For the stress tensor shown in question 3, find the traction vector, normal and shearing stress on a plane whos normal vector has 1 directional cosines / = 0, m = ½, n 9 FS

Q: Compute the work done by the force 7 = (sin(x + y), xy, x²z) in moving an object along the…

A: Given force The object is moving along the straight line and from

Q: Qe A) Find the vector 5 unit length in the direction of vector perpendicular to the iHane which…

A: We have to find the perpendicular vector first.

Q: define: unit vector

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Q: Find a vector G with curlG = sin xk.

A: Let F → = d1i+d2j+d3kThen curve F → =∇xF → =ijkddxddyddzf1f2f3Let us consider G→ = g1i+g2j+g3kThen…

Q: 3. (Sinx, Sinzx, 4. for the given vectors find the value of normalize W+V π = (1, 1, 3) V = (3, 1,…

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Q: Explain why the family of vector-valued functions that are the antiderivatives of a vector-valued…

A: The family of vector-valued functions that are antiderivatives of a vector-valued function will…

Q: Calculate the velocity and acceleration vectors, and speed for r(t) = (cos(t) , sin(3t) , sin( when…

A: Given r(t)=cos(t) , sin(3t) , sin(t) Compare it with r(t)=x(t) , y(t) , z(t) to obtain…

Q: Find the positive t when the vector r(t) = (4t, 4t, 5t2 – 6) is perpendicular to r' (t). t =

A: We use the definition of the perpendicular of two vectors to find the positive value of t.

Q: Compare between zero vector and unit vectors with drawing the suitable curves.

A: Solution : Here we have show the difference between the Zero vector and Unit vector.   Concept : A…

Q: A velocity vector of variable magnitude of an object can have a constant direction. O True False

A:

Q: A river is flowing downstream at a constant rate of 5 ft/s. We take a rectangular net that is 6 ft…

A: Given river velocity ( v ) = 5 ftsrectangular net whose area is A A = length × breadth

Q: On a metal plate in the shape of a rectangle, the temperature at a point (x,y) is given by; 100 3x²…

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Q: Part B please g(x,y,z)=x^2+y^2+(z-3)^2

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Q: If a particle travels with constant speed, must its acceleration vector be zero? Explain

A: Given- If a particle travels with constant speed, must its acceleration vector be zero? To Explain-…

Q: What is the magnitude of the vector v with initial point P = (-4, 3) and terminat piont Q = (2, -5)…

A: A detailed solution is given below

Q: Find the magnitude of the vector and the angls 0, 0 degrees less than or equal to 0 < 360 that the…

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Q: Which of the following is the work done by a constant force F moving an object along a straight line…

A: The work done is defined as the integral of the force F with respect to the distance.   The work…