Consider the force system shown in the image. Assume the magnitude of the force in the second image is 80N. a. Write each force in terms of its components. b. Determine the Resultant force of the force system.
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- The resultant of the concurrent forces has a magnitude of 1000 N passing through points (x₁ = 0, y₁ = 0, z₁ = 0) and (x₂ = 2, y₂ = 3, z₂ = 4). 1. Compute the x- component of the resultant force. a. 371.1 N b. 392.3 N c. 422.6 N d. 245.9 N 2. Compute the y – component of the resultant force. a. 512.9 N b. 557.1 N c. 435.8 N d. 634.7 N 3. Compute the z – component of the resultant force. a. 632.7 N b. 642.8 N c. 742.1 N d. 791.3 NA. Refer on the figure and answer the following questions below: Performance Task Q,- - 9.3nC 200 Joir5.32 4.5.C: Q1 45 cm 0=54.03° 17 em 1. Find the resultant force acting on Q1. a. Determine the Fnet and Fnety b. Calculate the magnitude and angle of the resultant force on Q1.4) Forces of 99.0 N [E30.0N], 75.2 N [S40.0W] and 19.0 N [E15S] act on an object. a. Draw vector and FBD diagrams of the three original vectors b. Find the resultant of the three vectors. What would a fourth force need to be to make the net force zero? Explain your answer. c.
- A patient with a dislocated shoulder is put into a traction apparatus as shown in Figure 1. TE magnitudes of the forces A and B are 6.4 N and 5.3 N. 32° 32° B Figure 1 1. What are the x and y-component of A ? 2. What are the x and y-components of B ? 3. If R = A +B then what are the components of R ?Please referto the figure at the right side for the following questions: 1. a. Determine the magnitude of the resultant force and its direction, В 30 N 10 kg measured counterclockwise from D positive x- axis of forces OC and OH only. b. Resolve force OB into its x,y and z 60° 159 3m E 70 N 60 50 N / components, express its force as a cartesian vector and determine the 4m 300 75 N coordinate direction angles of the 60 N Y K force OB. A 4 m c. Determine the angle between OB and Ol. 70° 45° F 65 N d. Determine the magnitude of the 3 m resultant forces and its direction acting in the figure. Sketch your 50 N 80° 80 N result. 90 N 40 NHW1.4. 2D Moment resultant Two forces lying in the x-y plane are defined by their magnitudes and direction angles, as shown in the figure below. Force F₁ has a magnitude F₁ = 360 N, an angle 0₁ = 109°, and acts at point A (310, 0) mm. Force F₂ has a magnitude F₂ = 270 N, an angle 02 = 56°, and acts at point B = (0,385) mm. Determine the total moment about point O due to these two forces. Remember to follow the standard sign convention for clockwise (-) and counter-clockwise (+) moments. y B 10 02 F₂ F₁ A 0₁ X TEGINGEN
- Conters QZ02 Determine the resultant of forces A and B, and state the direction of the resultant force measured from the positive x axis. 1. Resolve forces into components. 2. Express force vectors as Cartesian vectors. 3. Add like-components together. 4. Use Pythagorean theorem to obtain the magnitude and direction. a 30 B 45" A=400 lb. B = 600 lb. 26 eseThe ring shown in the figure is subjected to forces F1 and F2. If it is required that the resultant force has a magnitude of 1KN and be directed vertically downward, with θ = 30°. Determine: a. The magnitude of F1.b. The magnitude of f2.18. Replace the two forces shown by a force-couple system with the force acting at O. B 360 mm 50 N 270 mm 30° A 90 N Ý Ans. R = 135.62N, C = 6.3N-m, CCW
- A. Express the force F in Cartesian vector notations; if the force F =400 N B. Express the position vector RON in Cartesian vector notation if point N has a coordinates (1,2,0) C. Determine the magnitude of the projection of force along the u axis. F = 600 N A 4 m 4m- y N (1,2,0) Acti Go to7. Which of the following is the condition for the three-force theorem in mechanics? a. The force system should be in equilibrium only b. The force systems should be non-coplanar c. The system should be co-planar, parallel d. The force system should be in equilibrium, co-planar, concurrent, or parallel 8. Which of the following is the SI unit of force? a. Kg m b. Kg m2 c. Kg m2 /s d. Kg m/s2answer the questions provided. A Block that weighs 50 kg is acted upon by P = 100 N. 1. What is the P in component form? 2. What is the frictional force between the block and surface? 3. What is the magnitude of the angle of the friction? 4. What is the resultant force of the frictional force and normal force?