(Compute) What is the scalar projection of force F, in units of lbs, along (or parallel to) position vector r?

For the vectors Shown, analytycally determine the resultant and direction. R = A + B

Part I. Shorter problems focused on the fundamentals a. For the image at the right the coordinate angles are a = 63°, ẞ= 129°, y=44°. What is the unit vector? b-b Y a b. What is the Force vector in cartesian form if the magnitude of the force is 3 lb? y

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 >

(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

Figure 1 (ii) For the system shown in Figure 2, determine (i) the required value of a if resultant of three forces is to be vertical and (ii) the corresponding magnitude of resultant. 200 N CX Figure 2 Ja 30⁰ 150 N 100 N

2. The triple scalar product u. (rx F) results in a. A scalar quantity (+ or -) b. A vector quantity c. Zero d. A unit vector e. An imaginary number

Statics Question. What is the moment about CD in Catesian Cordinates

See image for question. Thanks.