1
GATE ME 2014 Set 3
Numerical
+1
-0
The real root of the equation $$5x-2cosx=0$$ (up to two decimal accuracy) is
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2
GATE ME 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
An analytic function of a complex variable $$z = x + iy$$ is expressed as
$$f\left( z \right) = u\left( {x + y} \right) + iv\left( {x,y} \right),$$ where $$i = \sqrt { - 1} .$$ If $$u(x, y)=$$ $${x^3} - {y^2}$$
then expression for $$v(x,y)$$ in terms of $$x,y$$ and a general constant $$c$$ would be
A
$$xy+c$$
B
$${{{x^2} + {y^2}} \over 2} + c$$
C
$$2xy+c$$
D
$${{{{\left( {x - y} \right)}^2}} \over 2} + c$$
3
GATE ME 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
A mass m1 of 100kg travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass m2 of 1000kg. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is
A
0.6
B
0.1
C
0.01
D
0
4
GATE ME 2014 Set 3
Numerical
+2
-0
A body of mass (m) 10kg is initially stationary on a 45° inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is 0.5. The body slides down the plane and attains a velocity of 20 m/s. The distance travelled (in meter) by the body along the plane is _______ GATE ME 2014 Set 3 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 23 English
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