As you will see in a later chapter, forces are vector quantities, and the total force on an object is the vector sum of all forces acting on it. In the figure below, a force F₁ of magnitude 6.80 units acts on a box at the origin in a direction = 29.0° above the positive x-axis. A second force F2 of magnitude 5.00 units acts on the box in the direction of the positive y-axis. Find graphically the magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force F₁ + F₂. magnitude direction units. counterclockwise from the +x-axis

Two workers are trying to move a heavy crate. One pushes on the crate with a force A, which has a magnitude of 480 newtons and is directed due west. The other pushes with a force B, which has a magnitude of 325 newtons and is directed due north. What is the magnitude of the resultant force A + B applied to the crate? Specify your answer up to one decimal place. Do not include units.

Question 2: You are a structural engineer working for a bridge design company. design a gusset plate connection for a bridge truss support. You need to find the resultant force and its direction. Solve all parts step-by step, show your calculations and answers in the box. For vector components, include the sign to indicate direction, +ve if the component points in the +ve direction of the axis. Express final answers using vector component notation x = and y are the scalar component values and i and j are the unit vectors pointing along the +ve x and y axes, respectively. Your manager asked you to xi + vj where x y F2 = 50 kN F1 = 25 kN F3 = 30 kN X 0.8 m a) (LO2) Find the components of force F1. y F1 = 25 kN F1y Fıx Answer: tu po

Bob is pulling a box of his toys of mass 15.0 kg along a rough horizontal surface for a distance of 6.00 m. The tension force in the rope is 58.0 N and the angle is 30° with respect to the horizontal. The frictional force on the box is 18.0 N. Match the answers with questions. (Hint: Clearly draw the force vector and displacement vector for all cases.) What is the angle between the tension force vector and the displacement vector? A. 90° v What is the angle between the friction force vector and the displacement vector? B. none of the given v What is the angle between the normal force vector and the displacement vector? C. 60° D. 150° Е. 0° F. 210° G. 180° Н. 30°

A force F1 of magnitude 6.30 units acts on an object at the origin in a direction θ = 47.0° above the positive x-axis. (See the figure below.) A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force F1 + F2.

Two forces are shown in the figure. Force A has magnitude 8 units and angle α is 40 degrees. Force B has magnitude 19 units and angle β is 40 degrees. Calculate the direction of the sum of the two forces. Write your answer in degrees from the positive X-axis.  (note: the lengths and angles of forces in the figure are not to proper scale).

A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 55 N and is directed to the left and up making an angle of 45 degrees with the vertical The force G is directed vertically down and H is directed to the right and up making an angle of 60 degrees with the vertical. Find the magnitude of the vectors G and H, giving your answers to one decimal place. The magnitude of G is N (to 1 d.p.) The magnitude of H is N (to 1 d.p.)

A force  F1  of magnitude 4.80 units acts at the origin in a direction 37.0° above the positive x axis. A second force  F2  of magnitude 5.00 units acts at the origin in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force  F1 + F2. magnitude      units direction      ° counterclockwise from the +x axis

A 781 N sprinter can push his feet back against the starting blocks with a force of 1852 N in the horizontal direction.  If the force is generated for 0.28 s, determine the horizontal velocity of the runner out of the blocks. Include magnitude and direction when reporting vectors.

A set of concurrent forces is shown in the image below. Which one or more options correctly describes the resultant vector R of these forces. (A) R =P+Q+S (B) R = (P₂+Q+S₂)i + (P+Q₂ + S₂) j (C)R-EF,+EF, j. here the Fx and Fy indicate the x and y components of each force involved OA, B and C O A and B only O Only A O Only B O Only C OA and Canly OB and Conly