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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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…
Consider (Figure 1). Assume F-300 lb. Figure 4 ft 1 ft 4 ft 0 F B 2 ft ▼ Part A Determine the moment of force F about point O. Express the result as a Cartesian vector. Enter the z, y and 2 components of the moment of force separated by commas. Express your answers in pound-feet to three significant figures. ▸ View Available Hint(s) Mo = Submit ΤΟΠΙ ΑΣΦ | 17 Provide Feedback Ivec A → C ? neviem lb-ft Next >
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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 h Z X The traffic light has a mass of 75 kg The distances are: a = 4 m, 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 = 4m, b = 6 m, c = 9m, h = 6 m. Determine the position vector for OB. The position vector FOB can be written in the form: TOB = TOB₂i+TOB] + Tobak You will have to input each of these three components separately below. Given: • • • The x component of the position vector, TOA = 4 m. They component of the position vector,TOA = -9 m. is the z component of the position vector,TOA = 6 m. 1. What is…