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

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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

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