A three-legged structure is shown below. It is attached to the ground at points B= (4.14.0. 0) and C= (-4.14. 0,0) and connected to the ceiling at point A-(-4.76 4.77.5.30). The three legs connect at point D = (0, 3.93, 2.00). where two forces, F and P. act. Force F is given by F= 4.40i-17.0j+27.0 k N; P has magnitude 25.0 N and direction angles a = 127.5°. B-58.5°, and y- 53.3° for the x, y, and z axes, respectively. (Eigure 1) Figure D A 1 of 1 Part B - Finding the angle between forces Find the angle between forces F and P. Express your answer to three significant figures in degrees. ▸ View Available Hint(s) 195] ΑΣΦ. 11 Ivec 0- Part C-Determining the force along a member ? 0 Determine the magnitude, FDA acting along member DA, due to the applied force F=4.40i 17.0j+27.0 kN. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s)
A three-legged structure is shown below. It is attached to the ground at points B= (4.14.0. 0) and C= (-4.14. 0,0) and connected to the ceiling at point A-(-4.76 4.77.5.30). The three legs connect at point D = (0, 3.93, 2.00). where two forces, F and P. act. Force F is given by F= 4.40i-17.0j+27.0 k N; P has magnitude 25.0 N and direction angles a = 127.5°. B-58.5°, and y- 53.3° for the x, y, and z axes, respectively. (Eigure 1) Figure D A 1 of 1 Part B - Finding the angle between forces Find the angle between forces F and P. Express your answer to three significant figures in degrees. ▸ View Available Hint(s) 195] ΑΣΦ. 11 Ivec 0- Part C-Determining the force along a member ? 0 Determine the magnitude, FDA acting along member DA, due to the applied force F=4.40i 17.0j+27.0 kN. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
This is the last question I have. Thank you greatly for your help.
![2.9 Dot Product
A three-legged structure is shown below. It is
attached to the ground at points B = (4.14, 0,
0) and C = (-4.14, 0, 0) and connected to the
ceiling at point A = (-4.76, 4.77, 5.30). The
three legs connect at point D = (0, 3.93, 2.00),
where two forces, F and P, act. Force F is given
by F = 4.40 i 17.0j+27.0 k N; P has
magnitude 25.0 N and direction angles
a = 127.5°, ß = 58.5°, and y= 53.3° for the
x, y, and z axes, respectively. (Figure 1)
Figure
B
Part A - Finding the Cartesian components of a force described by direction angles
P =
A
Find the Cartesian components of force P acting in the x, y, and z directions given P = 25.0 N, a = 127.5°,
B = 58.5°, and y= 53.3°. Recall that is the angle between the vector and the x axis, ß is the angle between
the vector and the y axis, and y is the angle between the vector and the z axis.
Express your answers, separated by commas, to three significant figures.
▸ View Available Hint(s)
195| ΑΣΦ
1 of 1
↓↑ vec 3
?
i N, j N, k N
Part B - Finding the angle between forces
Find the angle between forces F and P
Express your answer to three significant figures in degrees.
► View Available Hint(s)
0=
195| ΑΣΦΑ
Part C - Determining the force along a member
FDA =
O
FLDA=
Determine the magnitude, FDA, acting along member DA, due to the applied force
F = 4.40 i 17.0j +27.0 k N.
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
μA
vec
Value
Units
[V—| ΑΣΦ |
[5]
******
?
Part D- Finding the component of a force perpendicular to a direction
?
↓↑ vec
Given F = 4.40 i − 17.0j +27.0 kN, find the component of F that acts perpendicular to member DA such
that the vector addition of the perpendicular and parallel components of F (F= F₁+F) with respect to DA
equals F. Express your answer in component form.
Express your answers, separated by commas, to three significant figures.
► View Available Hint(s)
O
www
?
i N, j N, k N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd261088c-f753-45e4-ae14-7adbaf3c257c%2F7f0bfb2a-8284-4b62-9685-51082f7fe182%2Fzbenych_processed.png&w=3840&q=75)
Transcribed Image Text:2.9 Dot Product
A three-legged structure is shown below. It is
attached to the ground at points B = (4.14, 0,
0) and C = (-4.14, 0, 0) and connected to the
ceiling at point A = (-4.76, 4.77, 5.30). The
three legs connect at point D = (0, 3.93, 2.00),
where two forces, F and P, act. Force F is given
by F = 4.40 i 17.0j+27.0 k N; P has
magnitude 25.0 N and direction angles
a = 127.5°, ß = 58.5°, and y= 53.3° for the
x, y, and z axes, respectively. (Figure 1)
Figure
B
Part A - Finding the Cartesian components of a force described by direction angles
P =
A
Find the Cartesian components of force P acting in the x, y, and z directions given P = 25.0 N, a = 127.5°,
B = 58.5°, and y= 53.3°. Recall that is the angle between the vector and the x axis, ß is the angle between
the vector and the y axis, and y is the angle between the vector and the z axis.
Express your answers, separated by commas, to three significant figures.
▸ View Available Hint(s)
195| ΑΣΦ
1 of 1
↓↑ vec 3
?
i N, j N, k N
Part B - Finding the angle between forces
Find the angle between forces F and P
Express your answer to three significant figures in degrees.
► View Available Hint(s)
0=
195| ΑΣΦΑ
Part C - Determining the force along a member
FDA =
O
FLDA=
Determine the magnitude, FDA, acting along member DA, due to the applied force
F = 4.40 i 17.0j +27.0 k N.
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
μA
vec
Value
Units
[V—| ΑΣΦ |
[5]
******
?
Part D- Finding the component of a force perpendicular to a direction
?
↓↑ vec
Given F = 4.40 i − 17.0j +27.0 kN, find the component of F that acts perpendicular to member DA such
that the vector addition of the perpendicular and parallel components of F (F= F₁+F) with respect to DA
equals F. Express your answer in component form.
Express your answers, separated by commas, to three significant figures.
► View Available Hint(s)
O
www
?
i N, j N, k N
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 6 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
