Q: A cubical block of side length " a " and density " Ï " slides over the fixed incline with velocity " v ". There is a thin film of fluid of thickness " t " between plane and block, then find the coefficient of viscosity.
Q: An interstellar explorer discovers a remarkable planet made entirely of an uniform incompressible liquid of density " Ï ". The radius of the planet is " R " and Accn. due to gravity at surface is " g ".
What is the pressure at the center of the Planet.
-
UP 0 DOWN 0 0 13
13 Answers
if that would have been the answer i wouldn't have posted it. sorry.
go at some x, take a shell (of liquid) of thickness ∂x.
gravitational force on this shell is balanced by the force due to difference in pressure at x and x+∂x
so (Px - Px+dx)4Ï€x2 = GMÏ4Ï€x3dxR3
and use Px - Px+dxdx ≈ - dPdx
and integrate both sides for x = 0 to x = R
and Px=0 = P required
Px=R= 0
gravitational force on this shell is balanced by the force due to difference in pressure at x and x+∂x
Would you mind posting a FBD for that please.