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

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