ENR 203: Exam 1 Review Problems
1) The two mooring cables exert forces on the stern of a ship as shown below. Represent each
force as a Cartesian vector and determine the magnitude and coordinate direction angles of the
resultant.
Given: See diagram
Find:

3-D FREE-BODY DIAGRAMS, EQUILIBRIUM EQUATIONS,
CONSTRAINTS AND STATICAL DETERMINACY
Todays Objective:
Students will be able to:
a) Identify support reactions in 3-D
and draw a free-body diagram, and,
b) Apply the equations of equilibrium.
In-Class Activit

EQUATIONS OF EQUILIBRIUM &
TWO- AND THREE-FORCE MEMEBERS
Todays Objectives:
Students will be able to:
a) Apply equations of equilibrium to
solve for unknowns, and,
In-Class Activities:
b) Recognize two-force members.
Equations of
Equilibrium
Application

THE METHOD OF SECTIONS
Todays Objectives:
Students will be able to determine:
1. Forces in truss members using the
method of sections.
In-Class Activities:
Applications
Method of Sections
Group Problem Solving
APPLICATIONS
Long trusses are often used t

SIMPLE TRUSSES, THE METHOD OF JOINTS,
& ZERO-FORCE MEMBERS
Todays Objectives:
Students will be able to:
In-Class Activities:
a) Define a simple truss.
Applications
b) Determine the forces in members of a
simple truss.
Simple Trusses
c) Identify zero-for

DOT PRODUCT
Todays Objective:
Students will be able to use the vector dot
product to:
a) determine an angle between
two vectors, and,
b) determine the projection of a vector
along a specified line.
In-Class Activities:
Applications / Relevance
Dot produ

POSITION VECTORS & FORCE VECTORS
Todays Objectives:
Students will be able to :
a) Represent a position vector in Cartesian
coordinate form, from given geometry.
b) Represent a force vector directed along
a line.
In-Class Activities:
Applications /
Releva

MOMENT ABOUT AN AXIS
Todays Objectives:
Students will be able to determine the moment of a force about
an axis using
a) scalar analysis, and,
In-Class Activities:
b) vector analysis.
Applications
Scalar Analysis
Vector Analysis
Group Problem Solving
A

MOMENT OF A FORCE (SCALAR FORMULATION),
CROSS PRODUCT, MOMENT OF A FORCE (VECTOR
FORMULATION), & PRINCIPLE OF MOMENTS
Todays Objectives :
Students will be able to:
a) understand and define moment, and,
b) determine moments of a force in 2-D and
3-D cases.

CARTESIAN VECTORS AND
THEIR ADDITION & SUBTRACTION
Todays Objectives:
Students will be able to:
a) Represent a 3-D vector in a
Cartesian coordinate system.
b) Find the magnitude and
coordinate angles of a 3-D vector
c) Add vectors (forces) in 3-D
space
In

FORCE VECTORS, VECTOR OPERATIONS & ADDITION COPLANAR
FORCES
Todays Objective:
Students will be able to :
a) Resolve a 2-D vector into components.
b) Add 2-D vectors using Cartesian vector notations.
In-Class activities:
Application of Adding Forces
Parall

EQUILIBRIUM OF A RIGID BODY
&
FREE-BODY DIAGRAMS
Todays Objectives:
Students will be able to:
a) Identify support reactions, and,
b) Draw a free-body diagram.
In-Class Activities:
Applications
Support Reactions
Free-Body Diagrams
Group Problem Solving