Learning Goal: To understand the concept of moment of a force and how to calculate it using a vector formulation. Part A A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000, 0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u = (-1/3)i+ (2/3)j + (2/3)k. He pulls with a force F = 36.0 Ib from point A [(3.00, 4.00, 0.000) ft]. What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin? Express your answers numerically in pound-feet to three significant figures separated by commas. М. М,, М, - 96,-72, 120 1b -ft Submit Previous Answers Completed Part B Figure < 1 of 1> Find the magnitude of the moment, and e, the angle between r and the force F. Express your answers in pound-feet and degrees to three significant figures separated by a comma. Πνα ΑΣΦ ve M,0 = lb ft,degrees Submit Request Answer

Learning Goal: To understand the concept of moment of a force and how to calculate it using a vector formulation. Part A A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000, 0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u = (-1/3)i+ (2/3)j + (2/3)k. He pulls with a force F = 36.0 Ib from point A [(3.00, 4.00, 0.000) ft]. What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin? Express your answers numerically in pound-feet to three significant figures separated by commas. М. М,, М, - 96,-72, 120 1b -ft Submit Previous Answers Completed Part B Figure < 1 of 1> Find the magnitude of the moment, and e, the angle between r and the force F. Express your answers in pound-feet and degrees to three significant figures separated by a comma. Πνα ΑΣΦ ve M,0 = lb ft,degrees Submit Request Answer

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Problem 8) In Figure 1.8 below, the man on the left pulls a rope with a force which has a magnitude…

Q: Problem 1. Three circles are tangent externally. The distance between their centers are 60 m, 73 m,…

Q: Problem 6: Values: A = 13 lb 0₁ = 20° 0₂ = 60° Use the figure shown on the right to complete the…

Q: Which are the Matrices of a vector?

A: When a matrix is having either one row or either one column then it is defined as vector.

Q: Consider the right-handed coordinate system below. The force F = 800 N has its line of action…

Q: Write force F2 in vector form

Q: What is the Cartesian vector representation of the unit vector pointing to point B from point A?

A: The position vector of point A rA→=(-150×cos30o)i+(-150×sin30o)j mmrA→=(-129.904)i+(-75)j mm The…

Q: The traffic light shown below is supported by a system of cables. Points A and B are in a vertical…

A: The dimension are The mass of traffic light is

Q: Problem a) The vector shown below has a magnitude of 200 N and is acting 15° from the vertical axis.…

A: (a) P=200 N , Angle theta is 60° (b) Px= 12 lb, Py= 5 lb

Q: 4.2 Please help. Written on paper not typed on computer or keyboard please. Need help both…

A: Step 1: Step 2: Step 3: Step 4:

Q: to goxo Yo²o, and p¹ = [1]. Find rotation matrices R and R, and show that RR = 1, where I is an…

A: The preceding method entails applying linear algebra techniques to the issue of determining the…

Q: Question #1: For the figure below, find the moment of the two forces about point (x,y,z) = (1,2,3)…

Q: Use the following information for the system shown below: 1. The object (T-beam) is shown in black.…

Q: e. A force acts along a line connecting point 1 ( -14,58,71 ) ft. and point 243,-13,34 ) ft. What is…

A: Step 1: Step 2: Step 3: Step 4:

Q: Q) A simplified model as shown in figure below of a planar robotic arm. You may assume that each…

Q: Help!!! Please help part A and B. Answer correctly

A: Part A: The correct statements describing the location and position vector of point A from the…

Q: A 10N force is applied at point A (2,2) in a Cartesian coordinate system. This force is parallel…

A: Given: The load, P = 10 N The initial position of the system (x1,y1) = (2,2) m The final position of…

Q: Help!! Answer correctly

A: Step 1: Step 2: Step 3: Step 4:

Q: Needs Complete typed solution with 100 % accuracy.

A: The objective of this question is to calculate the moment created by the force applied by the…

Question

Learning Goal:
To understand the concept of moment of a force and how to
calculate it using a vector formulation.
Part A
A man wishes to spin a merry-go-round in the x-y plane centered at
the origin (0.000, 0.000, 0.000). (Figure 1) Because he must pull
upward and cannot stand on the merry-go-round, he must apply a
force in the direction of the unit vector
What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin?
Express your answers numerically in pound-feet to three significant figures separated by commas.
u = (-1/3)i+ (2/3)j+(2/3)k. He pulls with a force F = 36.0
lb from point A [(3.00, 4.00, 0.000) ft].
Mg, My, M2 = 96, – 72, 120 lb - ft
Submit
Previous Answers
Completed
Part B
Figure
1 of 1
>
Find M, the magnitude of the moment, and 0, the angle between r and the force F.
Express your answers in pound-feet and degrees to three significant figures separated by a comma.
ΑΣΦ
?
vec
M,0 =
lb · ft,degrees
Submit
Request Answer
A
< Return to Assignment
Provide Feedback

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!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Learning Goal: To understand the concept of moment of a force and how to calculate it using a vector formulation. A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000, 0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u = (-1/3)i+(2/3)j+(2/3) k. He pulls with a force F = 47.0 lb from point A[(3.00, 4.00, 0.000) ft]. Part A What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin? Express your answers numerically in pound-feet to three significant figures separated by commas. ► View Available Hint(s) VE ΑΣΦ Mz, My, M₂ = Submit Part B Complete previous part(s) Provide Feedback vec ? lb-ft
A vector B is 10 cm. long and has a direction – sense of 45°. Vector C is 15 cm. long and has a direction sense of 150°, Find the vector sum or resultant magnitude and its direction by; y 1. Mathematical Solution, 2. Graphical Solution. Scale: 1:1 cm. 3. Draw the position of resultant. 1500 e 450
Learning Goal: To gain insight into the independence of the scalar triple product from the point on the line chosen as the reference point of the calculation. The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P and Q) can be calculated using the scalar triple product, MPQ = = upq r x F, where r is a position vector from any point on the line through P and Q to R and up is the unit vector in the direction of line segment PQ. The unit vector upq is then multiplied by this magnitude to find the vector representation of the moment. As shown in the figure, the member is anchored at A and section AB lies in the x-y plane. The dimensions are x₁ = 1.2 m, y₁ = 1.8 m, and z1₁ = 1.6 m. The force applied at point C is F = [-170 i +105 j + 110 k] N. Figure B 1 of 1 Using the position vector from A to C, calculate the moment about segment AB due to force F. Express the individual components to three…
Help!! Solve part D correctly.
pay attention to the allow and F2 direction on 2a
2-19.Find the horizontal and vertical components of each vector in Figure P2–19. 60 lb 30° FIGURE P2-19a 70° 80k FIGURE P2-19b 500 ft/sec 4 3 FIGURE P2-19c 8 15 34 mph FIGURE P2-19d
Adding Vectors...Using mathematics, determine what third mass is needed to balance the two masses listed below. Vector #1 Vector # 2 Vector #3 Resultant 50 grams at 0° 50 grams at 0° 50 grams at 0° 50 grams at 0° 50 grams at 0° 150 grams at 180 ° 100 grams at 90 0. 100 grams at 120° 150 grams at 120 0. 0. 120 grams at 90 01
The traffic light shown below is supported by a system of cables. Points A and B are in a vertical plane which is parallel to the x-z plane. Point C is in the y-z plane. B Z X The traffic light has a mass of 75 kg The distances are: a = 4m, b = 6 m, c = 9 m, h = 6 m To answer the next set of questions you will determine the following: a. Position vectors for OA, OB, OC b. Unit vectors for OA, OB, OC c. Overall equilibrium equation d. Equilibrium equations in each of the x, y and z directions e. The tensions in the cables OA, OB and OC The traffic light has a mass of 75 kg. The distances are: a = 4 m, b = 6 m, c = 9 m, h = 6 m. Determine the position vector for OA. The position vector FOA can be written in the form: TOA = TOAzi+TOAİ+TOA-k You will have to input each of these three components separately below. Given: • The x component of the position vector,IOA = 4 m. • They component of the position vector,TOA = -9 m. 1. What is the z component of the position vector,TOA? Please report…
(a) Suppose you know the coordinates of two points A and B. How do you determine the scalar components of the position vector of point B relative to point A? (b) During the construction of a bridge, a bracket shown in Figure 1 was used to temporarily hold two cables FA and Fg = 600 N. After a while, you noticed that the bracket is shaking and slowly being pulled out of the wall by the cables. Given that e = 20°, find the resultant force and its direction counter clockwise from the positive y axis. FA 700 N 30 A Figure 1
Need some assistance with this. l = 1.95 mm. w= 1.89 mm. h= 5.82 m. Coordinates for Point A is A(2,2,2)m Coordinates for Point D is D(2.25,2.5,0)m Force F acts along EA, (Magnitude is 55N) Force P acTS along AD 1. What is force F in Cartesian Vector form. (Fx, Fy, Fz) 2. If we are calculating the moment that Force F creates about point B, WHAT vectors will be used ? 3. If we are calculating the moment that Force P creates about point B , WHAT vectors will be used ? 4. What is BC as position vector rBC. ( rBCx, rBCy, rBCz ) 5. What is BC as unit vector uBC. (uBCx, uBCy, uBCz ) 6. What is the moment that F creates around B ? (MB) 7. What is the magnitude of the moment that F creates around axis BC. ( |MBC| )
I need help with parts a,b,c. All three figures are in the corners that align with each problem :)
Don't Use Chat GPT Will Upvote And Give Handwritten Solution Please