1
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of $$f\left( t \right)$$ is $${1 \over {{s^2}\left( {s + 1} \right)}}.$$
The function
A
$$t - 1 + {e^{ - t}}$$
B
$$t + 1 + {e^{ - t}}$$
C
$$ - 1 + {e^{ - t}}$$
D
$$2t + {e^t}$$
2
GATE ME 2010
MCQ (Single Correct Answer)
+2
-0.6
A lightly loaded full journal bearing has a journal of $$50mm,$$ bush bore of $$50.50mm$$ and bush length of $$20mm.$$ if rotational speed of journal is $$1200rpm$$ and average viscosity of liquid lubricant is $$0.03$$ $$Pa$$- $$sec,$$ the power loss (in Watt) will be :
A
$$37$$
B
$$74$$
C
$$118$$
D
$$237$$
3
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
For the stability of a floating body, under the influence of gravity alone, which of the following is TRUE?
A
Metacentre should be below centre of gravity
B
Metacentre should be above centre of gravity
C
Metacentre and centre of gravity must lie on the same horizontal line
D
Metacentre and centre of gravity must lie on the same vertical line.
4
GATE ME 2010
MCQ (Single Correct Answer)
+2
-0.6
Velocity vector of a flow fields is given as $$\overrightarrow V = 2xy\widehat i - {x^2}z\widehat j.$$ The vorticity vector at $$(1,1,1)$$ is
A
$$4\,\,\widehat i - \widehat j$$
B
$$4\,\,\widehat i - \widehat k$$
C
$$\widehat i - 4\widehat j$$
D
$$\widehat i - 4\widehat k$$
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