Show your work at each step. Answers without details will not be accepted. ₤3 R₂ a 02 R1 02 d ground R3 b Solve this with any tool you want. MATLAB, Python, EXCELL, etc. For the 3Bar Inverted Crank Slider shown, 1. Starting with the position equation R=Au, where A is the rotation matrix about the z axis and u is a point on the position vector, derive the acceleration equation in both algebraic and matrix form to solve for α and b. What are the vector loop closure equations for position, velocity and acceleration? Your matrix equation must be in the form [BH] 2. From part 1 derive the matrix equation to solve for α, and 5. --8-1 B 3. With the values R2 = 2 in, R3 = 10 in, R₁ = 8 in, 0₂ = 40°, 03 = 185°, α₂ = 0 W2= 10 rad/sec. W3= 1.64 rad/sec, b=-11.5 in/sec. solve for a, and b В B-[%]-[ IH] Do not forget units.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter16: Advanced Automatic Controls-direct Digital Controls (ddcs) And Pneumatics
Section: Chapter Questions
Problem 4RQ: A control loop contains _______, _______, and _________.
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Related questions
Question
Show your work at each step. Answers without details will not be accepted.
₤3
R₂
a
02
R1
02
d
ground
R3 b
Solve this with any tool you want.
MATLAB, Python, EXCELL, etc.
For the 3Bar Inverted Crank Slider shown,
1. Starting with the position equation
R=Au, where A is the rotation matrix
about the z axis and u is a point on the
position vector, derive the
acceleration equation in both algebraic
and matrix form to solve for α and b.
What are the vector loop closure
equations for position, velocity and
acceleration?
Your matrix equation must be in the
form
[BH]
2. From part 1 derive the matrix equation
to solve for α, and 5.
--8-1
B
3. With the values R2 = 2 in, R3 = 10 in,
R₁ = 8 in, 0₂ = 40°, 03 = 185°, α₂ = 0
W2= 10 rad/sec. W3= 1.64 rad/sec,
b=-11.5 in/sec. solve for a, and b
В
B-[%]-[
IH]
Do not forget units.
Transcribed Image Text:Show your work at each step. Answers without details will not be accepted. ₤3 R₂ a 02 R1 02 d ground R3 b Solve this with any tool you want. MATLAB, Python, EXCELL, etc. For the 3Bar Inverted Crank Slider shown, 1. Starting with the position equation R=Au, where A is the rotation matrix about the z axis and u is a point on the position vector, derive the acceleration equation in both algebraic and matrix form to solve for α and b. What are the vector loop closure equations for position, velocity and acceleration? Your matrix equation must be in the form [BH] 2. From part 1 derive the matrix equation to solve for α, and 5. --8-1 B 3. With the values R2 = 2 in, R3 = 10 in, R₁ = 8 in, 0₂ = 40°, 03 = 185°, α₂ = 0 W2= 10 rad/sec. W3= 1.64 rad/sec, b=-11.5 in/sec. solve for a, and b В B-[%]-[ IH] Do not forget units.
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