by P(x. y) Bead dr (@22 +constant)/2 %3D dt (i) radial acceleration is given by We have * = 0? r-g sin ot. where 0 = wt X =r cos e Fig. 2.26. y =r sin e or

15. A bead slides without friction on a wire which is rotating with angular velocity, o in the force free space. Write down the Y4 Wire Lagrange's equation of motion and show that radial velocity is given by P(x. y) Bead dr (@22 +constant)/2 %3D dt (i) radial acceleration is given by We have * = 0? r-g sin ot. where 0 = wt X =r cos e Fig. 2.26. y =r sin e or

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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15. A bead slides without friction on a wire which is rotating
with angular velocity, o in the force free space. Write down the
Y4
Wire
Lagrange's equation of motion and show that
P(x. y)
Bead
dr
radial velocity is given by
= (@? ,2 + constant)/2
dt
(ii) radial acceleration is given by r = 02r-g
We have
X =r cos 6
where 0 = wt
%3D
Fig. 2.26.
y =r sin 0
or 0 = 0
%3D

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