# 0.9 Phy1060: motion -- displacement and vectors  (Page 11/13)

 Page 11 / 13

Screen output

When you open the html file in your browser, the text shown in Figure 12 should appear in your browser window.

Figure 12 . Screen output for Listing #2.
```Hello from JavaScript vecABv = 0vecABh = 30 vecBCv = 28.284271247461902vecBCh = -28.2842712474619 vecResultMag = 28.336261665087125vecResultAng = 86.5286817554714 The End```

Explanation of the code

Listing 2 begins with a copy of the getAngle method that I explained in conjunction with Listing 1 . I won't repeat that explanation here.

Define magnitudes and angles of vectors

Then Listing 2 declares and initializes four variables that represent the magnitude and angle of each of the two vectors. The variable names that end with"mag" contain magnitude values and the variable names that end with "ang" contain angle values, which are converted from degrees to radians.

Compute horizontal and vertical components

Then Listing 2 calls the Math.cos and Math.sin methods to compute the horizontal and vertical components of each vector. The variable names that endwith "h" contain horizontal component values and the variable names that end with "v" contain vertical component values.

Compute the sums of the components

The procedure for adding two or more vectors is to

• Add the horizontal components of all the vectors to get the horizontal component of the resultant vector.
• Add the vertical components of all the vectors to get the vertical component of the resultant vector.
• Compute the magnitude (if needed) of the resultant vector as the square root of the sum of the squares of the horizontal and vertical components.
• Compute the angle (if needed) of the resultant vector as the arctangent of the ratio of the vertical component and the horizontal component.

Listing 2 computes the sum of the horizontal components from each of the vectors and saves the result in the variable named vecResultH . Then it computes the sum of the vertical components and saves the result in thevariable named vecResultV .

Compute the magnitude of the resultant

In many cases, simply knowing the horizontal and vertical components is the solution to the problem. However, in some cases, it is necessary to convertthose components into a magnitude and an angle.

There are a couple of ways to compute the magnitude. One way is to use the Pythagorean theorem as described above to compute the square root of the sum of the squares of the horizontal and verticalcomponents.

The Math.sqrt and Math.pow methods

The method named Math.sqrt can be called to return the square root of its positive argument. (If the argument is negative, the method returns NaN, whichis an abbreviation for "Not a Number".)

The method named Math.pow can be called to raise the value specified by the first argument to the power specified by the second argument.

Listing 2 calls those two methods to compute the magnitude of the resultant and to save that value in the variable named vecResultMag .

Compute the angle of the resultant

Then Listing 2 calls the getAngle method that we developed earlier to get the angle of the resultant and to save the angle in degrees in the variable named vecResultAng .

Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
how did you get the value of 2000N.What calculations are needed to arrive at it
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