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- The magnitude of the resultant force FR of the 2 tractors pulling on the lazy cow is 11650 N and is directed along the positive r-axis. y, 02 F2 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 35 degrees 6200 N F Using the law of sines and/or cosines, a. Determine the required magnitude of F2 b. Determine the direction of F2, 01 relative to the positive r-axis in degrees. Answer must be between 0 ° s0 s 90° c. In which quadrant is F2 located? Round your final answers to 3 significant digits/figures. F N degrees In which quadrant is F2 located? O fourth O third O first O secondQ2: Determine the resultant of the force system in next fig. Then locate it with respect to point (A). 1000 N.m K K A 10m 10m 10m 80 N 150 N 100 N (15 degrees)QI) At point A, the four forces Fs, Fc, Fp and Fe act, the lines of action for these forces are given by the straight lines AB, AC, AD and AF, as shown in Figure 1. Coordinate the points are: A 3 B 2. D 4 12 cm Figure 1 The magnitudes of the forces are: F7 KN, F= 3 KN, F=9 KN and F= 13 KN. Represent this force Facting on the point 4 as a Cartesian vector and determine its direction.
- he maghitude and direction of the resultant according to the chosen scale. = 246 N, 255° Test yourself 3: 1. Two forces of 60 N and 8O N respectively act simultaneously at a point. F = 60 N Sketch and determine their resultant by using the following methods: a) tail-to-head 60° b) tail-to-tail (122 N 25 2. Two forces, F, and F, act at a point as indicated. a) Draw a sketch diagram to show the resultant force when angle 6 = 120. The angle is now decreased from 120° to 20°. F = 80 N F (The magnitudes of the forces remain the same.) b) Draw a new sketch diagram to show the new resultant. Compare the sizes of the resultants and write your conclusion. Forces in equilibrium A stationary object might have no forces acting on it. Forces on the object can also be balanced so there is a zero resultant InQ2: Determine the magnitude and coordinate direction angles [a, B. y] of the resultant force acting at A. -1 ㅓ +1; 1 00 A 6 ft 2 ft Z Fc = 490 lb FB = 600 lb 4 ft 2 ft 3 ft B 4 ft 4 ftQ1) The region bounded by the parabola x = y? and y = x? revolved about the y-axis to generate a solid. Find the volume of the solid.
- Consider the figurea = 1.2 m b = 1,8 m c = 4 m Force AB = 500 Newtons FAB Find the y-component of Force AB in N. If the calculated answer is not whole number, express it in 4 significant figures. If the value is negative, include a negative sign. Find the z-component of Force AB in N. Find the Projected Force to direction AC in N. (Hint: Dot Product).Q2: Determine the resultant of the force system in next fig. Then locate it with respect to point (A). 30 N 10 M 150 N 100 N 10m (15 degrees)
- *Q2: Resolve the force (450) to its components along coordinates AC & AB (nun perpendicular coordinate) 45 450 Ib %23 %23Find the angle between the two given vectors. u = (1, -4, 1), v = (0, 2, –2) %3D Write your answer in degree measure (no need to use the degree symbol), e.g. 45Three forces intersect at point (1, 1, 1). Their magnitude and respective second point of incidence are as follows: 450 lbs (4, -3, 7), 600lbs (-1, 5, -4), 300lbs (-3, 6, -2) 1. Compute the direction cosine on the x-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513 2. Compute the direction cosine on the y-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513 3. Compute the direction cosine on the x-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513