four particles connected by rigid rods of negligible mass where y1 = 5.70 m. the origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with and angular speed of 5.60 rad/s. a) calculate the moment of inertia of the system about the z axis. b) Calculate the rotational kinetic energy

Answers

Answer 1

The definition of moment of inertia and kinetic energy we can find the results for the questions are:  

          a) The moment of inertia is: I = 32.49 kg m²

          b) The kinetic energy is: K = 509.4 J

a) The moment of inertia is a scalar quantity that has the same function as mass, it is given by

             I = m r²

       

They indicate that the length of the bar is y₁ = 5.70 m, if the two rigid bars form the square that supports the masses, the distance from the center to the end where each mass is:  

            r = y₁ / 2

             r = 5.70 / 2 = 2.85 m

The moment of inertia of the system is.

         I = 4 m r²

Let's calculate.

        I =4 m 2.85²

        I = 32.49m kg m²

If we assume that the mass of each point particle is:

        m = 1 kg

   

         I = 32.49 kg m²

b) They ask for the rotational kinetic energy, if the angular velocity is.

           w = 5.60 rad / s

The kinetic energy for rotational motion is.

         K = ½ I w²

Let's calculate.

          K = ½ 32.49 5.60²

          K = 509.4 J

In conclusion with the definition of moment of inertia and kinetic energy we can find the results for the questions are:

          a) The moment of inertia is: I = 32.49 kg m²

          b) The kinetic energy is: K = 509.4 J

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Related Questions

What is the main tenet of mechanical philosophy

Answers

Answer:362

Explanation:

i just want the points

Answer:

Some ancient philosophies held that the universe is reducible to completely mechanical principles—that is, the motion and collision of matter. This view was closely linked with materialism and reductionism, especially that of the atomists and to a large extent, stoic physics.

Explanation:

Hope this helps.

Which of the following is NOT a way that a U-235 atom could fission?

Answers

Answer: A.

just did it

Explanation:

A 0.750 kg hammer is moving horizontally at 7.00 m/s when it strikes a nail and comes to rest after driving it 1.00 cm into a board. (a) Calculate the duration of the impact in seconds. (Enter a number.) s (b) What was the average force in newtons exerted downward on the nail

Answers

Answer:nh

0.750 kg hammer is moving horizontally at 7.00 m/s when it strikes a nail and comes to rest after driving it 1.00 cm into a board.

Câu 1. Trường hợp nào dưới đây không phải là vật sáng?

A. Chiếc bút chì đặt trên bàn giữa ban ngày.

B. Chiếc bật lửa rơi giữa sân trường lúc trời nắng.

C. Mặt Trời.

Answers

Answer:

A

Explanation:

A. The pencil is on the table in broad daylight

what causes a solid air fresher to lose mass and volume

Answers

Answer:

A solid air freshener loses mass and volume as a result of sublimation, where solid particles skip the liquid state and change directly from a solid to a gas. Sublimation requires that the particles in the solid state gain enough energy to immediately become a gas.

Explanation:

Hope this helps.

Which requires more work, lifting a 20 kg box vertically 2 meters OR lifting a 10 kg box 4 meters? Explain.​

Answers

Answer:

I'm not sure in which direction 10kg is lifted but assuming 10kg is lifted (or dragged) horizontally then

the 20kg vertically requires more work because gravity pushing down on it will require a somewhat large output of Energy.

But if they are both lifted vertically (or horizontally)then they are equal in work.

Hope this helps

Please Help!!! I have no idea :(


1. During an experiment in which you are investigating the acceleration changes due to force changes, what value must stay constant during these trials?

a. Force
b. Velocity
c. Acceleration
d. Mass

2. An animal is walking forward. There is an applied force from the animal of 25 N to the right, a frictional force of 18 N to the left, a force of gravity of 65 N down and the animal is being pushed up by the ground with 65 N. What best describes the motion of the animal?

a. The animal will move to the left due to an unbalanced force on the left
b. The animal will move to the right due to an unbalanced force on the right
c. The animal will move down due to an unbalanced force down
d. The animal will move up due to an unbalanced force upwards

3. Two rockets are being tested. Both rockets have the same mass. One rocket accelerates at a higher rate than another rocket. What could be true about the difference between the rockets?

a. One rocket has more fuel than the other
b. One rocket is more streamlined than the other
c. One rocket engine produces more force than the other
d. One rocket is more badly designed than the other

4. According to Newton's Third Law, if a sledgehammer hits a wall with a force of 1000 N, how much force does the wall hit the sledgehammer?

a. 0 N
b. 500 N
c. 1000 N
d. - 1000 N

Answers

Answer:

1. A. Force

2.

3. B. or C.

4. 1,000 N as well

Explanation:

1. Force is mass multiplied by acceleration. if force and mass stay constant, then according to that equation, the acceleration stays constant as well.

I couldn't figure out what number 2 is though. Sorry.

The value which must stay constant during these trial is:

A. Force

The best description of the motion of the animal is:

B. The animal will move to the right due to an unbalanced force on the right  

The thing which could be true about the difference between the rockets is:

C. One rocket engine produces more force than the other

The amount of force which the wall hits the sledgehammer is:

C. 1000 N

Force is simply defined as the mass of a body which is multiplied by the acceleration and according to the laws of physics, if there is a constant in the mass and force, then the acceleration would also remain constant.

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https://brainly.com/question/24557735

() The two forces F_{1} and F_{2} shown in Fig. 4- 39a and b (looking down) act on a 27.0-kg object on a frictionless tabletop . If F_{1} = 10.2N and F_{2} = 16.0N find the net force on the object and its acceleration for each situation , (a) and (b) .

Answers

It looks like 4.78 inches + 56x

Does bouncing or sticking produce more impulse?

Answers

Answer:

yes

Explanation:

Bouncing is a way to increase impulse. Because an object that bounces changes directions the force of impulse must be absorbed then generated by the target object. (Impulse is nearly doubled.)

How does the mass of the bob affect the number of swings of a pendulum?

Answers

Mass does not affect the pendulum's swing. The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period

1. A small package is dropped from the Golden Gate Bridge. What is the velocity of the package
after it has fallen for 3.0 3?

Answers

The velocity of the package  after it has fallen for 3.0 s is 29.4 m/s

From the question,

A small package is dropped from the Golden Gate Bridge.

This means the initial velocity of the package is 0 m/s.

We are to calculate the velocity of the package  after it has fallen for 3.0 s.

From one of the equations of kinematics for objects falling freely,

We have that,

v = u + gt

Where

v is the final velocity

u is the initial velocity

g is the acceleration due to gravity

and t is time

To calculate the velocity of the package  after it has fallen for 3.0 s

That means, we will determine the value of v, at time t = 3.0 s

The parameters are

u = 0 m/s

g = 9.8 m/s²

t = 3.0 s

Putting these values into the equation

v = u + gt

We get

v = 0 + (9.8×3.0)

v = 0 + 29.4

v = 29.4 m/s

Hence, the velocity of the package  after it has fallen for 3.0 s is 29.4 m/s

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Explain what occurs to satellites when they travel too fast and too slow to keep in orbit​

Answers

If the satellite goes too slow:

It will crash into it's surrounding things it's orbiting.It would not go forward enough due to pull of gravity.Gravity will pull it back to Earth.The satellite could be knocked or moved closer or farther from the object it is orbiting.

If the satellite goes too fast:

It will eventually fly away.It can go forward soo fast.It would go too fastly that gravity can't retain in an orbit.The satellite's inertia would carry it off into space.

Someone help please i need to finish this

Answers

Answer:

4th answer

Explanation:

The gradient of a distance-time graph gives the speed.

gradient = distance / time = speed

Here, the gradient is a constant till 30s. So it has travelled at a constant speed. It means it had not accelarated till 30s. and has stopped moving at 30s.

An instructor gives a demonstration in which he makes a standing wave on a long thin slinky. The slinky is 6.0 meters long. If you see 3 loops on the slinky when the instructor shakes the end of the slinky at a rate of 2.50 cycles per second, then the speed (in m/s) of transverse traveling waves on the slinky is

Answers

The characteristics of standing waves allows to find the result for the speed of the wave is:

The speed wave is:  v = 10 m / s

The wave is a way of transmitting energy without mass displacement, , in the attachment we can see a diagram of the standing wave.

Each cycle corresponds to half a wavelength,  they indicate that the frequency is 2.50 Hz and there are three cycles, so the wavelength is:

      L = [tex]n \frac{\lambda}{2}[/tex]

      λ = 2L/n

      λ = 2 6 /3

       λ = 4 m

Wave speed is related to wavelength and frequency

        v = λ f

         v = 4 2.5

         v = 10 m / s

In conclusion, using the characteristics of standing waves we can find the result for the speed of the wave is:

The wave speed is:   v = 10 m / s

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When people do a bungee jump theyare asked how much they weigh. Why?​

Answers

Answer:

The elasticity of the bungee cord reduces the gravitational forces applied on the body during bungee jumping. For example, if a 100-pound individual jumps from a building and encounters 900 pounds of deceleration force, they will feel 9 "G's" of force.

hopefully this'll help

have a nice day!!! :D

hola buen día por favor alguien me puede ayudar por favor1. Dos cargas puntuales q1=+4μC y q2=+ 6μC están separadas por 10 cm. Una carga


puntual
q3=+2μC se coloca a medio camino entre q1 y q2. Encuentra la magnitud y la dirección de la
fuerza resultante sobre q3. Asuma que q1 está a la izquierda de q3 y q2 a la derecha de q3.
Revisa el ejemplo de la clase del tema 6. Además, recuerda que las fuerzas no siempre actúan
en la misma dirección.

2. Se coloca una carga puntual de 4 μC en un punto P (x = 0.2 m, y = 0.4 m). ¿Cuál es el campo
eléctrico E debido a esta carga en el origen del plano cartesiano? Hint: asume un plano
cartesiano y dibuja el campo eléctrico que se busca. Además, recuerda el teorema de
Pitágoras.

3. Una carga puntual q = 25μC está ubicada en el centro de una esfera de radio R = 25 cm, el
campo eléctrico generado a esta distancia debido a esa carga es E=3.6 x 10^6 N/C. Se quita de
la superficie una sección circular con radio r = 5 cm. Encuentre el flujo eléctrico que pasa por
esta sección. Hint: solo quieres saber el flujo eléctrico sobre el área de la superficie que se
aisló, por lo que es importante recordar cómo se obtiene el área de un círculo.

4. En cierta región al norte del planeta tierra, existe un campo eléctrico uniforme, la dirección
del campo eléctrico es hacía el centro del planeta y según se sabe, tiene un valor de 1000 N/C.
Encuentra el cambio de la energía potencia eléctrica de una partícula que tiene una carga de
-1.6 x10 -19 C. Considera que la partícula se suelta en un punto A y llega hasta un punto B que
está a 50 m del punto A.

5. Dos cargas q1 = −2 μC y q2 = + 2 μC se fijan en sus posiciones y se separan por una distancia d
= 10 cm. ¿Cuál es el potencial eléctrico en el origen debido a estas dos cargas?

Answers

Answer:

vfyugpuvfhvjvfhuvihfiurj

Explanation:

vfehgwfljhgiurnjfkfjhk

A person is driving a car in a roundabout at 20 m/s so that its centripetal acceleration is 5 m/s2 . How much time it takes to complete 1 circle around the roundabout?

Answers

Answer:

Ac = v²/r

where, Ac is centripetal acceleration

v is velocity

r is radius

5 = (20)²/r

r = 400/5

r = 80m

from,

w = 2πf

where, w = angular velocity and f frequency

w = v/r

f = n/T

then,

v = 2πrn ,n = 1 to complete 1 cycle

T

T = 2πr/v

T = 2π*80/20

T = 25.14seconds.

The car would take 25.14s to complete 1 cycle of the roundabout.

if you double the force an object what will hapen to the accelration

Answers

Explanation:

the acceleration will double because force is directly proportional to the acceleration

Câu 20: Chọn câu sai:
A. Công là đại lượng vô hướng B. Công không có tính tương đối
C. Công phụ thuộc vào đường đi D. Công có giá trị đại số

Answers

Answer:

fr

Explanation:

Câu 2: Một xe có khối lượng 20 tấn, chuyển động chậm dần đều dưới tác dụng của một lực 8000 N, vận tốc ban đầu của xe là 20 m/s. Gia tốc của xe là bai nhiêu?.

Answers

Answer:

?

Explanation:

Answer:

Explanation:yy

Am I correct? Plz answer ASAP! I will give brainilest:D (Science)

Answers

Answer:

I would agree with your selection.

Explanation:

A ball is projected with an angle o from the top of a tower of height h with velocity vo. The ball strikes the ground after a certain time t, then show a vo sino 2gh 1 + 1 + vo-sin20 t/​

Answers

Answer:

dvnuncxtumvd7ojf433f and tv36v54f vs Craig

PLZ HURRY ANSWER THIS PLZ
Which statement best describes how Greensburg recovered from the tornado? O A. It doubled its population O B. It secured itself against future tornadoes. C. It became an eco-tourism destination © D. It built a new school and hospital.​

Answers

Answer:

C: it became an eco-tourism destination

Explanation:

Answer: Its C

Explanation:

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
What describes the pressure in a contained fluid?
1: unknown as long as the fluid is contained
2: the same throughout the fluid
3: higher in some places and lower in other places

Answers

Answer:

3) higher in some places nd lower In other places

Explanation:

The pressure in a fluid is given by the law

p = p0 + pgh

where

p0 is the atmospheric pressure

p is the fluid's density

g is the acceleration of gravity

h is the depth at which the pressure is calculated

As we see, the pressure depends on the value of h (depth): therefore, points which are located at more depth experience a larger pressure than points located near the fluid's surface.

Which of the following is correct about the time period of a pendulum, whose length (length of thread) is 2 m and mass of whose bob (metallic ball) is 2 kg, when it is set in motion?

Answers

Answer:

P = 2 * pi * (L / g)^1/2        period of simple pendulum

P = 6.28 * (2 / 9.8)^1/2 = 2.84 sec

Choose the items that are examples of unalienable rights.

A) criticizing the government

B) to live wherever you want to

C) the government requiring safety standards in cars

D) preventing unpopular religions from holding services

E) not having the government listen to your phone calls

I NEED HELP ASAP

Answers

Answer:

the answer is D

Explanation:

bc the goverment cannot stop any religion from its service

The examples of unalienable rights include:

To live wherever you want to.The government requiring safety standards in cars.Not having the government listen to your phone calls.

In the declaration of Independence, the unalienable rights include life, liberty, and the pursuit of happiness.

It should be noted that one can live wherever one wants to. Also, one has the right to religion and should not be disturbed from practicing their religion. The government doesn't have the right to listen to one's phone calls too.

In conclusion, the correct options are A, C, and E.

Read related link on:

https://brainly.com/question/19097433

Find the angle between two equal forces (p) when their resultant is equal to (p)

Answers

Answer:

60°

Explanation:

It will be equilateral triangle, you can prove with the cosine theorem.

1)P^2=P^2+P^2 - 2×P×P× cos A

2) cos A= P^2 / 2× P^2 = 1/2

cos A = 1/2

A = 60°

If you wrote this question right,it will be solved like this :)

Toe toe toe toe toe toe

The image shows mountains in Alaska.



Which describes the main feature of the circled area of these mountains?

A syncline is visible.
An anticline is visible.
These mountains show no evidence of folding.
These mountains likely formed from normal faults

Answers

Answer:

A syncline is visible.

Explanation:

A syncline is visible.

Answer:

These mountains show no evidence of folding.

electromagmetic radiation comes in different forms which pair does not appear next to one an other in the electromagmetic spectrum
A. microwaves, ultraviolet
B. x-rays,ultraviolet
C. visible light,infra-red rays
D. radio waves , microwaves ​

Answers

Answer:

A) microwaves and ultraviolet

Explanation:

this is the spectrum in order:

radio waves

microwaves

infra red

visible light

ultraviolet

X rays

gamma rays

The gas state of water

Answers

Answer:

The gas state of water is water vapour. It is formed by boiling liquid water or from the sublimation of ice (sublimation is the process of converting a solid to a liquid). Hope this helps!

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