(Compute) What is line OA's direction cosine angle, in degrees, from the x-axis (θx)? Note that direction cosine angles are also known as coordinate direction angles.

Q: Given the following data, draw in a cartesian plane, the resulting vector,and it's three director…

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Q: (Compute) What is line OA's direction cosine angle, in degrees, from the y-axis (θy)? Note that…

A: The cosine angle between two vectors  is as followes,

Q: flight information is as follows: Tower 1 - 300 km 15° EastofNorth @ 2:50 AM; Tower 2 - 250 km North…

A: taking scale,1cm=100kmso that,  1 to 2, 2.6cm=260km          2 to 3,  4.4cm=440km…

Q: zes/147167/take stion 1 O pts • What are the r and y components of a vector of length A that makes…

A: givenvector length =A

Q: What is the Cartesian vector representation of the unit vector pointing to point B from point A?

A: The position vector of point A  rA→=(-150×cos30o)i+(-150×sin30o)j mmrA→=(-129.904)i+(-75)j mm The…

Q: The arbitrary point can be represented using a standard cartesian system. true O false

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Q: If a vector force F = -7 i +10 j +4 k [kN], what will be the coordinate direction angle with the…

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Q: Q1. Force F = {270i + 450j –140k} N and it passes point B. The coordinates of the points are: A (21,…

A: GivenF→=270i+450j-140kNow AB→=OB→-OA→AB→=0,0,21-21,0,0AB→=-21i+0j+21kNow the moment at A is given…

Q: Assume that the robot is at the position (1, -2, 4), and her right, up, and forward vectors…

A: The position of the robot, The point in the world space,

Q: (Compute) What is line OA's direction cosine angle, in degrees, from the z-axis (θz)? Note that…

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Q: The given sketch is a cross section view of bracket. Sketch the 2D sketch of the below figure using…

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Q: 5-74. The bent rod is supported at A, B, and C by smooth journal bearings. Determine the components…

A: The free-body diagram of the given system of forces acting on the rod is shown below.The force F is…

Q: For the coordinate system shown, determine the DIAGONAL of the transformation matrix [Q] for the new…

A: Vector is a physical quantity that has magnitude and direction both. Scalar is a physical quantity…

Q: Problem 1 For the 3d object shown to the right, complete the following: a) Determine the position…

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Q: Question 1 A point P(6,1,2) that is attached to a frame is subjected to the followings sequence of…

A: We have point P= [6 1 2] In 3D, we take it as P= [6 1  2 1] Then we apply given transformations…

Q: Q1. Force F = {270i + 450j –140k} N and it passes point B. The coordinates of the points are: A (21,…

A: Given: The force acting, F = (270i+450j-140k) N The distance between O and B, OB = 21 cm The…

Q: Calculate the size of projection of vector 1 onto vec Calculate the size of projection of vector 2…

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Q: n the cartesian plane , we have 40 units for vertical forces and 50 units for horizontal forces.what…

A: Given Data : 40 units for vertical forces 50 units for horizontal forces

Q: AutoCAD Sketching The given sketch is a cross section view of housing. Sketch the 2D sketch of the…

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Q: The relative coordinates system of point representation depends on O x and y values O origin point O…

A: Absolute positioning system: In this positioning system, the location of the object indicates with…

Q: N value (x,y,z): 10,14,17 In case you can't read the given values on the picture: B: (6,7,8) C:…

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Q: Two lines in the x-y plane are described by the expressions: Line 1: X + 2y = -6 Line 2: 3x + 4y = 8…

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Q: Find the absolute coordinates, relative coordinates, and polar coordinates. (AutoCAD) GIVEN:…

A: It is asked to find the absolute, relative and polar coordinates of the corners shown below

Q: Eliminate the Arbitrary Constant: y = ce* + c2xe* a. y' – 2y" + 2y = 0 b. y" – 2y' + y = 0 c. y' –…

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Q: Question 2 A point P in space is defined as P= [3, 5, 4] attached to a frame (,,a) Compute the end…

A: Let's start with the first transformation: rotation of 45∘ about the n-axis.###(i)  Given a point P…

Q: The given sketch is a cross section view of "Housing". Sketch the 2D sketch of the below figure…

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Q: DA AB BC o [s E (s a cm] [em] [cm] 15 30 10 2 30° 90 Wk

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Q: The position vector rAB = 150i – 85j + TAB2 k has magnitude equal to 188 m. a) Determine the…

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Q: Sketch the 2D figure using AutoCAD and mention all the dimensions, colour the hatched lines if there…

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.