The state of stress at a point with respect to a Cartesian coordinates system 0x,x,x, is given by:

Q: If n1 is an eigenvector for a strain tensor, prove it is also a principal direction for the stress…

A: The relative change in the position of points within a body that has experienced deformation is…

Q: [o] = 0 -30 25 -30 25 -40 -15 MPa -15 0 (2) a. Find the traction vector (force per unit area)…

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Q: Find a unit vector in the direction in which f increases most rapidly at P and find the rate of…

A: Given f(x,y) =5y3x2 ;(-2,-1)

Q: subject 2x, + 3x2 > 30 X1 + x2 2 12 2.x1 + x2 2 20 and x¡ 2 0, x2 2 0. (a) Use the graphical method…

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Q: find & By, and B.

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Q: A certain two dimensional shape has the following integrals f dA = 4.5 in² fx dA fyd A S x² dA 13.5…

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Q: Problem 1 Show that if the following problem has a solution it is unique -k = f in (0,L)× (0,T), (1)…

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Q: ind Tension in AB,Tension in AD ,Tension in A

A: Given: TO determine: Tension in AB, AC and AD

Q: y < -1Sx + 3000 y < 5x In the xy-plane, if a point with coordinates ( a, b) lies in the solution…

A: To find :  The maximum possible value of b Given :  The equations are y&lt;-15x+3000 and y&lt;5x. A…

Q: EX (1): Find the two components of the force ( 100 N ) if : 0 = 30° , 120° 270° %3D

A: In a forced system, Force can be distributed in two components such as 1) Horizontal components 2)…

Q: Use Stokes' Theorem to evaluate  F · drwhere C is oriented counterclockwise as viewed from above.…

A: For solution refer below images.

Q: Determine Completely the resultant of .Concurrent forces system shown in Fig Y 300N 200N 45 100N…

A: Concurrent forces are those that are applied to a body in such a way that their lines of action meet…

Q: Problem 3.2 If ni is an eigenvector for the strain tensor, show it is also a principal direction for…

A: The relative change in the position of points within a body that has experienced deformation is…

Q: D 3.4-5. Consider the following problem, where the value of c has not yet been ascertained. Maximize…

A: Givenmaximize Z=c1x1+2x24x1+x2≤12x1-x2≥2andx1≥0  , x2≥0

Q: Find the work done by the vector force field F(x, y) = x°i+x?yj on an object as it moves in %3D

A: When we apply a force over a body and it moves at some distance then we say work is done and is…

Q: Plz answer this engineer math question ASAP,and used parameter equation,thx find the derivative…

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.