In [2]: import sympy as sp # Define symbols m, 1, b, omega= sp.symbols ('m 1 b omega') Ix = 1/12 * m*1**2 In [3]: # Inertia matrices of rods about their mass centers (G) I_G1= sp.Matrix ([[0, 0, 0], [0, Ix, 0], [0, 0, Ix]]) I_G2= sp.Matrix ([[Ix, 0, 0], [0, 0, 0], [0, 0, Ix]]) I_G3= sp.Matrix ([[Ix, 0, 0], [0, Ix, 0], [0, 0, 0]]) In [4]: # Position vectors of mass centers of rods relative to the mass center S* r_Gl_Sstar= sp.Matrix ([-b/2, 0, 0]) r_G2_Sstar = sp.Matrix ([0, -b/2, 0]) r_G3_Sstar = sp.Matrix ([0, 0, -b/2]) # Inertia matrices of rods about S* using the parallel axis theorem I_R1_Sstar=I_G1 + mr_Gl_Sstar.cross (r_Gl_Sstar).cross (sp.eye (3)) I_R2_Sstar=I_G2 + m r_G2_Sstar.cross (r_G2_Sstar).cross (sp.eye (3)) I_R3_Sstar = I_G3+ m* r_G3_Sstar.cross (r_G3_Sstar).cross (sp.eye (3)) ShapeError /var/folders/nk/sfvkdtp13jz_9vg5qxdyqjf00000gn/T/ipykernel_2376/3050223977.py in 4 r_G3_Sstar = sp.Matrix ([0, 0, -b/2]) 5 # Inertia matrices of rods about S* using the parallel axis theorem 6 I R1_Sstar=I_G1 + mr_G1_Sstar.cross (r_G1_Sstar).cross (sp.eye (3)) I_R2_Sstar 7 I_G2+ mr_G2_Sstar.cross (r_G2_Sstar).cross (sp.eye (3)) 8 I R3_Sstar = I_G3+ mr_G3_Sstar.cross (r_G3_Sstar).cross (sp.eye (3)) -/opt/anaconda3/lib/python3.9/site-packages/sympy/matrices/matrices.py in cross (self, b) 1291 1292 ->1293 1294 1295 Traceback (most recent call last) if not (self.rows *self.cols= b.rows* b.cols == 3): raise ShapeError("Dimensions incorrect for cross product: 88 x 8s" 8 ((self.rows, self.cols), (b.rows, b.cols))) else: ShapeError: Dimensions incorrect for cross product: (3, 1) x (3, 3)
In [2]: import sympy as sp # Define symbols m, 1, b, omega= sp.symbols ('m 1 b omega') Ix = 1/12 * m*1**2 In [3]: # Inertia matrices of rods about their mass centers (G) I_G1= sp.Matrix ([[0, 0, 0], [0, Ix, 0], [0, 0, Ix]]) I_G2= sp.Matrix ([[Ix, 0, 0], [0, 0, 0], [0, 0, Ix]]) I_G3= sp.Matrix ([[Ix, 0, 0], [0, Ix, 0], [0, 0, 0]]) In [4]: # Position vectors of mass centers of rods relative to the mass center S* r_Gl_Sstar= sp.Matrix ([-b/2, 0, 0]) r_G2_Sstar = sp.Matrix ([0, -b/2, 0]) r_G3_Sstar = sp.Matrix ([0, 0, -b/2]) # Inertia matrices of rods about S* using the parallel axis theorem I_R1_Sstar=I_G1 + mr_Gl_Sstar.cross (r_Gl_Sstar).cross (sp.eye (3)) I_R2_Sstar=I_G2 + m r_G2_Sstar.cross (r_G2_Sstar).cross (sp.eye (3)) I_R3_Sstar = I_G3+ m* r_G3_Sstar.cross (r_G3_Sstar).cross (sp.eye (3)) ShapeError /var/folders/nk/sfvkdtp13jz_9vg5qxdyqjf00000gn/T/ipykernel_2376/3050223977.py in 4 r_G3_Sstar = sp.Matrix ([0, 0, -b/2]) 5 # Inertia matrices of rods about S* using the parallel axis theorem 6 I R1_Sstar=I_G1 + mr_G1_Sstar.cross (r_G1_Sstar).cross (sp.eye (3)) I_R2_Sstar 7 I_G2+ mr_G2_Sstar.cross (r_G2_Sstar).cross (sp.eye (3)) 8 I R3_Sstar = I_G3+ mr_G3_Sstar.cross (r_G3_Sstar).cross (sp.eye (3)) -/opt/anaconda3/lib/python3.9/site-packages/sympy/matrices/matrices.py in cross (self, b) 1291 1292 ->1293 1294 1295 Traceback (most recent call last) if not (self.rows *self.cols= b.rows* b.cols == 3): raise ShapeError("Dimensions incorrect for cross product: 88 x 8s" 8 ((self.rows, self.cols), (b.rows, b.cols))) else: ShapeError: Dimensions incorrect for cross product: (3, 1) x (3, 3)
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Concept explainers
Types of Linked List
A sequence of data elements connected through links is called a linked list (LL). The elements of a linked list are nodes containing data and a reference to the next node in the list. In a linked list, the elements are stored in a non-contiguous manner and the linear order in maintained by means of a pointer associated with each node in the list which is used to point to the subsequent node in the list.
Linked List
When a set of items is organized sequentially, it is termed as list. Linked list is a list whose order is given by links from one item to the next. It contains a link to the structure containing the next item so we can say that it is a completely different way to represent a list. In linked list, each structure of the list is known as node and it consists of two fields (one for containing the item and other one is for containing the next item address).
Question
100%
How can I solve this error
![In [2]: import sympy as sp
# Define symbols
m, 1, b, omega= sp.symbols ('m 1 b omega')
Ix = 1/12 * m* 1**2
In [3]: # Inertia matrices of rods about their mass centers (G)
I_G1 = sp.Matrix ([[0, 0, 0], [0, Ix, 0], [0, 0, Ix]])
I_G2
sp.Matrix ([[Ix, 0, 0], [0, 0, 0], [0, 0, Ix]])
sp.Matrix ([[Ix, 0, 0], [0, Ix, 0], [0, 0, 011)
I_G3=
In [4]: # Position vectors of mass centers of rods relative to the mass center S*
r_Gl_Sstar = sp.Matrix ([-b/2, 0, 0])
r_G2_Sstar = sp.Matrix ([0, -b/2, 0]).
r_G3_Sstar = sp.Matrix ( [0, 0, -b/2])
# Inertia matrices of rods about S* using the parallel axis theorem
I_R1_Sstar = I_G1 + m *r_Gl_Sstar.cross (r_Gl_Sstar).cross (sp.eye (3))
I_R2_Sstar=I_G2 + m * r_G2_Sstar.cross (r_G2_Sstar).cross (sp.eye (3))
I_R3_Sstar = I_G3 + m *r_G3_Sstar.cross (r_G3_Sstar).cross (sp.eye (3))
ShapeError
/var/folders/nk/sfvkdtp13jz_9vg5qxdyqjf00000gn/T/ipykernel_2376/3050223977.py in <module>
4 r_G3_Sstar = sp.Matrix ([0, 0, -b/2])
5 # Inertia matrices of rods about S* using the parallel axis theorem
I_G1 + mr_G1_Sstar.cross (r_Gl_Sstar).cross (sp.eye (3))
6 I R1_Sstar
7 I_R2_Sstar = I_G2 + mr_G2_Sstar.cross (r_G2_Sstar).cross (sp.eye (3))
8 I R3_Sstar I_G3+ mr_G3_Sstar.cross (r_G3_Sstar).cross (sp.eye (3))
-/opt/anaconda3/lib/python3.9/site-packages/sympy/matrices/matrices.py in cross (self, b)
if not (self.rows* self.cols == b.rowsb.cols == 3) :
raise ShapeError("Dimensions incorrect for cross product: %s x %s" 8
((self.rows, self.cols), (b.rows, b.cols)))
1291
1292
1293
1294
1295
Traceback (most recent call last)
else:
ShapeError: Dimensions incorrect for cross product: (3, 1) x (3, 3)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F226fee03-c629-4185-8cef-0e29840a7a8d%2Fe033879e-f4e6-40e8-8793-8743c9711ef2%2Fwh9yro6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In [2]: import sympy as sp
# Define symbols
m, 1, b, omega= sp.symbols ('m 1 b omega')
Ix = 1/12 * m* 1**2
In [3]: # Inertia matrices of rods about their mass centers (G)
I_G1 = sp.Matrix ([[0, 0, 0], [0, Ix, 0], [0, 0, Ix]])
I_G2
sp.Matrix ([[Ix, 0, 0], [0, 0, 0], [0, 0, Ix]])
sp.Matrix ([[Ix, 0, 0], [0, Ix, 0], [0, 0, 011)
I_G3=
In [4]: # Position vectors of mass centers of rods relative to the mass center S*
r_Gl_Sstar = sp.Matrix ([-b/2, 0, 0])
r_G2_Sstar = sp.Matrix ([0, -b/2, 0]).
r_G3_Sstar = sp.Matrix ( [0, 0, -b/2])
# Inertia matrices of rods about S* using the parallel axis theorem
I_R1_Sstar = I_G1 + m *r_Gl_Sstar.cross (r_Gl_Sstar).cross (sp.eye (3))
I_R2_Sstar=I_G2 + m * r_G2_Sstar.cross (r_G2_Sstar).cross (sp.eye (3))
I_R3_Sstar = I_G3 + m *r_G3_Sstar.cross (r_G3_Sstar).cross (sp.eye (3))
ShapeError
/var/folders/nk/sfvkdtp13jz_9vg5qxdyqjf00000gn/T/ipykernel_2376/3050223977.py in <module>
4 r_G3_Sstar = sp.Matrix ([0, 0, -b/2])
5 # Inertia matrices of rods about S* using the parallel axis theorem
I_G1 + mr_G1_Sstar.cross (r_Gl_Sstar).cross (sp.eye (3))
6 I R1_Sstar
7 I_R2_Sstar = I_G2 + mr_G2_Sstar.cross (r_G2_Sstar).cross (sp.eye (3))
8 I R3_Sstar I_G3+ mr_G3_Sstar.cross (r_G3_Sstar).cross (sp.eye (3))
-/opt/anaconda3/lib/python3.9/site-packages/sympy/matrices/matrices.py in cross (self, b)
if not (self.rows* self.cols == b.rowsb.cols == 3) :
raise ShapeError("Dimensions incorrect for cross product: %s x %s" 8
((self.rows, self.cols), (b.rows, b.cols)))
1291
1292
1293
1294
1295
Traceback (most recent call last)
else:
ShapeError: Dimensions incorrect for cross product: (3, 1) x (3, 3)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education