s-Calculate the magnitude of the resultant R F1+F2: N. -Calculate the angle between the vector Rand the positive x-axis deg Calculate the magnitude of the difference D FI F2: N.
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- Find the angles between the force F = 1200i + 800j − 1500k N and the x-, y-, and z-axes. Show your results on a sketch of the coordinate system.Draw on an xx, yy coordinate system the force vector F⃗ 1F→1 (+100 NN, -100 NN) and its components.Describe how you would solve this problem using: a) the x/y coord. system and vectors, and b) a polar coordinate system using components.
- Show the non-zero components on the A, B, and C faces of the cube. Use the coordinate system that is given only. σxx = 100 MPa (C) Txy = -60 MPa Txz = 40 MPa Tyx = -60 MPa σyy = 0 Tyz = 0 Tzx = 40 MPa Tzy = 0 σzz = 50 MPa (T)1. Please refer to the following vectors:A = 6i + 2j - 3kB = 3i - j - 2kC = -i + j - 4kD = j - 3kE = -i + 2kF = -5kG = 2iH = -3jI = -4i +4j Two airplanes started drifting away from the origin along the directions of displacement vectors {B} km and {E} km respectively. If vectors B and E are their position vectors in rectangular coordinate system after some time t, what will be their separation distance in kilometers? 2. A ball is speeding up along a circular track. What can be said about the velocity and acceleration vectors on the body? 3. In an intersection, a bus moving at (100i) m/s and a truck moving at (200j) m/s collided with each other. Assuming that the two objects have the same mass, what would be their final speed together?Answer using GRAPHICAL METHOD. Make a representation of the following vector quantities a. A velocity of 20m/s north b. A force of 2000 dynes 45° east of south c. An acceleration of 5m/s2 at 200° d. A displacement of 14m 100° from +x-axis e. A force of 250N at 60° clockwise +x-axis
- Please answer this question correctly used the parametric equation thx(vector integral) 1 a.) Find the curve of the vector : XZ⁴i-ZX⁴K b.) Find the derivative directed f at point P in the direction of a F= XY+YZ+25 P= (-2,4,7) a= -i+j+5Ka. What is the position vector that starts at -50j and ends at 50 j? b. What is the position vector that starts at (-50 i - 20 j +10 k) lb and ends at (50 i + 20 j -10 k) lb c. What is the resultant sum of the moments in Cartesian vector form? Round your entries to the nearest whole number.Q1. A line RS of 55 mm in length is inclined to HP by 30o and parallel to VP. One of its end points is above HP by 20 mm and in front of VP by 30 mm. The line is in single quadrant. Find the projections of the line RS and find out its horizontal trace.
- 16 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the homogeneous wire in the x, y and z axes given correctly?A) (23.57 ; 11.43 ; 17.14)B) (23.57 ; 17.14 ; 11.43)C) (28.29 ; 13.71 ; 20.57)D) (20.61 ; 13.03 ; 9.08)E) (28.29 ; 20.57 ; 13.71)The magnitude of a vector is 6 and the y-coordinate is triple the x-coordinate. Determine the coordinates of the vector.Please solve in polar coordinates without converting from cartesian coordinates to polar using rsinθ and rcosθ