1
GATE ME 1993
+1
-0.3
The cylinder shown below rolls without slipping. In which direction does the friction force act? Towards which of the following points is the acceleration of the point of contact A on the cylinder directed? A
The mass centre
B
The geometric centre
C
The point P as marked
D
None of the above
2
GATE ME 1993
+2
-0.6
A velocity field is given as $$\overrightarrow V = 3{x^2}y\widehat i - 6xyz\widehat k$$\$
Where $$x,y,z$$ are in $$m$$ and $$V$$ $$m/s.$$ Determine if

(i) It represents an incompressible flow
(ii) The flow is irrotational
(iii) The flow is steady .

A
(i) and (iii)
B
(i) and (ii)
C
(ii) and (iii)
D
(i) only
3
GATE ME 1993
+1
-0.3
Shown below are three pipe sections through which water flows as shown. Option $$(a)$$ to $$(d)$$ below pertain to the direction of the net force on the pipe section due to the flow of water. State which of the options indicate the correct direction of force for pipe $$1,$$ pipe $$2$$ and pipe $$3.$$

A
$${45^0}$$ to both $$+ve$$ $$X$$ and $$+ve$$ $$Y$$ axes
B
$${45^0}$$ to both $$-ve$$ $$X$$ and $$+ve$$ $$Y$$ axes
C
$${45^0}$$ to both $$+ve$$ $$X$$ and $$-ve$$ $$Y$$ axes
D
$${45^0}$$ to both $$-ve$$ $$X$$ and $$-ve$$ $$Y$$ axes
4
GATE ME 1993
Subjective
+1
-0
Shown below are three cylindrical gates which restrain water in $$2$$-$$D$$ channel. Which gate experiences the maximum vertical component, the minimum vertical component and the maximum horizontal component of the hydrostatic force? GATE ME Papers
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