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.
APPLICATIONS
If the design for the cable placements requi
EQUILIBRIUM OF A PARTICLE, THE FREE-BODY DIAGRAM & COPLANAR FORCE SYSTEMS
Todays Objectives: Students will be able to : a) Draw a free body diagram (FBD), and, b) Apply equations of equilibrium to solve a 2-D problem.
APPLICATIONS The crane is lifting a l
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.
APPLICATIONS
This awning is held up by thre
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
AP
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.
APPLICATION OF VECTOR ADDITION There are three concurren
STATICS
Department of Civil Engineering & Mechanics University of Wisconsin-Milwaukee CIV ENG 240-201, Lec 401
MECHANICS, UNITS, NUMERICAL CALCULATIONS & GENERAL PROCEDURE FOR ANALYSIS Todays Objectives: Students will be able to: a) Explain mechanics / st
MOMENT OF A COUPLE
Todays Objectives: Students will be able to a) define a couple, and, b) determine the moment of a couple.
APPLICATIONS
A torque or moment of 12 N m is required to rotate the wheel. Why does one of the two grips of the wheel above requir
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 b) vector analysis.
APPLICATIONS
With the force P, a person is creating a moment MA. Does all of MA act to turn th
THREE-DIMENSIONAL FORCE SYSTEMS Todays Objectives: Students will be able to solve 3-D particle equilibrium problems by a) Drawing a 3-D free body diagram, and, b) Applying the three scalar equations (based on one vector equation) of equilibrium.
APPLICATI
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.