3. A particle is acted upon by the following four forces: 21 N pulling east, 32 N pulling west, 52 N pulling north, and 42 N pulling south. a. Draw a diagram showing these four forces. b. Calculate the resultant and equilibrant of these forces.
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- 6. 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?1. Determine the forces the two people must apply in the new a and b directions shown such that a resultant force of 250N in the c direction is produced. Use the parallelogram method only. 250N 45° 30 B. 2. Determine the magnitude and direction of the resultant force, FA F= 400 N F= 200 N 90 150 VF = 300 N2. Twoforces,oneofmagnitude2Nandoneofmagnitude3N,areappliedto the ring of a force table. The directions of both forces are unknown. Which of the following best describes the magnitude of the equilibrium force? Justify your answer.a. FE ≤ 5N b. 2N≤FE≤3N c. FE ≥ 3Nd. 1N≤FE≤5N e. FE ≤ 2N
- 1. Four horses are pulling a wagon down a street in a parade. the front two horses can each pull 1500N (forward) on their reigns, while the back two horses can each pull 1200 N (forward). the force of friction of the wagon wheels on the ground is 550 N (backward). Starting with a free body diagram, calculate the net force on the wagon. 2. What is the displacement and direction of the resultant vector if a soccer player runs 55.0m at an angle of N27 degrees West, and then runs 23.0m at an angle of S5 degrees West from her new location? Draw a diagram, please! 3. A golf ball, which is lying directly on the ground, is hit with a velocity of 22m/s at an angle of 30 degrees above the horizontal. Determine the golf balls: a). time of flight b). range c). maximum heightiv) Three 0.5 N pulling forces are applied from a common point with one on the +x axis. If the angle between each subsequent force vector is 30 degrees, what is the magnitude of the balancing force? a. 1 N b. 1.366 N c. 0.433 N d. 1.5 N5. Determine the force exerted by the cable at B and the reaction at support A for the bar shown. You may assume the bar is massless for the analysis. Write your answers using 3 significant digits. y A 900 N Cable B 22° C 40° 300 mm 250 mm
- What is the answer ?1. There are four forces acting on a pole, one points north, one points south, one points east, and the last one points west. Suppose that the initial magnitudes of these forces are all equal, at which direction you should increase the force magnitude so that the equilibrant force will point at NW? 2. The direction of the body being accelerated by an applied force must the same as the direction of the applied force. This is one of the premises of what law of motion?1. A 20,000 pound truck is parked on a 15° slope. Find the force required to keep the truck from rolling down the hill (that is, find the magnitude of the vector component of the weight of the truck that is parallel to the slope). 2.Determine the vector v with magnitude of 30 that makes an angle of 120° with the positive xaxis. State the vector in either ordered set or unit vector notation with components written as exact values (simplified radical form).
- A mass in translational equilibrium experiences 3 forces. Select the case that most fully and accurately describes the scenario. I. The magnitudes of the 3 forces are equivalent. II. The angles between the 3 vectors are 120 degrees. III. The vector sum of the 3 forces equals 0N. IV. All 3 forces are parallel. A. III only B. I only C. I and III only D. IV only E. II and III only19. A force of 63.5 pounds makes an angle of 47° 10' with a force of 18.7 pounds. Find the angle made by the equilibrant with the 63.5-lb force. а. 118.7° b. 132.4° с. 147.3° d. 169.8°3. Which of the following sets of forces acting on an object could not be in equilibrium? a. 4 N, 4N, 4N b. 5 N, 10 N, 15 N c. 6 N, 7 N, 10 N d. All the above sets of forces can be in equilibrium. B