A cylindrical vessel of base radius 1 m and height 2m is completely filled with liquid of density 2 x 10 3 kg/m3. Thrust at the bottom =3 x 103, Ignore the atmospheric pressure and find the pressure exerted by the water at the bottom of the cylinder.
A beaker of circular cross section of radius 4 cm is filled with mercury up to a height of 10 cm. find the force exerted by the mercury on the bottom of the beaker. The atmospheric pressure = 105Nm−2. Density of mercury = 13600kgm−3. Take g=10ms−2.
A rectangular wooden block has length, breadth and height of 50 cm, 25 cm and 10 cm, respectively. This wooden block is kept on ground in three different ways, turn by turn. Which of the following is the correct statement about the pressure exerted by this block on the ground ? (a) the maximum pressure is exerted when the length and breadth form the base (b) the maximum pressure is exerted when length and height form the base (c) the maximum pressure is exerted when breadth and height form the base (d) the minimum pressure ig exerted when length and height form the base
The water in a cubical tank of side 10m is transferred to completely fill a cuboidal tank of length 5m and breadth 10m and height h. Then the height of the cuboidal tank (in metres) is ___
Water is filled in a rectangular tank of size 3m × 2 m × 1 m.
(a) Find the total force exerted by the water on the bottom surface of the tank.
(b) Consider a vertical side of area 2 m × 1 m. Take a horizontal strip of width δx metre in this side, situated at a depth of x metre from the surface of water. Find the force by the water on this strip.
(c) Find the torque of the force calculated in part (b) about the bottom edge of this side.
(d) Find the total force by the water on this side.
(e) Find the total torque by the water on the side about the bottom edge. Neglect the atmospheric pressure and take g= 10ms−2.