1
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
$$f\left( z \right) = u\left( {x,y} \right) + i\,\,\,\,v\left( {x,y} \right)$$ is an analytic function of complex variable $$z=x+iy$$ , where $$i = \sqrt { - 1} $$ If $$u(x,y)=2xy,$$ then $$v(x,y)$$ may be expressed as
A
$$ - {x^2} + {y^2} + $$ constant
B
$$ {x^2} - {y^2} + $$ constant
C
$$ {x^2} + {y^2} + $$ constant
D
$$ - \left( {{x^2} + {y^2}} \right) + $$ constant
2
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A point mass $$M$$ is released from rest and slides down a spherical bowl (of radius $$R$$) from a height $$H$$ as shown in the figure below. The surface of the bowl is smooth (no friction). The velocity of the mass at the bottom of the bowl is GATE ME 2016 Set 1 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 73 English
A
$$\sqrt {gH} $$
B
$$\sqrt {2gR} $$
C
$$\sqrt {2gH} $$
D
$$0$$
3
GATE ME 2016 Set 1
Numerical
+2
-0
A block of mass m rests on an inclined plane and is attached by a string to the wall as shown in the figure. The coefficient of static friction between the plane and the block is $$0.25.$$ The string can withstand a maximum force of $$20$$ N. The maximum value of the mass (m) for which the string will not break and the block will be in static equilibrium is ____________ kg.
Take $$\cos \theta = 0.8$$ and $$\sin \theta = 0.6$$. Acceleration due to gravity g $$=$$ $$10$$ m/s2 GATE ME 2016 Set 1 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 29 English
Your input ____
4
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A two-member truss $$PQR$$ is supporting a load W. The axial forces in members $$PQ$$ and $$QR$$ are respectively GATE ME 2016 Set 1 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 28 English
A
$$2W$$ tensile and $$\sqrt 3 W$$ compressive
B
$$\sqrt 3 W$$ tensile and $$2W$$ compressive
C
$$\sqrt 3 W$$ compressive and $$2W$$ tensile
D
$$2W$$ compressive and $$\sqrt 3 W$$ tensile
EXAM MAP