Mirror the triangle shown below along a 45° - axis. ) (1,3) P₂ P₁ (1, 1) 45⁰ (3, 3)

Q: Two vectors of magnitude 8 units and 10 units respectively make 60° with each other as shown in…

A:

Q: If A = 3i + 4j and B=7i + 24 j, the vector having the same magnitude as B and parallel to A is (b)…

A: Given, Vector A = A → = 3 i^ + 4 j^ Vector B = B → = 7 i^ + 24 j^   We are supposed to find the…

Q: Find the magnitudes of F2 component along the u axes

A: Given: The force, F1 = 500 N The force, F2 = 300 N

Q: E=501-200j+150k}N| Fi={70j+100k}N

A: When multiple forces are acting on a body, then to analyze the body, we need to calculate the…

Q: If r = (4, -2, 2) and F = (4, 8, 4), what is r x F?

A:

Q: find the angle between the vectors u = 2i – 2 j+k, v= 3i + 4k

A: Given two vectors, Find, Angle between them ,

Q: - Find the area enclosed by the curve a'x = y'(2a-y)

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A B Consider the two vectors given in the figure, what is their CROSS (VECTOR) product?

A: Given: The vector A and B is shown below:

Q: Find the moment of the force, F = 23lb shown above Figure with respect to the origin and with…

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Q: Find the angle between the vectors u (2,2,-1) and v (5,-3,2).

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Q: 1. Show that the following vector field is conservative: F (4 xy - 2z)î +(2 x² - 6 yz ) ĵ +(-3 y² -…

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Q: b 120° a a 120° 120°

A: the unit extensions in three directions with 120◦ between them are Ꜫa = 430.10-6   Ꜫb= 260.10-6 Ꜫc=…

Q: For the triangular element shown below, determine the shape functions at the point P. (56) (4.5,6)…

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Q: For the planar area symmetrical with respect to the x-axis in the figure, the cross-section…

A: Consider the section as shown below, Area ABCD, A1=24a+ca+2aA1=24×1+31+2×1A1=42 cm2Centroid of…

Q: If |A +B| = |A – B| then, the angle between A and B is: (a) 0° (c) 60° (b) 90° (d) 180°

A: Let us consider, A = Magnitude of A → B = Magnitude of B → θ = Angle between two vectors   It is…

Q: You are required to calculate the second moment of area about the x-axis for the figure below. a mm…

A: Answer: (a) The second moment of area of segment 2 about x-axis is 143676.944 mm4. (b) The second…

Q: fA = 2i + 4 j - 5 k, the the direction of cosines of the vector A are *

A: Given data; A⇀=2i^+4j^+5k^therefore direction ratios of A are (2,4,-5)Direction cosines are given by…

Q: i) The position of a point P of a rigid body B is located at B₁ = [1, 2, 3]¹. Determine the global…

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Q: A (-3,7) y, m F=6kN x, m B (10,-8)

A: The data provided in the question is as follows;The magnitude of force F=6 kNThe line diagram of the…

Q: The three forces act on the rod in the figure at points A, B and C, respectively. Determine the…

A: Given system  To determine The resultant moment produced by these forces according to point O.

Q: 1. Find the resultant and its direction from the x-axis (0,) 7 k 15 k 50 ° 10 k

A: Given:

Q: Find 1-UXV (cross product) 2- the area of the parallelogram 3- directions If u = i+j-k v = 2i +j+ k,

A: Given : u = i+j-k v = 2i+j+k

Q: Q3/ For the plate shown in figure below find * (a) ΣΑ YA X 8

A: It is required to determine area of plate

Q: Please calculate the total area and first moment of the following object! (SK 2.1 & 2.2, 30%) 100 mm…

A: Let a×b be the size of each rectangular cut out shown in the figure above and assuming the thickness…

Q: what is the magnitude of the resultant in y- direction?

A: Dear student,                     According to the guidelines I am allowed to answer only one…

Q: The components of A vector are not necessarily equal to the projections of the vector onto the same…

A: Component of a vector is the resolution into two mutually perpendicular direction with respect to…

Crystalline Imperfections

The crystalline imperfections are described as the geometrical defects in the crystal due to incorrect arrangement of atoms, impurity, vacancy, and many more. It is not possible to achieve a perfect or ideal crystal, practically.