Mechanical Prop...

The area of cross-section of the two arms of a hydraulic press are 1 $$cm^2$$ and 10 $$cm^2$$ respectively (figure). A force of 50 N is applied on the water in the thicker arm. What force should be applied on the water in the thinner arm so that the water may remain in equilibrium?

Two parallel glass plates are dipped partly in a liquid of density $$'d'$$ keeping them vertical. If the distance between the plates is $$'x'$$ Surface tension for liquid is $$T$$ & angle of contact is $$\displaystyle \theta $$ then rise of liquid between the plates due to capillary will be

A force of $$500 N$$ acts on a square piece of plywood, each of whose sides is $$5 m$$ long. Calculate the pressure acting on the piece of plywood.

A tank is filled with water up to height $$H$$. Water is allowed to come out of a hole P in one of the walls at a depth $$D$$ below the surface of water. The horizontal distance $$x$$ in terms of $$H$$ and $$D$$ will be expressed as :

A force of $$400 N$$ exerts a pressure of $$20 N/cm^{2}$$. What is the area on which the force acts?

A fixed cylindrical vessel is filled with water up to height $$H$$. A hole is bored in the wall at a depth $$h$$ from the free surface of water. For maximum horizontal range $$h$$ is equal to :

A boy stands on the ground. The area below his feet is $$70 cm^{2}$$. The pressure he exerts on the ground is $$7 N/cm^{2}$$. Calculate the total force acting on the ground.

Water flows in a horizontal tube as shown in figure. The pressure of water changes by 600 $$N/m^2$$ between x and y where the areas of cross - section are 3 $$cm^2$$ and 1.5$$cm^2$$ respectively. Find the rate of flow of water through the tube.

A force exerts a pressure of $$45 N/m^{2}$$ when it acts on an area of $$10 m^{2}$$. Calculate the total force

Water flows through a frictionless duct with a cross section varying as shown in fig. Pressure $$p$$ at points along the axis is represented by