Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Conservation of Energy
In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…
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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'
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Transcribed Image Text: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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Transcribed Image Text: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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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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