An object of weight W has a uniform rectangular cross section of a x2a and density of `0.25g//cm^(3)` part of it is immersed in water and the rectangle is tilted by `45^(underset(-)(@))` while one of its corners is just at the water surface find the torque of the buoyancy force to the centre of mass of the object.

A vessel full of water has a bottom of area 20 cm^(2) , top of area 20 cm^(2) , height 20 cm and volume half a litre as shown in figure. (a) find the force exerted by the water on the bottom. (b) considering the equilibrium of the water, find the resultant force exerted by the sides of the glass vessel on the water. atmospheric pressure =1.0xx10^(5) N//m^(2) . density of water =1000 kg//m^(3) and g=10m//s^(2)

A vertical U tube of uniform cross section contains mercury in both of its arms. A glycerine (d=1.3g//cm^(3)) column of length 10 cm is introduced into one of the arms. Oil of density 0.8g//cm^(3) is poured in the other arm until the upper surfaces of the oil and glycerine are in the same horizontal level. Find the length of oil column. Densit of mercury is 13.6g//cm^(3) .

An object of mass 50 g has a volume of 20 cm^(3) Calculate the density of the object. If the density of water 1//g cm^(2) , state whether the object will float or sink in water.

An object of mass 25 g is under water at a depth of 50 cm . Relative density of the meterial of the object is 5 and the value of g is 980 cm *s^(-2) . Calculate the work done in lifting the object up to the surface from its present position.

A cylinder containing water upto a height of 25cm has a hole of area of cross section 1/4 cm^2 in its bottom. It is counterpoised in a balance. The initial change in its weight, when water just starts flowing out is

A vertical U-tube of uniform inner cross section contains mercury in both sides of its arms. A glycerin (density =1.3 g//cm ^(3)) column of length 10 cm is introduced into one of its arms. Oil of density 0.8 gm //cm^(3) is poured into the other arm until the upper surfaces of the oil and glycerin are in the same horizontal level. Find the length of the same horizontal level. Find the length of the oil column, Density of mercury =13.6 g//cm^(3)

A vertical U-tube of uniform inner cross section contains mercury in both sides of its arms. A glycerin (density =1.3 g//cm ^(3)) column of length 10 cm is introduced into one of its arms. Oil of density 0.8 gm //cm^(3) is poured into the other arm until the upper surfaces of the oil and glycerin are in the same horizontal level. Find the length of the same horizontal level. Find the length of the oil column, Density of mercury =13.6 g//cm^(3)