GATE ME 2020 Set 1 | GATE ME Year Wise Previous Years Questions

GATE ME 2020 Set 1

MCQ (Single Correct Answer)

-0.33

Multiplication of real valued square matrices of same dimension is

Associative

Commutative

Always positive definite

not always possible to commute

GATE ME 2020 Set 1

MCQ (Single Correct Answer)

-0.33

The Laplace transform of function f(t) is L(t) $$ = \frac{1}{{\left( {{s^2} + {\omega ^2}} \right)}}$$. Then, f(t) is

$$f\left( t \right) = \frac{1}{{{\omega ^2}}}\left( {1 - \cos \omega t} \right)$$

$$f\left( t \right) = \frac{1}{\omega }\cos \omega t$$

$$f\left( t \right) = \frac{1}{\omega }\sin \omega t\;$$

$$\;f\left( t \right) = \frac{1}{{{\omega ^2}}}\left( {1 - \sin \omega t} \right)$$

GATE ME 2020 Set 1

MCQ (Single Correct Answer)

-0.33

The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of 10 MPa. If one unit on the σ - τ plane is 1 MPa, the Mohr’s circle representation of the state-of-stress is given by

a circle with a radius equal to principal stress and its center at the origin of the σ - τ plane

a point on the σ axis at a distance of 10 units from origin

a circle with a radius of 10 units on the σ - τ plane

a point on the τ axis at a distance of 10 units from the origin

GATE ME 2020 Set 1

MCQ (Single Correct Answer)

-0.33

A helical gear with 20° pressure angle and 30° helix angle mounted at the midspan of a shaft that is supported between two bearings at the ends. The nature of the stresses induced in the shaft is

normal stresses due to bending only

normal stress due to bending in one plane and axial loading; shear stress due to torsion

Normal stress due to bending in two planes and axial loading; shear stress due to torsion

normal stress due to bending in two planes; shear stress due to torsion

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2020