R₂ a 83 02 02 R1 ground d R3 b 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 velocity equations in both algebraic and matrix form to solve for wз and b. What are the vector position and velocity equations? Your matrix equation must be in the form [BH] 2. From part 1 derive the matrix equation to solve for @3 and b. B 3. With the values R₂ = 2 in, R3 = 10 in, R₁ = 8 in, 0₂ = 40°, 03 = 185° and w2= 10 rad/sec. solve for 3 and b. B-[[[][] Do not forget units.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom
Section: Chapter Questions
Problem 11.54E
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R₂
a
83
02
02
R1
ground
d
R3 b
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 velocity
equations in both algebraic and matrix
form to solve for wз and b.
What are the vector position and
velocity equations?
Your matrix equation must be in the
form
[BH]
2. From part 1 derive the matrix equation
to solve for @3 and b.
B
3. With the values R₂ = 2 in, R3 = 10 in,
R₁ = 8 in, 0₂ = 40°, 03 = 185° and
w2= 10 rad/sec. solve for 3 and b.
B-[[[][]
Do not forget units.
Transcribed Image Text:R₂ a 83 02 02 R1 ground d R3 b 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 velocity equations in both algebraic and matrix form to solve for wз and b. What are the vector position and velocity equations? Your matrix equation must be in the form [BH] 2. From part 1 derive the matrix equation to solve for @3 and b. B 3. With the values R₂ = 2 in, R3 = 10 in, R₁ = 8 in, 0₂ = 40°, 03 = 185° and w2= 10 rad/sec. solve for 3 and b. B-[[[][] Do not forget units.
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