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№1 слайд![University Physics I Forces](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img0.jpg)
Содержание слайда: University Physics I
Forces
Review of Basic Concepts
№2 слайд![Vectors and Scalars All](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img1.jpg)
Содержание слайда: Vectors and Scalars
All physical quantities (e.g. speed and force) are described by a magnitude and a unit.
VECTORS – also need to have their direction specified
examples: displacement, velocity, acceleration, force.
SCALARS – do not have a direction
examples: distance, speed, mass, work, energy.
№3 слайд![Representing Vectors An](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img2.jpg)
Содержание слайда: Representing Vectors
An arrowed straight line is used.
The arrow indicates the direction and the length of the line is proportional to the magnitude.
№4 слайд![Addition of vectors](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img3.jpg)
Содержание слайда: Addition of vectors 1
№5 слайд![Addition of vectors With two](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img4.jpg)
Содержание слайда: Addition of vectors 2
With two vectors acting at an angle to each other:
Draw the first vector.
Draw the second vector with its tail end on the arrow of the first vector.
The resultant vector is the line drawn from the tail of the first vector to the arrow end of the second vector.
This method also works with three or more vectors.
№6 слайд![Resultant of Two Forces](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img5.jpg)
Содержание слайда: Resultant of Two Forces
№7 слайд![Addition of Vectors](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img6.jpg)
Содержание слайда: Addition of Vectors
№8 слайд![Addition of Vectors](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img7.jpg)
Содержание слайда: Addition of Vectors
№9 слайд![Resultant of Several](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img8.jpg)
Содержание слайда: Resultant of Several Concurrent Forces
№10 слайд![Rectangular Coordinate System](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img9.jpg)
Содержание слайда: Rectangular Coordinate System
№11 слайд![](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img10.jpg)
№12 слайд![Direction Angles](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img11.jpg)
Содержание слайда: Direction Angles
№13 слайд![Relationships for Direction](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img12.jpg)
Содержание слайда: Relationships for Direction Angles
№14 слайд![Example . A force has x, y,](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img13.jpg)
Содержание слайда: Example 1.
A force has x, y, and z components of 3, 4, and –12 N, respectively.
Express the force as a vector in rectangular coordinates.
№15 слайд![Determine the magnitude of](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img14.jpg)
Содержание слайда: Determine the magnitude of the force in previous example:
№16 слайд![Determine the three direction](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img15.jpg)
Содержание слайда: Determine the three direction angles for the force :
№17 слайд![](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img16.jpg)
№18 слайд![Vector Operations to be](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img17.jpg)
Содержание слайда: Vector Operations to be Considered
Scalar or Dot Product: A•B
Vector or Cross Product: AxB
Triple Scalar Product: (AxB)•C
№19 слайд![Consider two vectors A and B](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img18.jpg)
Содержание слайда: Consider two vectors A and B oriented in different directions.
№20 слайд![Scalar or Dot Product](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img19.jpg)
Содержание слайда: Scalar or Dot Product
№21 слайд![First Interpretation of Dot](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img20.jpg)
Содержание слайда: First Interpretation of Dot Product:
Projection of A on B times the length of B.
№22 слайд![Or alternatively Projection](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img21.jpg)
Содержание слайда: Or alternatively:
Projection of B on A times the length of A.
№23 слайд![Some Implications of Dot](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img22.jpg)
Содержание слайда: Some Implications of Dot Product
№24 слайд![Example Perform several](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img23.jpg)
Содержание слайда: Example : Perform several scalar operations on the following vectors:
№25 слайд![](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img24.jpg)
№26 слайд![Vector or Cross Product](/documents_6/83935da3fd9a4582a7bf9c6dfae66057/img25.jpg)
Содержание слайда: Vector or Cross Product