Momentum and CollisionHard
Question
A closed cylinder of length ′l′ containing a liquid of variable density ρ(x) = ρ0 (1 + αx). Find the net force exerted by the liquid on the axis of rotation. (Take the cylinder to be mass less and A = cross sectional area of cylinder)
Options
A.
B.
C.
D.
Solution
dm = ρAdx; dF = (dm)ω2 x ⇒ F =
xρAdx = ω2ρ0A
x dx = ρ0Aω2l2 
Create a free account to view solution
View Solution FreeMore Momentum and Collision Questions
On a smooth carom board, a coin moving in negative y–direction with a speed of 3 m/s is being hit at the point (4, 6) by...Shape of meniscus for a liquid of zero angle of contact is : -...Water stands up to a height h behind the vertical wall of a dam. What is the net horizontal force pushing the dam down b...An impulse Î change the velocity of a particle from to . kinetic energy gained by the particle is...A metal ball immersed in alcohal weigh W1 at 0o and W2 at 50o. The coefficient of cubical expension of the metal is less...