1
GATE ME 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
An analytic function of a complex variable $$z=x+iy,$$ where $$i = \sqrt { - 1} $$ is expressed as
$$f\left( z \right) = u\left( {x,y} \right) + i\,v\left( {x,y} \right).\,$$ If $$u(x,y)=2xy,$$
then $$v(x,y)$$ must be
A
$${x^2} + {y^2} + $$ constant
B
$${x^2} - {y^2} + $$ constant
C
$$-{x^2} + {y^2} + $$ constant
D
$$-{x^2} - {y^2} + $$ constant
2
GATE ME 2014 Set 2
Numerical
+2
-0
A truck accelerates up a 10° incline with a crate of 100 kg. Value of static coefficient of friction between the crate and the truck surface is 0.3. The maximum value of acceleration (in m/s2 ) of the truck such that the crate does not slide down is _______
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3
GATE ME 2014 Set 2
Numerical
+1
-0
A two member truss ABC is shown in the figure. The force (in kN) transmitted in member AB is ________ GATE ME 2014 Set 2 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 80 English
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4
GATE ME 2014 Set 2
Numerical
+2
-0
Consider laminar flow of water over a flat plate of length $$1$$ $$m.$$ If the boundary layer thickness at a distance of $$0.25$$ $$m$$ from the leading edge of the plate is $$8$$ $$mm,$$ the boundary layer thickness (in $$mm$$), at a distance of $$0.75$$ $$m,$$ is __________________
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