. A plate of mass M is suspended between two opposing jets, each of area A, velocity Vo and density . The plate is suddenly given a velocity Vo parallel to one of the jets. Determine the subsequent motion of the plate (x(t)), and the maximum displacement of the plate (xmax). Neglect any mass of liquid adhering to the plate, and consider the flow at any instant as quasi-steady. Neglect friction and assume that the motion takes place only along the x direction.

Question

.  A plate of mass M is suspended between two opposing jets, each of area A, velocity Vo and density .  The plate is suddenly given a velocity Vo parallel to one of the jets.  Determine the subsequent motion of the plate (x(t)), and the maximum displacement of the plate (xmax).  Neglect any mass of liquid adhering to the plate, and consider the flow at any instant as quasi-steady.  Neglect friction and assume that the motion takes place only along the x direction.

Joseph Loehe · Accepted Answer

Paul, This is Dr. Loehe, I am very disappointed that you did not come to me before cheating on a homework problem. See me after class tomorrow, and we will have a talk. Kind Regards, Joseph Loehe

drwls · Answer

I would expect the behavior to depend upon how much of the jets are intercepted by the plate. The Jet expansion, with or without a plate in the flow, is a nontrivial problem.