"> (Answered) EXPERIMENT #4 - FORCE VECTORS THEORY: Graphical Vector Addition Vectors are represented graphically by arrows that originate from a point of... - Tutorials Prime

## (Answered) EXPERIMENT #4 - FORCE VECTORS THEORY: Graphical Vector Addition Vectors are represented graphically by arrows that originate from a point of...

EXPERIMENT #4 - FORCE VECTORS THEORY: Graphical Vector Addition Vectors are represented graphically by arrows that originate from a point of...

complete the graphical part show your calculationsEXPERIMENT #

4

â€“

FORCE VECTORS

THEORY:

Vectors are represented graphically by arrows that originate from a point of reference in

a mathematical coordinate system. The length of a vector arrow (drawn to scale on graph

paper) is directly proportional to the magnitude of the vector, and the arrow points in the same

direction as the vector itself.

The length scale is arbitrary and usually selected for convenience so that the vector

graph fits nicely on a sheet of graph paper. An example of a length scale for a force vector

would be

10

à µÂ±

=

1

à µ

. That is, each ten centimeters of vector length represents

1

Newton of

force. The scaling factor in this case, in terms of force per unit length, is

.

1

à µ

/

à µÂ±

.

In order to determine the vector summation of

à µ

+

à µ

first graphically create a

parallelogram of which

à µ

and

à µ

FIGUREâ€™ 1

below). The diagonal of this

parallelogram labeled as the resultant vector

à µ

, or simply the vector sum of

à µ

+

à µ

; or by vector

à µ

=

à µ

+

à µ

. The magnitude of this resultant vector is proportional to the length of the

diagonal arrow itself, and the direction of the resultant vector is that of the diagonal arrow. The

direction of

à µ

is specified as being at an angle

à µ

, relative to the positive horizontal axis.

An equivalent method of finding

à µ

is to place the vectors to be added â€œtip-to-tailâ€ where

the tip of the vector

à µ

is attached directly to the tail of the vector

à µ

as seen below in

FIGUREâ€™ 2

.

Vector arrows may be â€œâ€™movedâ€ so long as they remain pointed in the same direction. The â€œtip-

to-tailâ€ method gives the same result as the parallelogram method outlined above.

The magnitude of the resultant vector

à µ

, given by the symbol

à µ

, can be computed if we

are able to calculate the components of the vectors

à µ

and

à µ

. Each individual vector may be

resolved into

à µ

- and

à µ

- components, as depicted below in

FIGUREâ€™ 3

. That is, the vector

à µ

is the

specified by the components

à µ

!

and

à µ

!

in the form

à µ

=

à µ

!

à µ

+

à µ

!

à µ

where

à µ

!

=

à µ

cos

à µ

and

à µ

!

=

à µ

sin

à µ

. The magnitude of

à µ

is given by the hypotenuse of a right triangle such that

à µ

=

à µ

!

!

+

à µ

!

!

which is the Pythagorean Theorem. Using trigonometry we also have the equation

tan

à µ

=

à µ

!

à µ

!

Solution details:
STATUS
QUALITY
Approved

This question was answered on: Jan 02, 2020

Solution~000.zip (25.37 KB)

STATUS

QUALITY

Approved

Jan 02, 2020

EXPERT

Tutor

#### YES, THIS IS LEGAL

We have top-notch tutors who can do your essay/homework for you at a reasonable cost and then you can simply use that essay as a template to build your own arguments.

You can also use these solutions:

• As a reference for in-depth understanding of the subject.
• As a source of ideas / reasoning for your own research (if properly referenced)
• For editing and paraphrasing (check your institution's definition of plagiarism and recommended paraphrase).
This we believe is a better way of understanding a problem and makes use of the efficiency of time of the student.

### Order New Solution. Quick Turnaround

Click on the button below in order to Order for a New, Original and High-Quality Essay Solutions. New orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.

WE GUARANTEE, THAT YOUR PAPER WILL BE WRITTEN FROM SCRATCH AND WITHIN A DEADLINE.