Welcome!
© McGraw Hill, LLC
1
About me: Prof. (Soon to be Dr.) Larissa Oprysk
• Graduated from TCNJ with a B.S in ME in 2017
• M.S in ME from NYU in 2019
• FEA modeling of cardiovascular biomechanics
• Application: Simulation of angioplasty procedure
• Currently a PhD student at Rutgers University Studying BME
• Computational modeling of cellular mechanics
• Application: Retinal stem cell transplantation
• My fun fact: I usually work with a Seeing-Eye dog
© McGraw Hill, LLC
2
About me: Prof. Larissa Oprysk
•
My fun fact: I usually work with a SeeingEye dog
•
•
RIP: Professor Cadie 
• Coming Soon: New Professor Doggo
Usher Syndrome: Aka deaf-blindness
•
Wear Cochlear Implants – can’t tell
where sound comes from
•
That means: RAISE YOUR HANDS
PLEASE! 
•
Retinitis Pigmentosa – can’t see
peripherally, night-blindness
•
That means: I will probably trip over your
backpacks, and don’t turn off the lights,
and keep your hand up until I find you
© McGraw Hill, LLC
3
Welcome to Statics
• My email: Larissa.Oprysk@tcnj.edu
• Email me about everything and anything, if you don’t hear from me
in a reasonable time email me again!
• My Office: Stem 116
• Office hours: Tuesday & Friday 12:00 pm to 1:20 pm
• Other hours by appointment
• Need additional help?
• Study groups are highly recommended
• Check out the tutoring center
© McGraw Hill, LLC
4
Welcome to Statics – Grade Breakdown
• 10% Attendance & Participation
• Please let me know if you are unable to attend class via email
• Asking and answering questions goes into your participation score
• 10% Homework
• Scan all homework and upload to Canvas assignments, they will be
graded for completion so don’t stress about correct answers, use
this as an opportunity to practice problems
• 25% Quizzes
• Quizzes will always be administered at the beginning of class and
immediately gone over once completed. This means: NO
MAKEUPS. Speak with me about extenuating circumstances
• At least one quiz (depends on number given) will be dropped
• 25% Midterm Exam – will be given before Spring Break
• 30% Final Exam
© McGraw Hill, LLC
5
Because learning changes everything. ®
Vector Mechanics
for Engineers:
Statics
Chapter 1
Introduction
© McGraw Hill LLC. All rights reserved. No reproduction or distribution without the prior written consent of McGraw Hill LLC.
What is Mechanics?
Mechanics is the study of bodies under the action of forces.
Mechanics is an applied science, closely related to physics,
so many of the concepts will build on that prior knowledge.
Mechanics is the foundation of many engineering topics and
is an indispensable prerequisite to their study.
© McGraw Hill, LLC
7
Categories of Mechanics
Mechanics is the study of bodies under the action of forces.
Rigid Bodies
• Statics
• Dynamics
Deformable Bodies
• Strength of Materials
Fluids
• Liquids/gasses
• Fluid Mechanics
© McGraw Hill, LLC
8
Categories of Mechanics
Mechanics is the study of bodies under the action of forces.
Rigid Bodies
• Statics – bodies at rest or constant velocity
• Dynamics
Deformable Bodies
• Strength of Materials
Fluids
• Liquids/gasses
• Fluid Mechanics
© McGraw Hill, LLC
9
Categories of Mechanics
Mechanics is the study of bodies under the action of forces.
Rigid Bodies
• Statics – bodies at rest or constant velocity
• Dynamics – accelerating bodies
Deformable Bodies
• Strength of Materials
Fluids
• Liquids/gasses
• Fluid Mechanics
© McGraw Hill, LLC
10
Fundamentals of Physics
Newton’s laws of motion
1st Law
• Every object in a state of uniform motion (or rest) tends to
remain in motion (or at rest)
2nd Law
• If the resultant force acting on a particle is not zero, the
particle has an acceleration proportional to the magnitude of
the result and in the direction of the resultant force
• F = ma
3rd Law
• For every action there is an equal and opposite reaction
© McGraw Hill, LLC
11
Trigonometry
© McGraw Hill, LLC
12
Systems of Units
• Kinetic Units: space, time, mass, and force.
• The first three of the kinetic units, referred to as basic units, may be defined
arbitrarily. The fourth unit, referred to as a derived unit, must have a definition
compatible with Newton’s 2nd Law.
F  ma
© McGraw Hill, LLC
13
Systems of Units
• International System of Units (SI):
The basic units are length, time, and
mass which are arbitrarily defined as
the meter (m), second (s), and
kilogram (kg). Force is the derived unit.
F  ma
 m
1N  1kg   1 2 
 s 
• US Customary Units: The basic units
are length, time, and force which are
arbitrarily defined as the foot (ft),
second (s), and pound (lb). Mass is the
derived unit.
F
a
1lb
1slug 
1ft s
m
© McGraw Hill, LLC
14
Systems of Units
© McGraw Hill, LLC
15
Method of Solving Problems: Smart
Methodology
Strategy:
Include a clear statement of the
problem, figure(s) describing the
given information, and specification of
what is to be determined. Decide
what concepts apply and how they
can be used to solve the problem.
Analysis:
The six fundamental principles are
applied to express the conditions of rest
or motion of each body. The rules of
algebra are applied to solve the
equations for the unknown quantities.
Modeling:
Create a separate diagram for each
body, showing all quantities involved.
In equilibrium analyses, clearly
indicate all forces acting on each
body; such sketches are called freebody diagrams.
Reflect and Think:
• Test for errors by verifying that the
units of the computed results are
correct.
• Test for errors by substituting given
data and computed results into
previously unused equations.
• Always apply experience and
physical intuition to assess whether
results seem “reasonable”.
© McGraw Hill, LLC
16
Because learning changes everything.
®
www.mheducation.com
© McGraw Hill LLC. All rights reserved. No reproduction or distribution without the prior written consent of McGraw Hill LLC.