1
GATE ME 2009
MCQ (Single Correct Answer)
+2
-0.6
A uniform rigid rod of mass $$M$$ and length $$L$$ is hinged at one end as shown in theadjacent figure. A force P is applied at a distance of $$2L/3$$ from the hinge so thatthe rod swings to the right. The reaction at the hinge is GATE ME 2009 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 32 English
A
$$-P$$
B
$$0$$
C
$$P/3$$
D
$$2p/3$$
2
GATE ME 2009
MCQ (Single Correct Answer)
+2
-0.6
You are asked to evaluate assorted fluid flows for their suitability in a given laboratory application. The following three flow choices. Expressed in terms of the two - dimensional velocity fields in the $$x-$$ $$y$$ plane, are made available.
$$P:$$ $$u = 2y,\,\,\,v = - 3x$$
$$Q:$$ $$u=3xy,$$ $$\,\,\,\,$$$$v=0$$
$$R:$$ $$u=-2x,$$ $$\,\,\,\,$$$$v=2y$$

Which flows should be recommended when the application requires the flow to be incompressible and irrotational?

A
$$P$$ and $$R$$
B
$$R$$ only
C
$$Q$$ and $$R$$
D
$$R$$ only
3
GATE ME 2009
MCQ (Single Correct Answer)
+2
-0.6
Consider steady, incompressible and irrotational flow through a reducer in a horizontal pipe where the diameter is reduced from $$20cm$$ to $$10cm.$$ The pressure in the $$20cm$$ pipe just upstream of the reducer is $$150kPa.$$ The fluid has a vapour pressure of $$50kPa$$ and a specific weight of $$5\,\,kN/{m^3}.$$ Neglecting frictional effects, the maximum discharge (in $${m^3}/s$$) that can pass through the reducer without causing cavitation is
A
$$0.05$$
B
$$0.16$$
C
$$0.27$$
D
$$0.38$$
4
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
The velocity profile of a fully developed laminar flow in a straight circular pipe, as shown in the figure, is given by the expression. $$$u\left( r \right) = {{ - {R^2}} \over {4\mu }}\left( {{{dp} \over {dx}}} \right)\left( {1 - {{{r^2}} \over {{R^2}}}} \right)$$$
Where $${{dp} \over {dx}}$$ is a constant.

GATE ME 2009 Fluid Mechanics - Laminar Flow Question 20 English

The average velocity of fluid in the pipe is

A
$${{ - {R^2}} \over {8\mu }}\left( {{{dp} \over {dx}}} \right)$$
B
$${{ - {R^2}} \over {4\mu }}\left( {{{dp} \over {dx}}} \right)$$
C
$${{ - {R^2}} \over {2\mu }}\left( {{{dp} \over {dx}}} \right)$$
D
$${{ - {R^2}} \over \mu }\left( {{{dp} \over {dx}}} \right)$$
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