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please ensure this question is 100% correct, thanks. Forces of 10 N and 27 N act on an object. The angle between the two forces is 56 degrees. Find the resultant force on the object and the equilibrant of the two forces. Give direction relative to the 10 N force. Include a vector diagram with your solution.
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- Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r, u, and t, respectively. Consider the quantity (3u2t). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?The following figure shows a triangle formed by the three vectors A , B , and C . If vector C is drawn between the midpoints of vectors A and B , show that C=C/2Two force vectors are added together. The vectors are as follows. Vector A is a force of 52 Newton’s at an angle of 62 degrees. This angle is measured up from the horizontal toward the right Vector B is a force of 120 Newton’s at an angle of 58 degrees. This angle is measured up from the horizontal toward the left. A. What is the magnitude of the net force? (In Newton’s)? B.Find the direction (angle) of the net force as measured up from the horizontal?
- Assume the following forces are acting on an object: F₁ = 40N at 165 degrees F2 45N at 240 degrees F360N at 45 degrees F470N at 295 degrees All angles are angles in standard position. 1) What are the components of the resultant force vector? 2) What is the resultant force and direction angle? (Round the components of your resultant vector, the resultant force, and the direction angle to the nearest tenth. Make sure your final direction angle is between o degrees and 360 degrees.) Answer Attempt 1 out of 100 1) The resultant force vector is F = < 2) The resultant force is N and the direction angle is degrees.Using the method of components, find the resultant of the following concurrent forces. Note: After solving for the Angle of the Resultant, you must then determine the Direction of the Resultant relative to Horizontal (positive x-axis) in a CCW (counter-clockwise direction). Sometimes the Direction of the Resultant may be the same as the Angle of the Resultant. However, you must always calculate both: the Angle of the Resultant (based on the Resultant triangle sketch) and then the Direction of the Resultant based on Horizontal (positive x-axis) in a CCW direction from horizontal.Below are 2 force vectors: the 2.0 Newton force is pointing 60° above the negative x-axis, and the 1.0 Newton force is pointing 45° above the positive x-axis as shown. (a) Draw the vector sum (the resultant) of the two forces on the diagram. (b) Use component method to find the magnitude and direction (measured from positive x direction) of the resultant force.
- Two forces are applied to a car in an effort to move it, as shown in the figure below. (Let F, = 410 N and F, = 375 N. Assume up and to the right are in the positive directions.) 10° 30° F, F, (a) What is the resultant vector of these two forces? 1270 magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. N 2 direction ° to the right of the forward direction (b) If the car has a mass of 3,000 kg, what acceleration does it have? Ignore friction. m/s2What force would balance (equilibrant) the resultant of the following vectors: 100 N, 45° north of east, 50 N east, and 80 N south. Use the component method in solving for the resultant of the given vectors. Check your work using the graphical method. Using the component method of adding vectors, find the resultant of the following vectors: 50 N to the right, 40 N downward, and 30 N, 30° North of East. What is the equilibrant (the one which balances the resultant vector) of the given vectors? Find the resultant of the following vectors: 30 m east, 40 m south, and 50 m west.Three tension rods are bolted to a gusset plate. Determine the magnitude and direction of their resultant. Use the vector algebra and vector polygon methods. Compare the answers from the two methods to verify the accuracy of your work. Assume F = 520 lb, F = 220 lb, and F, = 340 lb. L. 20° 450 (Express your answers using three and four significant figures, respectively. Report the direction as an angle between 0 and 180°, clockwise or counterclockwise.) R = lb Select v from i
- A forklift is used to offload freight from a delivery truck. Together the forklift and its contents weigh 800 lb, and the weight is evenly distributed among four wheels. The ramp is inclined 14° from the horizontal. a. Write the force vector F in terms of i and j representing the weight against a single tire. b. Find the component vector of F parallel to the ramp. c. Find the magnitude of the force needed to keep the forklift from rolling down the ramp.Problem 4. Determine the resultant of the two forces shown below using components. Express your answer as a Cartesian vector. 60 k = 400 N F,= 250 N Problem 5. Determine the angle a needed to make the resultant of the two forces directed horizontal and find the magnitude of the resultant. Solve two ways: a) Using the Parallelogram Law (Hint: Draw your parallelogram so that R is perfectly horizontal) b) Using rectangular components (Hint: If R is horizontal, then it has zero y component) 50 N 25° PA gardener pushes a lawnmower with a force of 20 N downward and to the right, as shown in the figure below. The angle the handle makes with the horizontal is 76°. Note that the figure is not drawn to scale. Write the force vector F in the form F = ai+bj. Do not round any intermediate computations, and round the values in your answer to the nearest hundredth. 76°
