力学作业（英文版）- (17).pdf

Problem Set 5B Name: ____________________
Assigned: Thursday, October 4
Due: Wednesday, October 10

TURN IN BOTH PS 5A AND 5B IN THE BOX OUTSIDE MY OFFICE (5-303)
NO LATER THAN 4:00 PM ON WEDNESDAY.


1. Supplementary Problem I2.

2. A fluid jet issues from a long vertical slot and strikes against a vertical flat plate at an
angle. The resulting two-dimensional steady flow in a horizontal plane is shown below.
The plate is frictionless.

(a) If the volume flow rate of a vertical section of the jet before it strikes the plate is
=
Q0 V0 A0 , where A0 is the section area, find the flow rates Q1 and Q2 in terms of Q0 .
(Hint: think Bernoulli)

(b) Find the magnitude of the force F exerted on the vertical section of the plate.

A V1
A 1
0

θ
V0

A
2 F


V2


Hint: Consider a coordinate system that makes momentum analysis easy.


3. Complete the following statements:

(a) The vortic