Buoyant force doubt

  • #1
528
33
If I have an object of mass m tied to the lower surface of a vessel having a liquid and the vessel accelerates upwards...
From FBD of object, Buoyant force acts upwards, mg down, pseudo force downwards (frame of reference is vessel) T down.
Here's the doubt. Why is F(buoyant force) = Vp(g+a) when I have already considered pseudo force?
Given in text book: ##Vp(g+a)-mg-T=ma##
But when I take the vessel as the frame of reference,
Shouldn't this be the equation: ##Vpg-mg-T-ma=0##
They say ##F=Vpg1##
g1=effective gravity
 

Answers and Replies

  • #2
Doc Al
Mentor
45,051
1,364
Here's the doubt. Why is F(buoyant force) = Vp(g+a) when I have already considered pseudo force?
Buoyant force is due to the pressure of the liquid acting on the object. When the vessel is accelerating, the fluid pressure actually increases.
 
  • Like
Likes AdityaDev
  • #3
Doc Al
Mentor
45,051
1,364
To see this more clearly, consider just the vessel and liquid alone. (Leave out the object for now.) With no acceleration, how does the pressure vary with depth? Now give the vessel an upward acceleration and figure out the new relationship between pressure and depth.
 
  • #4
528
33
To see this more clearly, consider just the vessel and liquid alone. (Leave out the object for now.) With no acceleration, how does the pressure vary with depth? Now give the vessel an upward acceleration and figure out the new relationship between pressure and depth.
Il try
 
  • #5
jbriggs444
Science Advisor
Homework Helper
9,653
4,305
To add to Doc Al's point, buoyancy is a real force. It is the name we use for the net force arising from the higher fluid pressure on the bottom surfaces of an object and the relatively lower fluid pressure on its top surfaces. Since it is a real force, it exists regardless of whether you adopt an inertial or an accelerating frame of reference.
 
  • Like
Likes AdityaDev and Doc Al

Related Threads on Buoyant force doubt

Replies
2
Views
2K
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
1
Views
683
  • Last Post
2
Replies
34
Views
4K
  • Last Post
Replies
0
Views
3K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
1
Views
4K
Replies
5
Views
4K
  • Last Post
Replies
5
Views
817
Replies
13
Views
5K
Top