did you guys get this : The x-component of motion of an object is given by x(t) = Axcos(ωxt + φx) and the y-component of motion of the object is given by y(t) = Aycos(ωyt + φy). What relationships between the A,ω, and φ parameters must be true so that the motion of the object is on a circle?

Answers

Answer 1

Answer:

Aₓ = A_y = A

          wₓ = w_y = w

          Фₓ = Ф_y = Ф

Explanation:

For a movement to be circular it must meet the exception of the circle

          R² = x² + y²

in the exercise indicate the expressions of the movement in the two axes

        x (t) = Aₓ cos (wₓ t + Фₓ)

        y (t) = A_y cos (w_y t + Ф_y)

we substitute

         R² = Aₓ² cos²  (wₓ t + Фₓ) + A_y² sin²  w_y t + Ф_y)

         

for this expression to be a circle it must meet

          Aₓ = A_y = A

          wₓ = w_y = w

          Фₓ = Ф_y = Ф

with these expressions

           R² = A² [cos² (w t + Ф) + sin² (wₓ t + Фₓ) ]

use the trigonometry relationship

          cos² θ + sin² θ = 1

           

          R² = A²

Therefore, it is fulfilled that it is a circle whose radius is equal to the amplitude of the movement


Related Questions

How are longitudinal and transverse waves alike? How are they different?

Answers

Answer:

Longitudinal and transverse waves have many similarities and differences.

Explanation:

Similarities:

Mechanical waves can be transverse and longitudinal waves.

Transverse and longitudinal waves both have wavelengths and frequencies.

They both have amplitudes

Both waves can travel through a medium or not, but it depends on whether is an electromagnetic or a mechanical wave.

Differences:

Electromagnetic waves can only be transverse.

The particles of the medium in a longitudinal wave move parallel to the direction (motion) of a wave. It is in this back and forth motion.

The particles of the medium in a transverse wave move perpendicular to the direction (motion) of a wave. This means that there would be right angles showing that they are perpendicular.

Longitudinal waves have rarefactions and compressions.

These rarefactions and compressions are used to measure the wavelength of a wave. For instance, a wavelength in a longitudinal wave is measured from rarefaction to rarefaction

Transverse waves have troughs and crests.

Amplitude in a transverse wave is measured from the midline to the crest of trough.

Amplitude in a longitudinal wave is measured based on how closely packed the particles of the medium are

I hope this helps

Answer:

Longitudinal and transverse waves are mechanical waves, so both carry energy through particles of matter. Longitudinal waves transfer energy parallel to the direction of wave motion, and transverse waves transfer energy perpendicular to the direction of wave motion.

Explanation:

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1 gram of radium is reduced by 3.1 mg in 5 years by alpha decay.
Calculate the half-life of radium.

Answers

Answer:

1 gm = 1000 mg

N = No e^-y t       where y = lambda the decay constant

N / N0 = .9969

ln .9969 = - y t

-.00310 = - 5 y

y = .00310 / 5 = .000621

So the half-life = .693 / y

T^1/2 = .693 / .000621 = 1116 or about 1120 yrs

*please help fast**15 points*

How is laser light different from the light produced by a flashlight?

A. The crests of laser light waves align with one another.
B. Lasers produce multiple wavelengths of light.
C. Lasers produce light that is incoherent
D. Flashlights use reflecting mirrors and lasers do not.

Answers

Answer:

B.

Explanation:

Laser light is different from normal light in other ways as well. First, its light contains only one wavelength (one specific color). ... Whereas a laser generates a very tight beam, a flashlight produces light that is diffuse. Because laser light is coherent, it stays focused for vast distances, even to the moon and back




1.Mention two uses of the concave mirror.
1.Discuss the theory of the two methods of determining focal length (f).​

Answers

Answer:

1. telescope

2.

[tex]f = \frac{r}{2} [/tex]

[tex]f = \frac{r}{2} [/tex]f- focal length

[tex]f = \frac{r}{2} [/tex]f- focal length r- the radius of curvature of the mirror

[tex] \frac{1}{f} = \frac{1}{p} + \frac{1}{l} [/tex]

p-the distance of the object from the vertex of the mirror

l-the distance of the figure from the vertex of the mirror

What is the impulse required to stop a 4.8 kg mass traveling at 18.9 m/s?
Report your answer to 1 decimal place.

Answers

Answer:

MASS=4.8KG

VELOCITY= 18.9

Put into the formula.

Explanation:

Impulse= Mass* change in velocity, it gives you everything you need to input it into the formula

All of the following are characteristics of a laser diode except

Answers

Answer:

D

Explanation:

Given that all of the following are characteristics of a laser diode except

Solution.

A laser diode emit light of a single colour. That is, it emits a monochromatic light in which the light emitted monochromatically will definitely be coherent. That is, a light with a single wavelength emitted by a wide wavelength.

Also, all diode have positive and negative junction which is known as pn junction.

The incorrect among all the options is option D which is the answer.

what is motion wave? ​

Answers

Wave motion is the transfer of energy and momentum from one point of the medium to another point of the medium without actual transport of matter between two points.The dimensions in which a wave propagates energy, The energy transfer

Answer:

Wave motion is the transfer of energy and momentum from one point of the medium to another point of the medium without actual transport of matter between two pointsxplanation:

Tsunamis are fast-moving waves often generated by underwater earthquakes. In the deep ocean their amplitude is barely noticable, but upon reaching shore, they can rise up to the astonishing height of a six-story building. One tsunami, generated off the Aleutian islands in Alaska, had a wavelength of 668 km and traveled a distance of 3180 km in 4.81 h. (a) What was the speed (in m/s) of the wave

Answers

Answer:

215.5 m/s

Explanation:

Given that:

the wavelength λ = 668 km

distance (d) = 3180 km

time t = 4.81 hr

[tex]a) speed (v) =\dfrac{distance}{time}[/tex]

[tex]speed (v) =\dfrac{3180}{4.1}[/tex]

[tex]speed (v) =775.61 \ km/h[/tex]

[tex]speed (v) =(\dfrac{775.61\times 1000 }{3600}) \ m/s[/tex]

[tex]speed(v) = 215.5 \ m/s[/tex]

The frequency is:

[tex]f = \dfrac{v}{\lambda}[/tex]

[tex]f = \dfrac{215.5 }{668 \times 1000}[/tex]

[tex]f = 3.226 \times 10^{-4} \ Hz[/tex]

c)

The period:

[tex]T = \dfrac{1}{f}[/tex]

[tex]T = \dfrac{1}{3.226 \times 10^{-4}}[/tex]

T = 3099.8 seconds

Look for factors that will help you determine what type of economy exists in Country C. What type of economy does Country C have? developed developing transitioning command

Answers

Answer:

C.) transitioning

Explanation:

Look for factors that will help you determine what type of economy exists in Country C is a transitioning economy.

What is economy transition?

The transition economy or economy in transition is an economy that is changing from centrally planned to free market. These submit to Liberalism, where market forces are prices, rather than a centrally planned organization.

For these reasons we can say that the economy of country C is a transition economy.

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a piece of clay with mass m is traveling with an unknown velocity in the positive x-direction, when it collides and sticks to a block of mass 3m, moving with velocity v=-3m/s. after the collision, the block and clay are stuck together and traveling with a velocity of 1 m/s in the negative x-direction. what was the original velocity of the clay mass?

Answers

Answer:

13 m in the + x direction.

Explanation:

Givens

m1 = m

m2 = 3m

v1= ? = x

v2 = - 3 m/s

v3 = v4 = - 1 m/s

Equation

Let x be the speed of the lighter object before collision.

Momentum before collision = momentum after collision

Solution

mx   - 3m * 3m/s = (m1 + m2)*(-1)

m(x - 3*3m/s) = (m + 3m)(-1)

m(x - 9) = - 4m                                      Cancel the ms

x - 9 = 4                                                 Add 9 to both sides

x = 9 + 4

x = 13 m/s

What do all magnets have in common? Select all that apply.

magnetic domains are aligned

magnetic domains are not aligned

movement of protons creates a magnetic field

all magnets have opposite poles ( a North pole and South pole)

movement of electrons creates a magnetic field

moving electrons generate magnetic fields

Answers

Answer:

all magnets have opposite poles (north and south)

magnetic domains are aligned

moving electrons generate a magnetic filed

movement of electrons creates a magnets field

PLEASE ILL GIVE BRAINLIST Which term describes the high point of a transverse wave?
O A. Crest
O B. Compression
O C. Rarefaction
O D. Trough

Answers

Answer:

I belive that the answer is the A

Crest describes the high point of a transverse wave. Therefore, the correct option is option A.

Transverse waves are those which oscillate in directions that are opposite to the wave's forward motion. Electromagnetic radiation, seismic waves, or water surface ripples are all examples of transverse waves.

A simple transverse wave can be represented by a sine or cosine curve because any point's amplitude—that are, its distance from the axis—is proportional to the sine (or cosine) associated with that angle. Crest describes the high point of a transverse wave.

Therefore, the correct option is option A.

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what is the main cause of the seasons

Answers

The main cause of the seasons is earths orbit since each time were in a new season the planet is facing the earth a different way which causes winter etc..

equivalent resistance:

What is the equivalent resistance between points P & Q?

(None of the resistors are the same and the wires are without resistors.)​​

Answers

Answer:

equivalent register what is the equivalent resistance between points P and Q no knows registers are the same and the virus faila

I need help please!!!!!!!!!!!

Answers

Answer:

correct answer is rapid city

What are the features of nanotechnology? ​

Answers

Answer:

Characteristics of Nanotechnology

Explanation:

Nanotechnology deals with putting things together atom by atom and with structures so small they are invisible to the naked eye. It provides the ability to create materials, devices and systems with fundamentally new functions and properties

g Two identical toy cars are held at rest on top of identical ramps. Car A rolls down the ramp, through a loop and then moves along a horizontal surface. Car B starts from rest at the same height, but it does NOT complete the loop. It is found that Car B has a faster speed at the finish line than Car A. What is the BEST explanation for why

Answers

Answer:

The kinetic energy of Car B is greater than the kinetic energy of Car A at the finish line.

Explanation:

Both objects have the same kinetic energy at the bottom of the ramp since the ramps are identical. Since Car A passes through the loop, it losses kinetic energy before it gets to the horizontal road and thus decreasing its speed. Car B does not go through the loop so its speed as it gets to the horizontal surface is its speed at the bottom of the ramp.

As both cars move on the horizontal surface, their speed decrease further but since Car B starts with a greater speed than Car A on the horizontal surface, it will end with a greater speed than Car A at the finish line.

This is because, the kinetic energy of Car B is greater than the kinetic energy of Car A at the finish line.

Which statement best describes how resources are distributed? ​

Answers

according to it's nature

The definition that best describes invention is:
Your answer:
Invention is the first product produced on an assembly line
Invention is having a desired goal to achieve something
Invention is changing the size of an existing product
Invention is a process of turning ideas into devices or systems

Answers

Answer: Invention is a process of turning ideas into devices or systems.

Explanation:

Invention is a process of turning ideas into devices or system. Invention, simply has to do with bringing of ideas together so as to create something unique.

It should be noted that without creativity, invention can't take place. Examples of invention include the light bulb, fans etc. They are products that were designed based on the ideas that someone had Wich was turned into a device.

The volume of the vessel is reduced twice,and the number of molecules is reduced three times.How the pressure will change gas?​

Answers

Answer:

     P₁ = ⅔ P₀

Explanation:

For this exercise we can use the ideal gas equation

         PV = n R T

let's write the equation for the initial point, where we will use the subscript o and the end with subscript 2

         

Suppose the temperature does not change in the process

        P₀V₀ / n₀ = P₁V₁ / n₁

They tell us that

      V₁ = V₀ / 2

       n₁ = n₀ / 3

 

we substitute

     [tex]P_o \frac{V_o}{n_o} = P_1 \frac{V_o}{2} \frac{3}{n_o}[/tex]  

        P₀ = [tex]\frac{3}{2}[/tex]     P₁  

        P₁ = ⅔ P₀

What are supernovae?
A. stars that have reached the end of their lifetimes because their nuclear fuel is exhausted
B. stars that suddenly brighten by 100 to 10,000 times in a day
с. stars that have just been born
D. galaxles that have binary systems

Answers

Answer:

A

Explanation:

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Answer:

A. Stars that have reached the end of their lifetimes because their nuclear fuel

Explanation:

plato

Fossil fuels can be replaced.
Yet, they are considered
nonrenewable. Why?
A. Fossil fuels only take a few years to
replenish.
& Dirt
al
B. Fossil fuels take millions of years to
replenish.
C. Fossil fuels can never be replenished.
Silt

Answers

b. fossil fuels take millions of years to replenish.
b: Fossil fuels take millions of years to replenish

PlZ help

Why is it advantageous for a boxer to ride with the punch? Why should he avoid moving
into an oncoming punch?

Answers

“When a boxer recognizes that he will be hit in the head by his opponent, the boxer often relaxes his neck and allows his head to move backwards upon impact. In the boxing world, this is known as riding the punch. A boxer rides the punch in order to extend the time of impact of the glove with their head.” that answers the first question. For the second one, if the boxer moves into the oncoming punch, they’ll be hit.

If the force of gravity changes what will happen and what would cause it to change?

Answers

we will fall to pluto.

a force acting on a body of mass 24 kg produces an acceleration of 12ms ^-2 . what acceleration will the same force produce in a body of 10 kg


please give answers if they are right and you know how to do it​

Answers

Answer:  a = 28,8

Explanation:

[tex]F = ma[/tex]

m = 24 , a = 12

[tex]F=ma\\\\F = 24 x12\\\\F=288[/tex]

Same force :

m = 10

a = ?

F = 288

[tex]F = ma \\\\288 = 10xa \\\\28,8=a[/tex]

What is Compression?​

Answers

Answer:

Compression, decrease in volume of any object or substance resulting from applied stress. Compression may be undergone by solids, liquids, and gases and by living systems.

Explanation:

| Britannicahttps://www.britannica.com

PLEASE PLEASE HELP!! Do ultraviolet light or microwaves have a higher frequency?

Answers

Answer:The different types of radiation are defined by the the amount of energy found in the photons. Radio waves have photons with low energies, microwave photons have a little more energy than radio waves, infrared photons have still more, then visible, ultraviolet, X-rays, and, the most energetic of all, gamma-rays.

Explanation:

A 4 kg particle moves at a constant speed of 2.5 m/s around acircle of radius 2 m. What is its angular momentum about the center of the circle? Answerin units of kg · m2/s. What is its moment of inertia about an axis through the center ofthe circle and perpendicular to the plane of the motion? Answer inunits of kg · m2. What is t

Answers

Explanation:

Given that,

Mass of the particle, m = 4 kg

Speed of the particle, v = 2.5 m/s

The radius of the circle, r = 2 m

We need to find the angular momentum about the center of the circle. The formula for the angular momentum is given by :

[tex]L=mvr[/tex]

Substitute all the values,

[tex]L=4\times 2.5\times 2\\\\L=20\ kg{\cdot}m^2s[/tex]

So, the angular momentum of the particle is 20 kg-m² s.

Why can’t human males be carriers for sex linked (x-linked) disorders?

Answers

Answer:

This is because the X chromosome is large and contains many more genes than the smaller Y chromosome. In a sex-linked disease, it is usually males who are affected because they have a single copy of X chromosome that carries the mutation.

Explanation:

What is the energy of an electromagnetic wave that has a frequency of 5.0 * 10^5 Hz? Use the equation E=hf, where h=6.626 * 10^-34 J*s.

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Answers

Answer:

3.3*10^-28j

Explanation:

A P E X

The energy of an electromagnetic wave that has a frequency of 5.0 * 10^5 Hz is 3.3 * 10 ^ -28 J

What is Electromagnetic waves ?

Electromagnetic waves are the waves that are created as a result of vibration between an electric field and  a magnetic field . They are composed of oscillating magnetic and electric field

Energy of Electromagnetic waves can be calculated by

Energy = h * f             where  h = plank's constant = 6.626 * 10^-34 J s.

                                                f = frequency of electromagnetic waves  

given :  h =  6.626 * 10^-34 J s.

            frequency =  5.0 * 10^5 Hz  

Energy  of  electromagnetic waves = (6.626 * 10^-34 J s)  *( 5.0 * 10^5 Hz)

                        = 33.13 * 10 ^ -29 J

                        = 3.3 * 10 ^ -28 J

correct answer is c)3.3 * 10 ^ -28 J

Learn more about electromagnetic waves  

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