4. Determine the components of forces F and P along the X- Y axes which are parallel and perpendicular to the incline X F = 260 lb 5 7777 Y 12 3 P = 361 lb 3 4 2
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- SAQ 1 1.2 m D 80 kN m An 80-kn. m couple shown in the plate is caused by a pair of parallel forces of magnitude F (not shown). 1.6 m Determine: a) the smallest possible value of F, and b) the value of F if the forces act at points A and C and are parallel to the dashed line shown at A. А В 60°1. Determine the resultant (R) of the following forces using the component methoc Force Magnitude Angle a = 330° b = 130° 20 N 35 N C 15 N C= 215°SAQ 1 1.2 m D C 80 kN m An 80-kn.m couple shown in the plate is caused by a pair of parallel forces of magnitude F (not shown). 1.6 m Determine: a) the smallest possible value of F, and b) the value of F if the forces act at points A and C and are parallel to the dashed line shown at A. A В 60°
- 2. Bones and Muscles. A patient in therapy has a forearm that weighs -20.5Nj and that lifts a -112.0Nj weight. These two forces have direction vertically downward. the only other significant forces on his forearm come from the biceps muscle (which acts perpendicularly to the forearm) and the force at the elbow. If the biceps produces a pull of 232 N when the forearm is raised above 43° the horizontal, find the magnitude and direction of the force that the elbow exerts on the forearm. (The sum of the elbow force and the biceps force must balance the weight of the arm and the weight it is carrying, so their vector sum must be 132.5 N, upward.) Vector addition Given the following vectors: A = 10mi + 20m 2 4. P=Z+L 5. F=A+L+G+L 6. S=P-F G=55.2m, 45° South of West L = 10m, 85° East of South Draw the graphical representation and compute for the x- and y- components and the angle of the following resultant vectors: 3. R=A+G16 9. Three horizontal plastic ropes pull on a box which is stuck on the ground producing vector forces: A. B and C as shown. Find the magnitude and direction of the fourth force that will make the vector sum of the forces zero B = 40 N A 50 N 30° 60° = 20 N Figure 20 Ans. 57.2N, 56.3° below -x-axis2. A ball is hanging as shown below. The ball weighs 0.25 kg and the rod weighs 0.5 kg. 0 = 37°, x=0.25 m, and the rod is 1 m long. a) Find the tension in each of the two wires. b) Find the force that the wall exerts on the rod. (Give x and y components)
- 9. The body on the 30° incline is acted upon by a force P inclined at 20° with the horizontal. If P is resolved into components parallel and perpendicular to the incline and the value of the parallel component is 400lb, compute the value of the perpendicular component and that of P. P. 1800 N1. In each case, show how to resolve the force F into components acting along the u and v axes using the parallelogram law. Then establish the triangle rule to show FR = Fu + Fy. Label all known and unknown sides and interior angles. F = 400 N F = 200 N 70° 30 40° 30 70° 120 45° F = 600 N (a) (c) (ь) 'G 2. Determine the magnitude of the resultant force acting on the screw eye and its direction measured clockwise from the x axis. 45° 60° 2 kN 6 kN 3. If the resultant force acting on the support is to be 1200 lb, directed horizontally to the right, determine the force F in rope A and the corresponding angle . F 60° 900 lb( 45 a M > 1:0Y HW1.pdf > Chapter 1 HW1 Exercises 1. A force P = 800 N is shown in Fig. a. Find the y-component of P with respect to x and y axis. b. Find the y'-component of P with respect to x' and y' axis. c. Find the y-component of P with respect to x' and y axis. d. Find the y'-component of P with respect to x and y' axis. P = 800 N X' 2. A block is resting on an incline of slope 5:12 as shown in Fig. It is subjected to a force F = 500 N on a slope of 3:4. Determine the components of F parallel and perpendicular to the incline. F = 500 N
- At what angle must the 530-lb force be applied in order that the resultant R of the two forces have a magnitude of 1060 lb? For this condition what will be the angle 3 between R and the horizontal? 530 lb 790 lb Answers: 0 = i B = i O6. Robots are pulling on a toy at the same time and the toy is not moving. Robot A is applying 10.235 N to the toy at an angle of 155°. Robot B is applying 24.762N to the toy at an angle of 68°. What is the magnitude and direction Robot C must exert in order for the toy to exist in a state of equilibrium?The 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.