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]. 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) M₂, My, M₂ = Submit AΣo↓ vec ? lb-ft

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]. 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) M₂, My, M₂ = Submit AΣo↓ vec ? lb-ft

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: Please answer 3 and 4. Use the following data as the basis: a = 4 b = 8 c = 4 d = 7 e = 2 f = 2

A: Dear student, According to the guidelines I am allowed to answer only three…

Q: 3 forces (F1, F2, F3) act on the same point on an object. The point of application is the origin of…

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: 1. How do we represent a vector in the Cartesian Vector form for two-dimension and for…

A: Vector - it is a quantity which have direction and magnitude both,it is used to determine the…

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

Q: Cartesian coordinat system; A(0,0,0) B(3,4,0) C(3,4,4) F=-20i+10j+15k N is applied to point C Moment…

Q: A position vector from point B to the line of action of a force vector F is given as: "BF = {-10j +…

A: rBF=-10j+20k m

Q: From the following system of forces where the origin is at point D. Determine: 1. The resultant…

A: To find:

Q: 4.) Determine the moment (scalar value) about axis AB from the cable tension force (T) exerted at…

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: Figure 2 below shows a 400 N force, F, acting on a pipe. 4 m F-400 N 6 m 5 m 4 m Figure 2 i. Find…

A: A position vector for a line representing with two end points can be obtained by subtracting the…

Q: Determine and locate the resultant R of the two forces and one couple acting on the I-beam. 2 m 5 kN…

A: According to the given data in the question We need to find The resultant force with its location

Q: For a system of rectangular coordinates in two dimensions, for a force whose line of action is at an…

A: Given:- Force in rectangular 2D space To find:- Force component along x-axis

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

Q: What is the magnitude of the moment done by the force about the "z-axis" in the following figure. 4…

A: The position vector at which force is acting is determined as, OA→=-3i^-7j^+4k^

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

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

Q: F will do work on a particle only when the particle undergoes a nt in the direction of the force.…

A: we have to establish the relationship in between force and work

Q: 5) A = 2i+3j+5k and B = 3i+6k, Determine the unit vector of (AXB).

Q: 4. What is the vector representation of the position vector, r? ai + bj + ck ai +ej + bk ai + bj d)…

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: Considering the points A(1,-3,1) and B(3,-1,2) whose coordinates are given in meters, as well as a…

A: (1) Write the given data. A=1,-3.1B=3,-1,2F=6 N

Q: For the figure shown if F= 70 lb and 0 = 25 deg. Moreover, the moment produced by force F about the…

Q: Moment is the linear motion produced by a force, on the body, on which it acts. Select one: True…

Q: You are an engineer working for a large construction company. You need to provide design…

Q: The helicopter view in the figure shows two people pulling on a stubborn mule. The person on the…

Q: The system shown consists of 3 cables. For example, cable C12 joins points 1 and 2. The coordinates…

Q: Cartesian coordinat system; A(0,0,0) B(3,4,0) C(3,4,4) F = -20i +10 j+15k N is applied to point C…

A: GIVEN :- Cartesian co-ordinates of point A,B and C : A(0,0,0) , B(3,4,0) & C(3,4,4)…

Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

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

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given:

VIEW

Step 2: Calculation

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 7 images

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

Sample Problem 1.9 Given the vectors A = 8i + 4j - 2k N B = 2j + 6k m C = 3i - 2j + 4k m calculate the following: (1) A - B; (2) the orthogonal component of B in the direc- tion of C; (3) the angle between A and C; (4) A × B; (5) a unit vector that is perpendicular to both A and B; and (6) A × B · C.
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…
Needs Complete typed solution with 100 % accuracy.
(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
1. Please refer to the following vectors:A = 6i + 2j - 3kB = 3i - j - 2kC = -i + j - 4kD = j - 3kE = -i + 2kF = -5kG = 2iH = -3jI = -4i +4j Two airplanes started drifting away from the origin along the directions of displacement vectors {B} km and {E} km respectively. If vectors B and E are their position vectors in rectangular coordinate system after some time t, what will be their separation distance in kilometers? 2. A ball is speeding up along a circular track. What can be said about the velocity and acceleration vectors on the body? 3. In an intersection, a bus moving at (100i) m/s and a truck moving at (200j) m/s collided with each other. Assuming that the two objects have the same mass, what would be their final speed together?
What are the components of the unit vector along line AB? Given that the unit vector along BC ??̂ =< −0.690, 0.6054, 0.3968 >, what is the scalar value of the moment of the tension force in BC around line OA Please show/ provide all written steps for learning and understanding. Thank you!
Statics Question. What is the moment about CD in Catesian Cordinates
Solve within 10 minutes. Handwritten answer please.
Q1:- if the La = [1 3 5] and B =[1:4:6)].... Find the force scaler and force vector?