Which option is not correct about free vibration analysis problem KX= λMX, where X represents the amplitude of displacement x?

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The free vibrations equation after Finite Element discretization of a structure is expressed as Mẍ+Kx=0. Which option is not correct about the free vibration case?

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In matrix algebra, which option is not correct about an eigenvalue problem of the type Ax = Lx?

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The unsteady natural axial oscillations of a bar are periodic, and they are determined by assuming a solution u(x, t) = U(x) e^-iwt. Which option is not correct about the solution equation?

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Which option is not correct about direct methods for solving system of linear equations?

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Which option is not correct about iterative methods for solving system of linear equations?

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The dynamic equation of motion of a structure contains M, C and K as mass, damping and stiffness matrices of the structure, respectively. If F is an external load vector, then which option is correct about the equation?

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After Finite Element discretization of a structure, which option expresses the free vibrations equation?

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Suppose the following eigenvalue equation represents a bar problem, then the value of the parameters a and c0 should be EA and ρA, respectively.

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The generalized Eigen value problem [K- λM]X=0 has a non-zero solution for X. What is the value of λ if K=\(\begin{pmatrix}1&1&1\\1&1&1\\1&1&1\end{pmatrix}\), M=\(\begin{pmatrix}4&4&4\\4&4&4\\4&4&4\end{pmatrix}\)?

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A generalized Eigen value problem [K- ω^2M]X=0 has a non-zero solution for X. What can be the value of determinant of the matrix [K- ω^2M]?

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The simultaneous linear equations used in FEM for solution of static problems are KX=F, the methods available for solving these equations are divided into two types: direct and iterative.

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In FEM, the forced vibrations equation after Finite Element discretization of a structure can be expressed as which option?

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For the following eigenvalue equation to represent a heat transfer problem, a=kA and C=ρcA.

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A plane wall was maintained initially at a temperature of 35°C. It is subjected to an ambient temperature of 45°C at one surface. If the heat transfer coefficient at the surfaces of the wall is assumed to be infinite, then what is the new temperature at the wall surface?

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A plane wall was maintained initially at a temperature of T units. It is subjected to an ambient temperature of T∞ units at one surface. If the heat transfer coefficient at the surfaces of the wall is assumed to be infinite, then what is the new temperature at the wall?

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In matrix algebra, a matrix K equals \(\begin{pmatrix} 1&0&0 \\ 0&1&0 \\ 0&0&3 \end{pmatrix}\). What is the value of a, if K^7 = \(\begin{pmatrix} c&0&0\\ 0&b&0 \\ 0&0&a \end{pmatrix}\)?

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In matrix algebra, what is the eigenvalue of the matrix \(\begin{pmatrix} 1&1&1 \\ 1&1&1 \\ 1&1&1 \end{pmatrix}\)?

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A plane wall of thermal conductivity of 45\(\frac{W}{mK}\) was initially maintained at a temperature of 35°C. It is subjected to an ambient temperature of 45°C at one surface. If the heat transfer coefficient at the surface of the wall is 9\(\frac{W}{m^2K}\), then what is the temperature gradient developed at the surface?

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From the Timoshenko beam theory of natural vibrations, using cubic Hermite polynomials approximation, what is the 1^st element of the mass matrix?

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A plane wall of length L units and Cross-section area A units was initially maintained at a temperature of T units. It is subjected to an ambient temperature of T∞ units at one surface. If the heat transfer coefficient at the surface of the wall is assumed to be h units, then what is the temperature gradient developed at the surface?

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In matrix algebra, what is the value of a-b if the eigenvector of \(\begin{pmatrix}1&1&1 \\ 1&1&1 \\ 1&1&1 \end{pmatrix}\) corresponding to eigenvalue three is \(\begin{pmatrix}a \\ b \\ a \end{pmatrix}\)?

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From the Euler-Bernoulli beam theory of natural vibrations, using cubic Hermite polynomials approximation, what is the 1^st element of the stiffness matrix?

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In Finite Element Method (FEM), which option is not correct with respect to discretization or mesh generation?

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In a Heat Transfer problem, which option is used for interpolation of temperature inside a finite element?

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