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ICONIC PLUS
16. Q1. Two vertical plates are placed with a gap of 15 mm between them
and the gap is filled with glycerine ρg = 1260 kg/m3 and (μ =
1.5 kg. s/m2
). An 80 cm square, 3 mm thick steel plate weighing 110 N
is placed exactly midway in the glycerine-filled gap of the vertical
plates. If it is required to pull the steel plate vertically upwards at a
constant velocity of 15 cm/s, estimate the force required. (Neglect the
resistance at the edges of the plate).
17.
18. Q2. In an experiment, the tip of a glass tube with an internal
diameter of 2.0 mm is immersed to a depth of 1.50 cm in to a liquid
of specific gravity 0.85. Air is forced in to the tube to form a
spherical bubble just at the lower end of the tube. Estimate the
surface tension of the liquid if the air pressure in the bubble is 200
N/m2.
(a) 𝜎 = 0.00376 N/m
(b) σ = 0.0736N/m
(c) σ = 0.0376N/m
(d) σ = 0.376 N/m
19.
20. Q3. A liquid with specific gravity of 0.87 undergoes a reduction in
volume of 0.11% when subjected to an increase in pressure of 1500
kPa. Estimate the velocity of propagation of sound in this liquid.
(a) 1253 m/s
(b) 1255 m/s
(c) 2510 m/s
(d) 2512 m/s
21.
22. Q4. Find the force on one side of a semi-circular plate of radius 1.0 m,
immersed in water vertically with its base downwards. The base is at
a depth of 4.0 m below the water surface.
23.
24. Q5. A hemispherical bulge of diameter 1.2 m is provided in the
bottom of a tank. If the depth of water above the horizontal floor of
the tank is 3.0 m, calculate the magnitude and direction of the
resultant force on the hemisphere?
25.
26. Q6. A sector gate in the form of circular arc of radius 5 m retains
water to a height of 4 m above its sill as in figure. Calculate the
magnitude and direction of the resultant force per unit length of the
gate.
4.0 m
27.
28. Q7. A wooden block in the form of a rectangular prism floats with
its shortest axis vertical. The block is 40 cm long, 20 cm wide and
15 cm deep with a depth of immersion of 12 cm. Calculate the
position of the metacenter and comment on the stability of the
block.
29.
30. Q8. A solid cone of diameter 24 cm and height 20 cm floats with its
vertex downwards in water as shown in Figure. Is this cone in stable
equilibrium? (Take scone = 0.8)
31.
32. Q9. An open tank 5 m long and 2.0 m deep and 3.0 m wide contains
oil of relative density 0.9 to a depth of 0.9 m. If the tank is
accelerated along its length on a horizontal track at a constant
value of 3.0 m/s2, determine (a) the new position of the oil surface,
and (b) pressures at the bottom of the tank at the front and rear
edges.
q
M
N
ax
x
O
5.0 m
0.9 m
33.
34. Q10. The tank given in Q9. is given a horizontal acceleration of 4.5
m/s2. Calculate the amount of spill.
