Relative Motion Analysis using Rotating Axes, use the formulas attached to find the solution to the problem, in addition you can use Relative motion using translating axes to find velocity and acceleration of D and E, but to find the velocity of C you must use the rotating axis formula given, the formula given is a general formula. State which where the axis XYZ and xyz will be. Solve in vector form. The mechanism shown consists of rigid members AB, BC, DE, and EF, whichare pinned at A, B, D, E, and F. End C of member BC is pinned to a block whichslides on member DE. For the given position, @AB = 2 rad per sec clockwise andαAB = 3 rad per sec² counterclockwise. Determine the velocity and acceleration ofthe block at C for this position.3'4'DBA4'C4'E435' Accelerationa³ = a₁ + ²X PB/A + ²x (@XFBA) +25ZX (VBIA) +ag = acceleration of B, measured from the X, Y, Z referenceaA = acceleration of A, measured from the x, y, z reference(aB/A)xyz, (VB/A)xyz = acceleration and velocity of B with respect to A,as mesaured by an observer attached to the rotating x,y,z reference., angular acceleration and angular velocity of the x, y, z referencemeasured from X, Y, Z.TB/A= position of B with respect to AAccelerationTaking time derivativedvest18"(V8/A)x+zVB√B = VA + SEX √B/A + (US/A)XNz(AB/A) 2dva +dexroa + exdrea +-XrB/Aatdtdt+ex PBA+drBiadt+d(√BIA) XYZatd (√5 /A) XYZdt

Answered: Relative Motion Analysis using Rotating…

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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Relative Motion Analysis using Rotating Axes, use the formulas attached to find the solution to the problem, in addition you can use Relative motion using translating axes to find velocity and acceleration of D and E, but to find the velocity of C you must use the rotating axis formula given, the formula given is a general formula. State which where the axis XYZ and xyz will be. Solve in vector form.

The mechanism shown consists of rigid members AB, BC, DE, and EF, which
are pinned at A, B, D, E, and F. End C of member BC is pinned to a block which
slides on member DE. For the given position, @AB = 2 rad per sec clockwise and
αAB = 3 rad per sec² counterclockwise. Determine the velocity and acceleration of
the block at C for this position.
3'
4'
D
B
A
4'
C
4'
E
4
3
5'

Acceleration
a³ = a₁ + ²X PB/A + ²x (@XFBA) +25ZX (VBIA) +
ag = acceleration of B, measured from the X, Y, Z reference
aA = acceleration of A, measured from the x, y, z reference
(aB/A)xyz, (VB/A)xyz = acceleration and velocity of B with respect to A,
as mesaured by an observer attached to the rotating x,y,z reference.
, angular acceleration and angular velocity of the x, y, z reference
measured from X, Y, Z.
TB/A= position of B with respect to A
Acceleration
Taking time derivative
dve
st
18
"
(V8/A)x+z
VB
√B = VA + SEX √B/A + (US/A)XNz
(AB/A) 2
dva +dexroa + exdrea +
-XrB/A
at
dt
dt
+ex PBA+
drBia
dt
+
d(√BIA) XYZ
at
d (√5 /A) XYZ
dt

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Velocity of C relative to D isn't 0 since block C slides along member DE, while member DE rotates, and you didn't use the formula for rotating axis

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