FUND OF THERMODYNAMICS- UND CUSTOM
2nd Edition
ISBN: 9781119694205
Author: Borgnakke
Publisher: WILEY C
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Textbook Question
Chapter 1, Problem
One kilopond (1 kp) is the weight of 1 kg in the standard gravitational field. What is the weight of
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Fy = 100 N
Fx = 100 N
Z
a = 500 mm
F₂ = 500 N
b = 1000 mm
Figure 2: Schematics for problem 3.
1. Draw the moment (M), axial (N), and shear (S) diagrams. Please note that this is a 3D problem and you
will have moment (M) and shear (S) along two different axes. That means that you will have a total of 5
diagrams.
I tried solving this one but have no idea where I went wrong can you please help me out with this?
Question 1.
A tube rotates in the horizontal xy plane with a constant angular velocity w about the z-axis. A
particle of mass m is released from a radial distance R when the tube is in the position shown.
This problem is based on problem 3.2 in the text.
y
ω
R
m
2R
Figure 1
X
a) Draw a free body diagram of the particle if the tube is frictionless.
b) Draw a free body diagram of the particle if the coefficient of friction between the sides of the
tube and the particle is μs = flk = fl.
c) For the case where the tube is frictionless, what is the radial speed at which the particle
leaves the tube?
d) For the case where there is friction, derive a differential equation that would allow you to
solve for the radius of the particle as a function of time. I'm only looking for the differential
equation. DO NOT solve it.
e) If there is no friction, what is the angle of the tube when the particle exits?
• Hint: You may need to solve a differential equation for the last part. The "potentially…
Chapter 1 Solutions
FUND OF THERMODYNAMICS- UND CUSTOM
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