Pressure is equal or force is equal at the bottom?

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SUMMARY

The discussion centers on the pressure and force at the bottom of two identical containers filled with the same liquid but oriented differently. It is established that while the pressure at the bottom of both containers is equal due to the same height of liquid, the forces exerted on the bottom differ due to the sloping sides of the containers. The pressure is isotropic and independent of the container's shape, while the net force acting on the bottom varies based on the geometry of the container. A free body diagram is essential for accurately analyzing the forces involved.

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  • #31
Again volume of both the fluid is same ; so the density. That means weighing machine would read same for both.
Pressure will be same at the bottom of container because it is dependent only on the height of water column.

In the first figure the slanted wall will exert force on the downward direction plus the weight of the fluid also acting downward, that will be compensated by larger flat base
In the 2nd figure slanted wall will exert force on upward direction, that will compensate only weight of the fluid; no need of larger flat base.

Moral of the story; same net force, same pressure on the bottom of the two tank.
 
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  • #32
Ravi Singh choudhary said:
Moral of the story; same net force, same pressure on the bottom of the two tank.

Yes, that's correct. If one draws a free body diagram of a small patch of each container bottom, then the force applied to the inside is the same in both cases while the force applied to the outside of the elements changes depending on the bottom area. The net force on these elements must be zero. This additional force is applied at he edges of the elements and originates from stresses applied from the slanted walls.
 

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