Answered: The paint stirrer shown in the figure…

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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Question

The paint stirrer shown in the figure is made from a rod of length 7b and mass rho per unit length. Before immersion in the paint, the stirrer is rotating freely at a constant high angular velocity w about its z-axis. Determine the bending moment M in the rod at the base O of the chuck.

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Follow-up Question

I understand that part, but from where do you collect the formula for the sum of Mx, My and Mz etc. In my textbook it says for example (see picture) for parallel-plane motion.

Is my formula incorrect? or do you mix two formulas together?

h
are parallel to a
has a general form of plane motion, as described in Art. 7/4
33. Every line in such a body which is normal to the fixed pla
itself at all times. We take the mass center G as the origin of
are attached to the body, with the x-y plane coinciding with -
ewx = wy = 0, @₂0. For this case, the angular-momentum
e components of the angular velocity of both the body and t
he
Nation-BAY Bitten to
12 become
legioning
Hy
Hx= -1xz@z
H₂ = -1x₂₂ H₂ = -1
911
ment relations of Eqs. 7/20 reduce to
ΣΜ
ΣMx =
ب و کار می
2
− I xz W₂ + IyzWz
2
ΣMy = −Iyzw₂ - Ixzw ₂²
=
ΣΜ = Iz
Z
ΣΕ,
ΣFx = max
nodoid
dow
H₂ = Izzwzybod ada
od 08\T.ap3 bus 019
Seqest de
omen
on
25d vom vbod
he third moment equation is equivalent to the second
point O.
is passes through the mass center, or to Eq. 6/4 if the z-
DITS
13
3
20
anoitsup
7/23 hold for an origin of coordinates at the mass cente
or any origin on a fixed axis of rotation. The three indepe
tion which also apply to parallel-plane motion are clearl
29VI9
ΣF, = may SF, = 0
=
23 find special use in describing the effect of dynamic
inery and i

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Follow-up Question

How does the My and Mz become 0? is there any explanation?

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