Training and Staff Development HRM455
Module 4: Mastery Exercise Answers
Question 1
As something developed by both training and learning organizations, a _ is more than
just KSAs; it is the ability to
c) Compute the average force being exerted on the stream of beads by
the pan over a second (assuming that N 1, so that many beads
strike the pan per second). d) Use Newtons Third Law to deduce the
ave
This problem will help you learn required concepts such as:
Center of Mass of Continuous Mass Distributions Integrating Over
Distributions
so please review them before you begin.
In the gure above a
(block at rest)
This problem will help you learn required concepts such as:
Momentum Conservation The Impact Approximation Elastic
versus Inelastic Collisions The Non-conservative Work-Mechanical
Ene
In the gure above, two identical billiard balls of mass m are sitting in
a zero gravity vacuum (so that we can neglect drag forces and gravity).
The one on the left is given a push in the x-direction
where = d dt = d2 dt2 is the angular accleration of the particle.
Although the magnitude of vr = 0, we note well that the direction of
~vt is constantly changing and we know that ar = v2/r = r2 which
the lungs, where it is oxygenated and returned to the heart by means
of pulmonary veins. These two distinct circulations do not mix and
together, form a closed double circulation loop. The heart is th
and to keep the pulley accelerating up with the string, the string has to
exert a torque on the pulley due to the unequal forces.
Week 5: Torque and Rotation in One Dimension 253
One last thing to not
x
r
Figure 60: A force ~ F is applied at some angle (relative to ~r) to the
ball on the pivoted massless rod.
rotation, but because we arent yet ready to tackle extended objects all
of the mass is con
rd dr
r
Figure 66: A disk of mass M and radius R is pivoted to spin freely
around an axis through its center.
In gure 66 a disk of uniformly distributed mass M and radius R is
drawn. We would like to
so please review them before you begin.
Romeo and Juliet are sitting in a boat at rest next to a dock, looking
deeply into each others eyes. Juliet, overcome with emotion, walks at
a constant speed v
Although to us so far this looks just like a trivial algebraic rewrite of
something we could have worked with just as easily as the real thing in
the s coordinates, it is actually far more general and
In gure 69 above, a disk of mass M and radius r sits on an inclined
plane (at an angle ) as shown. It rolls without slipping down the
incline. We would like to nd its acceleration ax down the incline,
250 Week 5: Torque and Rotation in One Dimension
A disk rolling down an inclined plane. An Atwoods Machine, but
with a massive pulley. An unwinding spool of line, either falling or
being pulled.
Thes
symmetric across the axis of rotation. Now each of the two masses has
a torque acting on it due to the rod connecting it with the origin, each
mass has a vector angular momentum that at right angles t
will need to do just a teensy bit of work to show that this is true and
extract any essential conceptual insight to be found along the way.
Week 5: Torque and Rotation in One Dimension 243
5.3: The Mo
physics! As a rule in this course, if you are a math, physics, or
engineering major I expect you to go the extra mile and nish o the
algebra, but if you are a life science major who came into the cour
This formally proves that my guess of = I as being the correct
form of Newtons Second Law for this simple rotating rigid body holds
up pretty well no matter where we apply the force(s) that make up th
mass right after the collision is exactly the same as that of the free rod
found above.
Week 6: Vector Torque and Angular Momentum 295
m v0
m
M
M
f
L
pivot
Figure 87: A blob of putty of mass m travell
pivot r is a constant but the angle can vary in time as external
forces act on the system.
The very rst things we need to do are to bring to mind the set of
rotational coordinates that
107In particula
~ L = ~rp~ = ~rm~v (623) which points up and to the left at the
instant shown in gure 88. Note well that ~ L is perpendicular to both
the plane containing ~r and ~v, and that as the mass moves around
vo
o
fv
This problem will help you learn required concepts such as:
Newtons Third Law Momentum Conservation Fully Inelastic
Collisions
so please review them before you begin.
In the gure above, a lar
This is displayed in gure 61. A massless rod as long or longer than
both rm and rF is pivoted at one end so it can swing freely (no
friction). The mass m is attached to the rod at the position rm. A f
1
2
2
Figure 70: Atwoods Machine, but this time with a massive pulley of
mass M and radius R. The massless unstretchable string connecting
the two masses rolls without slipping on the pulley, exerting
32
max (509)
or:
ax =
23
g sin() (510)
We can then substitute this back into the equation for fs above to get:
fs =
12
max =
13
mg sin() (511)
In order to roll without slipping, we know that fs sN or
The four places where the tires are in contact with the pavement, of
course. Those points arent sliding on the pavement, they are rolling,
and rolling means that they are coming down at rest onto the
before, the limit of this sum as N is by denition the integral, and
in this limit the sum exactly represents the moment of inertia of the
rod.
We can easily evaluate this. To do so, we chant our ritua
Im not going to quite nish this one for you, as there are a lot of
things one can ask and it is a homework problem. But I do want you to
get a good start.
The spool in gure 67 is wrapped many times ar
This now reveals the only point where we have to do real work in this
frame (or any other) nding If around the center of mass! Lots of
opportunities to make mistakes, a need to use Our Friend, the Par
millimeter is still absurdly large on an atomic scale. We could make
the cube 1 micron (1106 meter, a thousandth of a millimeter) and
because atoms have a generic size around one Angstrom 11010
meters
INTERNATIONAL
TRAINING
SOLUTION
TARA WIDMER
IDENTIFY IF WE NEED TRAINING
Perform a Needs Assessment including
Identify our current situation
Analyze and examine our goals
Determine the problem or setb
TRAINING DELIVERY
Tara Widmer
Training Delivery
Dr. Shoemaker
8/23/17
HRM455
CSU-Global
1
TRAINING DELIVERY
Training Delivery
INTRODUCTION
The training delivery is a very important aspect in an organi
THE VALUE OF ANDRAGOGY AND PEDAGOGY
Tara Widmer
7/28/17
HRM455
The Value of Andragogy and Pedagogy
Dr. Harold Shoemaker
1
THE VALUE OF ANDRAGOGY AND PEDAGOGY
The Values of Andragogy and Pedagogy
INTRO
NEEDS ANALYSIS AND TRAINING PROPOSAL
Tara Widmer
Needs Analysis and Training Proposal
Dr. Harold Shoemaker
9/5/2017
HRM455
CSU-Global
1
NEEDS ANALYSIS AND TRAINING PROPOSAL
Needs Analysis and Training