A rod is hinged at point O. What part of length should be submerged in water so that it remains in equilibrium, if specific gravity is 0.50?

A smooth rod length l is kept inside a trolley at an angle theta as shown in the figure. What should be the acceleration a of the trolley so that the rod remain in equilibrium with respect to it?

A rigid mass less rod of length L is hinged at its one end a weight W is hung at a distance l(lt L) from this end. What is force P should be applied upwards at the other end so that the rod remains in equilibrium horizontally ? .

One end of a board of length l is hinged on top of a stone protruding from water . Length a of the board is above the point of support (Fig) . What part of the board is below the surface of the water in equilibrium state , if the density of wood is gamma ?

A uniform wooden bar of length l and mass m hinged on a vertical wall of a containing water, at one end. 3//5th part of the bar is submerged in water. Find the ratio of densities of the liquid and the bar.

A wooden plank of length 1m and uniform cross-section is hinged at one end to the bottom of a tank as shown in fig. The tank is filled with water upto a hight 0.5m. The specific gravity of the plank is 0.5. Find the angle theta that the plank makes with the vertical in the equilibrium position. (Exclude the case theta=theta^@ )

A cubical block of ice floating in water has to suport metal piece weighing 0.5 kg. What can be the minimum edge of the block so that it does not sink in water/ specific gravity of ice=0.9.

The ratio of masses of a cubical block of wood and a chunk of concrete is 3/5 so that the combination just floats with entire volume submerged under water. If the specific gravity of wood is 0.5 then specific gravity of concrete will be

A spring balance measures mass of a block as 50kg when the block is submerged in water its reading is 45kg while when block is submerged in unknown liquid reading is 42kg .The specific gravity of liquid is

The wooden plank of length 1 m and uniform cross section is hinged at one end to the bottom of a tank as shown in figure. The tank is filled with water up to a height of 0.5 m. The specific gravity of the plank is 0.5. Find the angle theta that the plank makes with the vertical in the equilibrium position. (Exclude the case theta=0 ) ,