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A force
Figure P3.7
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- Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.arrow_forwardIn an assembly operation illustrated in Figure P3.30. a robot moves an object first straight upward and then also to the east, around an arc forming one-quarter of a circle of radius 4.80 cm that lies in an eastwest vertical plane. The robot then moves the object upward and to the north, through one-quarter of a circle of radius 3.70 cm that lies in a northsouth vertical plane. Find (a) the magnitude of the total displacement of the object and (b) the angle the total displacement makes with the vertical. Figure P3.30arrow_forwardA force F1 of magnitude 5.20 units acts on an object at the origin in a direction theta = 48.0 above the positive x-axis. A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find the graphically the magnitude and direction of the resultant force F1+ F2.arrow_forward
- Problem 5. A force F of magnitude 6.00 units acts on an object at the origin in a direction u 30.0 degrees above the positive x axis. A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y axis. Find the magnitude and direction of the resultant F + F2.arrow_forwardA force F1 of magnitude 5.00 units acts at the origin in a direction 34.0° 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 + F2arrow_forward最 属国国 庫 庫 ! 国 庫 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 F, of magnitude 6.80 units acts on a box at the origin in a direction 6 = 29.0° above the positive x-axis. A second force F, 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 F, +F 2" 1 magnitude units direction counterclockwise from the +x-axisarrow_forward
- F1, F2 and F3 forces act on a connection point. These forces and the resultant Define the force in Cartesian vector form. The strength of the resultant force and Find the directions it makes with the axes. X F₂=5 kN ye 30° сл 5 3 t UNTES F3 = 2 kN F₁=1.25 KN Zarrow_forwardOften a vector is specified by a magnitude and a direction; for example, a rope with tension T exerts a force of magnitude T = 20 N in a direction 35° north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coordinate system. Figure Ĉ length = b B length = c B length = a a A = < 1 of 1 ▼ Part A Find the components of the vector A with length a = 1.00 and angle a=10.0° with respect to the x axis as shown in (Figure 1). Enter numerically, separated by a comma, the x component followed by the y component. ► View Available Hint(s) Ax, Ay = Submit Part B Bx, By = —| ΑΣΦ Find the components of the vector B with length b = 1.00 and angle =10.0° with respect to the x axis as shown in (Figure 1). Enter numerically, separated by a comma, the x component followed by the y component. ►View Available Hint(s) Submit ? [5] ΑΣΦ ?arrow_forwardWhat is the direction of the resultant force?arrow_forward
- The town of Calculusville is 95 m above sea level and the town of Vectorville is 178 m above sea level. The two towns are 4.8 km apart along a straight, smooth road. A family decides to move from Calculusville to Vectorville. They pack all their belongings in a trailer hitched to their SUV. The SUV pulls the trailer up the road using a force, in newtons, defined by the vector F = [25 000, 14 000]. a) Find the force drawing the trailer up the hill and the force, perpendicular to the hill, tending to lift it. b) What is the work done by the SUV in pulling the trailer up the hill? What is the work done in raising the altitude of the trailer? d) Explain why your answers to parts b) and c) are different.arrow_forwardC, D, and Earrow_forwardThe soccer ball shown weighs I lb and has a velocity of 20 fps at 40° to the horizontal prior to striking the soccer player's head. After the soccer player heads the ball, it has a velocity of 30 fps at 20° to the horizontal. If the duration of the impact is 0.15 sec, determine a. Express the initial and final velocities of the ball in Cartesian vector form b. Magnitude and direction of the average force exerted on the soccer ball by the player's head in Cartesian vector form.arrow_forward
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