A 117 kg horizontal platform is a uniform disk of radius 1.61 m and can rotate about the vertical axis through its center. A 62.5 kg person stands on the platform at a distance of 1.05 m from the center, and a 28.3 kg dog sits on the platform near the person 1.43 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.

Answers

Answer 1

Answer:

I_syst = 278.41477 kg.m²

Explanation:

Mass of platform; m1 = 117 kg

Radius; r = 1.61 m

Moment of inertia here is;

I1 = m1•r²/2

I1 = 117 × 1.61²/2

I1 = 151.63785 kg.m²

Mass of person; m2 = 62.5 kg

Distance of person from centre; r = 1.05 m

Moment of inertia here is;

I2 = m2•r²

I2 = 62.5 × 1.05²

I2 = 68.90625 kg.m²

Mass of dog; m3 = 28.3 kg

Distance of Dog from centre; r = 1.43 m

I3 = 28.3 × 1.43²

I3 = 57.87067 kg.m²

Thus,moment of inertia of the system;

I_syst = I1 + I2 + I3

I_syst = 151.63785 + 68.90625 + 57.87067

I_syst = 278.41477 kg.m²


Related Questions

A convex mirror of radius of curvature 1.6 m has an object placed at a distance of 1.0 m from it. Find the position of image and the magnification.​

Answers

Answer:

The image is formed at 0.44 m in front of the mirror

magnification (M) = 0.44

Explanation:

Applying, mirror formular

1/f = (1/u)+(1/v).................... Equation 1

Where f = Focal length of the convex mirror, u = object distance, v = image distance.

Using the real is positive convection,

From the question,

Given: f = -1.6/2 = -0.8 m( The focal length of a convex mirror is vitual), u = 1.0 m

Substitute these values into equation 1

-1/0.8 = (1/v)+(1/1)

Solve for v

1/v = 1.25+1

1/v = 2.25

v = 1/2.25

v = 0.44 m

Hence the image is formed at 0.44 m in front of the mirror

Magnification (M) = v/u

m = 0.44/1

m = 0.44

Solve this question for 5 points

Answers

Answer:

M_b = 2M_a

Explanation:

From gravity equation, we know that;

g = GM/R²

Where;

g is acceleration due to gravity

G is the gravitational constant

M is mass

Thus, making mass(M) the subject, we have;

M = gR²/G

Since we want to find the mass of B so that value of g on B is half that of its value on A.

Thus;

> g_b = ½g_a

> g_b/g_a = ½

Also, we are told that;

> R_a = ½R_b

> R_b/R_a = 2

If M_a = g_a•R_a²/G

And M_b = g_b•R_b²/G

Thus;

M_b/M_a = (g_b•R_b²/G)/(g_a•R_a²/G)

G will cancel out to give;

M_b/M_a = (g_b•R_b²)/(g_a•R_a²)

Rearranging for ease of simplification, we have;

M_b/M_a = (g_b/g_a) × (R_b/R_a)²

Plugging in the relevant ratios gives;

M_b/M_a = ½ × 2²

M_b/M_a = 2

M_b = 2M_a

need help on these 2 an explanation of what formula’s to use would also be appreciated

Answers

Answer:

17. .343 seconds: 18.a .357: 18.b 64.5N

Explanation:

17. Since there is no friction, we can apply Newton's equation:

[tex]f=ma[/tex][tex]85N=5kg*a[/tex][tex]17 m/s^2=a[/tex]

We can then use the kinematic equation:

[tex]d=v_{i} *t+\frac{1}{2} at^2[/tex][tex]25N=U_{k} *70N[/tex][tex]1m=0+\frac{1}{2}*17m/s^2*t^2[/tex]

Solve for t:

[tex]{\frac{1}{8.5}s^2} =t^2[/tex][tex]\sqrt{\frac{1}{8.5} }=t=.343 seconds[/tex]

18.a We can use the friction formula:

[tex]F_{k} =U_{k} *F_{N}[/tex][tex]25N=U_{k} *70N[/tex]

Solving for kinetic friction of block mass 7kg:

[tex].357=U_{k}[/tex]

18.b We should add all forces that will counteract the rightward acceleration.

[tex]F_{a} =F_{x} -F_{N}[/tex][tex]Fr_{7kg} =25N : Fr_{2.5kg} =15.75N[/tex]

Use Newton's equation:

[tex]F=ma[/tex][tex]F_{a} =9.5kg*2.5m/s^2[/tex][tex]F_{a} =23.75N[/tex]

Solve for [tex]F_{x}[/tex]

[tex]F_{a} +F_{fr} =F_{x}[/tex]

[tex]23.75N+40.75N=F_{x} =64.5N[/tex]

females have two of wich reprodutive structure​

Answers

Answer:

ovaries

Explanation:

they have two ovaries one on either side of the uterus.

I hope this helps

Một xe đang di chuyển với tốc độ 36km/h thì gia tốc và sau 2s xe lên tới tốc độ 54km/h. Tính gia tốc của xe trong 2s ?

Answers

Answer:

which language is these

Explanation:

we only use english , Hindi ,tamil , bengali and Malayalam

please tell us that it is which language. From that we will slove this

Answer:

a = vf-vi / t

a = (54 km / h-36 km / h) / 2

a = 18/2

a = 9ms⁻²

ANSWER ASAP
What causes magnetic domains

A. Magnetic fields of atoms aligning

B. Electricity moving through iron

C. Iron being placed near a magnet

D. Magnetic poles magnets attracting each other

Answers

The answer to this would inFact be A

Cuando una persona sube y baja una escalera, Cuanto vale su desplazamiento y cual es la medida de su trayectoria.

Answers

Answer:

Primero, definimos el desplazamiento como la distancia entre la posición final y la posición inicial.

Así, si comenzamos abajo, luego subimos la escalera, y luego bajamos, la posición final y la posición inicial serán la misma

por lo que el desplazamiento es igual a cero.

La medida recorrida es el espacio total recorrido.

Es decir, si entre el principio y el final de la escalera hay una distancia D.

La persona que sube y baja, recorre esta distancia dos veces.

Entonces cuando una persona sube y baja la escalera, la medida de su trayectoria será 2*D.

Why is energy an essential part of human life??

Answers

because all humans needs energy for human activities

The diagram shows the electric field lines surrounding two positive point charges. If the charge on the right were replaced with a negative charge, which of these would need to change to make a correct representation of the electric fields? (Choose all that apply)
A. Field Lines would full in between the two charges (instead of leaving a blank area at point D
B. The field lines around both charges would change direction.
C. The field lines would get closer together
D. The arrows on the field lines surrounding the negative charge would need to point toward instead of away from the charge.

Answers

Answer:

Explanation:

The wording on some of these choices is very strange; I'm not sure exactly what they are stating. First of all, A. is definitely a choice because if both the charges were opposite, they would be attracted to one another as opposed to be repelled away from one another, as they are when they are both positive. What happens is that the charges go OUT from the positive charge and INTO the negative; so as far as the field lines around both charges would change direction...no; only the direction of the field lines would change on the positive charge (which is the one on the left). In that space where D is filled in by the field lines going OUT of the positive charge and INTO the negative one, the lines there are naturally closer together, and that is the point where the charge is the greatest. So if that is what is meant by the field lines getting closer together, then yes, they do. As far as choice D. again the field lines on the negative charge don't change, only the ones on the positive charge change.

The arrows on the field lines surrounding the negative charge would need to point toward instead of away from the charge.

These pattern of lines, sometimes referred to as electric field lines, point in the direction that a positive test charge would accelerate if placed upon the line. As such, the lines are directed away from positively charged source charges and toward negatively charged source charges.

What is negative charge ?

“ When an object has more electrons than protons then the object is said to be negatively charged.”

What is positive charge ?

“When an object has more protons than electrons, the object is said to be positively charged.”

Know more about field lines here

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please tell its urgent​

Answers

Answer:

1) 4,422 meters.

2) 14.01 meters.

Explanation:

A round in a circular track means a complete rotation around its perimeter.

So, if the circular track is 44 meters long, 100.5 rounds around it means that the object did travel the 44 meters 100.5 times.

a) The total distance traveled by the object is:

44m*100.5 = 4,422 meters.

b) The displacement is defined as the distance between the final position and the initial position.

Notice that if you do a complete round, you end in the same position that you started.

So if you do 100 rounds, you end in the same position that you started.

If you do 100.5 rounds, we can think this as:

100 rounds + 0.5 round

So you pass for the starting point 100 times, and then you do half a round, this means that you end in the exact opposite part of the circle of the one where you started.

Then the displacement, the distance between the final position and the initial position, is equal to the diameter of the circle.

We know that the perimeter of the circle is 44m

And remember that the perimeter of a circle of diameter D is:

P = 3.14*D

Then the diameter if this circle is given by:

44m = 3.14*D

44m/3.14 = D = 14.01m

The displacement is 14.01m

Find the magnetic force experienced by a proton moving with the speed of 4x10^5 m/s in the magnetic field B of magnetic 7x10^-5 T.

A- Fmagnetic = 24.8x10^-19 N

B- Fmagnetic = 34.8x10^-19 N

C- Fmagnetic = 44.8x10^-19 N

D- Fmagnetic = 54.8x10^-19 N

Answers

Answer:

F = q v B    where B is the component  of the field perpendicular to v.

F = 1.6E-19 * 4E5 * 7E-5 = 4.48* 10^-18  N = 44.8 * E-19 N

What was the initial speed of a car if its speed is 40 m/s after 5 seconds of accelerating at 4 m/s2? A. 10 m/s B. 60 m/s C. 25 m/s D. 20 m/s

Answers

Answer:

Vi = 20 m/s

Explanation:

Explained in the picture below

Please help me with this..show all the steps also...

Answers

Given,

initial velocity, u = 10m/s

acceleration, a = -8m/s²

time, t = 2s

[tex]we \: know \: that \\ s = ut + \frac{1}{2}a {t}^{2} \\ = > s = (10m {s}^{ - 1} \times 2s) + ( \frac{1}{2} \times (- 8m {s}^{ - 2}) \times {(2s)}^{2}) \\ = >s = 10m + (- 8m) \\ = > s = 2m[/tex]

This is the answer.

Hope it helps!!

what do you mean by motion in one direction.​

Answers

Answer:

When a body moves along an imaginary straight line towards a single direction, its motion is said to be in one direction. This means that the body moves in a single direction for all the time.

Answer:

When a body moves along an imaginary straight line towards a single direction, it's motion is said to be in one direction . This means that the body moves in a single direction for all the time.

slader A jet is circling an airport control tower at a distance of 15.9 km. An observer in the tower watches the jet cross in front of the moon. As seen from the tower, the moon subtends an angle of 8.74x10-3 radians. Find the distance traveled (in meters) by the jet as the observer watches the nose of the jet cross from one side of the moon to the other.

Answers

Answer:

y = 138.96 m

Explanation:

The angle subtended by the moon is the mean of the angle of the arc between the two most extreme points of the moon, we can see that the angle is very small, so we can approximate this arc to a straight line and then use the trigonometric relationships

         sin θ = y / L

where L = 15.9 10³ m and θ = 8.74 10⁻³ rad

          y = L sin θ

          y = 15.9 10³ sin (8.74 10⁻³)

         y = 15.9 10³    0.0087399

         y = 138.96 m

The _____ variable is the factor that is changed or manipulated; the dependent variable is the factor that depends on the independent variable.

control

independent

hypothesis

theory

Answers

Independent variable

Independent variable

The independent variable is a variable whose value is independent of the value of another variable. The dependent variable is a variable whose value is determined by the value of another variable.The independent variable is the factor that is changed or manipulated; the dependent variable is the factor that depends on the independent variable.

For more information:

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Una carga positiva de 4 x 10-5 C, se encuentra a 0.05 m de otra carga positiva de 2 x 10-5 C. Calcular la fuerza que se ejerce entre las dos cargas

Answers

Answer:

La fuerza que se ejerce entre las dos cargas es 2880 N.

Explanation:

La ley de Coulomb indica que los cuerpos cargados sufren una fuerza atractiva o repulsiva al acercarse. La fuerza es atractiva si las cargas son del signo opuesto y repulsión si son del mismo signo. El valor de la fuerza es proporcional al producto del valor de sus cargas e inversamente proporcional al cuadrado de la distancia que los separa. Esto se expresa matemáticamente como:

[tex]F=k*\frac{Q*q}{r^{2} }[/tex]

donde:

F es la fuerza eléctrica de atracción o repulsión. Se mide en Newtons (N). Q y q son los valores de las dos cargas puntuales. Se miden en culombios (C). r es el valor de la distancia que los separa. Se mide en metros (m). k es una constante de proporcionalidad llamada constante de la ley de Coulomb.

En este caso:

F= ?Q= 4*10⁻⁵ Cq= 2*10⁻⁵ Cr= 0.05 mk= 9*10⁹ [tex]\frac{N*m^{2} }{C^{2} }[/tex]

Reemplazando:

[tex]F=9*10^{9} \frac{N*m^{2} }{C^{2} }*\frac{4*10^{-5} C*2*10^{-5}C }{(0.05 m)^{2} }[/tex]

F= 2880 N

La fuerza que se ejerce entre las dos cargas es 2880 N.

Which practice is an unsustainable way of managing resources?
Please help

Answers

Answer:

I would say it is recycling nonrenewable minerals instead of throwing them away.

Explanation:

using grocery bags only once before disposing them is also bad, but plastic is not really a resource compared to how minerals are resources.

if we recycle nonrenewable resources instead of throwing them away we would damage true resources.

Calculate the wave number for the infrared absorption of D35Cl when there is a transition from v=0 to v=1 (Unit: cm^-1, 4-digit accuracy). Use k=4.808 x 10^2 N/m for your calculations. Please refer to Math Reference.

Answers

Answer:

wave number = 0.3348 * 10⁻⁸ cm⁻¹

Explanation:

Given data:

K = 4.808 * 10^2 N/m

Determine the wave number for the infrared absorption

considering vibrational Spectre

k' =  2n / λ ---- ( 1 )

λ = c / v ----- ( 2 )

v = √k / u  --- ( 3 )

where : k' = wave number, λ = wavelength, c = velocity of light, v = frequency,  k = force constant, u = reduced mass

u = 1.90415 for  D35Cl

Input equations 2 and 3 into equation 1 to get the final equation

K' = 2n/c * √k / u

   = ( 2 * 3.14 ) / 2.98 * 10^8  ] * (√ 4.808 * 10^2 / 1.90415 )

   = 33.486 * 10⁻⁸ m⁻¹  ≈ 0.3348 * 10⁻⁸ cm⁻¹

why does the green colour of iron (ii) chloride change to yellow when chlorine gas is bubbled into it

Answers

Answer:

FeCl2 has a high melting point.

Explanation:

Iron is seen to get oxidized by addition of chlorine 3 as the product is rust colored and on dissolving in water has a yellow orange color. This is characterized by the aquatic iron and is due to the monohydroxy

Which model of the universe is the most widely accepted, and what does it
predict?
A. A flat universe, in which the universe stops expanding but does
not contract
B. A closed universe, in which the universe never stops expanding
C. A closed universe, in which the universe stops expanding but does
not contract
D. An open universe, in which the universe never stops expanding

Answers

I think it would be D.

Answer:

D An open universe, in which the universe never stops spending

Explanation:

A P E X

length of your pencil is 6 cm. what does it mean?​

Answers

Answer:

It simply means that, the pencil is long enough to attain a length of six (6) centimeters when measured with a measuring tool such as a ruler, tape, etc.

Explanation:

A scientific method can be defined as a research method that typically involves the use of experimental and mathematical techniques which comprises of a series of steps such as systematic observation, measurement, and analysis to formulate, test and modify a hypothesis.

Measurements refers to a process which typically involves identifying and determining the dimensions of a physical object. The dimensions include important parameters such as width, height, length, area, volume, circumference etc.

Hence, a pencil whose length is measured as 6 centimeters has a physical dimension that covers a distance of six (6) centimeters in terms of size.

In conclusion, the pencil would cover a length of six (6) centimeters when measured vertically and a corresponding height of six (6) centimeters when measured horizontally.

which best esplains how the body maintains homeostasis​

Answers

Explanation:

Through the various systems in the body for example the excretory system helps maintain homeostasis by filtering waste from blood, gets rid of waste and regulates fluid levels in the body.The respiratory system helps by giving the blood stream the oxygen it needs..

I hope this helps

The answer is the first option "all systems work together to stabilize the body." Homeostasis is the internal conditions that all living things have basically meaning how the body keeps cool during hot weather, or warm during cold weather.

What is the maximum number electrons that can occupy any d orbital?

Answers

Answer:

Only ten electrons

Explanation:

[tex]{ \tt{nd {}^{10} }}[/tex]

Mike lives in the northern United States minnesota and nick lives in the southern United States Louisiana. When they both feel insulted by the same individual, nick will be more

Answers

Complete question is;

Mike lives in the northern United States (in Minnesota) and Nick lives in the southern United States (Louisiana). When they both feel insulted by the same individual, Nick will be more likely to have a(n) ________ cortisol response and show ________ levels of physical aggression.

Answer:

- A hyper cortisol response

- higher levels of physical aggression

Explanation:

In study of hormones in the human body, it has been discovered that cortisol is a stress inducing hormone. Now, if they are in the summer when it is hot, it has been proven that's when the cortisol hormone circulates in a very large manner in the blood. This leads to frustration and as well possibly physical aggression.

Nick will be more likely to have a(n) hyper cortisol response and show higher levels of physical aggression.

What is cortisol?

Cortisol has been identified as a stress-inducing hormone in studies of hormones in the human body.

Mike lives in the northern United States (in Minnesota) and Nick lives in the southern United States (Louisiana).

When they both feel insulted by the same individual, Nick will be more likely to have a(n) hyper cortisol response and show higher levels of physical aggression.

Cushing syndrome is a condition characterized by elevated cortisol levels. This disorder is caused by your body producing too much cortisol.

Similar symptoms can occur after large doses of corticosteroids, thus this should be cleared out before testing for crushing syndrome.

Cortisol has been identified as a stress-inducing hormone in studies of hormones in the human body. Now, if they are in the summer when it is hot.

It has been proved that the cortisol hormone circulates in the blood in a very significant amount. This causes irritation and, in some cases, physical aggressiveness.

Hence nick will be more likely to have a(n) hyper cortisol response and show higher levels of physical aggression.

To learn more about cortisol refer to the link

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4.Two carts, A and B, sit in front of you. They look identical, and you are told that they are made of the same material. Cart A is at rest on an air track and cart B is given a constant velocity directed to the right toward Cart A on the air track. Cart B collides with cart A elastically. After the elastic collision, both carts move to the right, the velocity of cart B being smaller than what it was before the collision. What can you conclude based on only what you have observed

Answers

Answer:

Cart B loses some of its initial kinetic energy and cart A gains kinetic energy.

Explanation:

Since both cart A and cart B have identical masses, and cart B moves with a smaller velocity after the collision than it was moving with before the collision, and also, the collision is elastic. It implies that the initial kinetic energy of cart B equals the final kinetic energy of cart A and cart B after the collision.

Since the initial kinetic energy of cart B is shared between cart A and cart B and cart B moves with lesser velocity after the collision, it implies that cart B has a smaller kinetic energy than its initial kinetic energy before the collision.

And also, since cart A is initially at rest and moves to the right after the collision, it gains kinetic energy.

Thus, cart A has a higher final kinetic energy after the collision. Also, cart A has a smaller kinetic energy after the collision than the initial kinetic energy of cart B, since it is the difference between cart B's initial and final kinetic energies.

So, from our observation, we conclude that cart B loses some of its kinetic energy and cart A gains kinetic energy.

The Indianapolis speedway consists of a 2.5 mile track having four turns, each 0.25 mile long and banked at 9 12'

Answers

Answer: Your question is missing below is the question

Question : What is the no-friction needed speed (in m/s ) for these turns?

answer:

20.1 m/s

Explanation:

2.5 mile track

number of turns = 4

length of each turn = 0.25 mile

banked at 9 12'

Determine the no-friction needed speed

First step : calculate the value of R

2πR / 4 =  πR / 2

note : πR / 2 = 0.25 mile

∴ R = ( 0.25 * 2 ) / π

      = 0.159 mile ≈ 256 m

Finally no-friction needed speed

tan θ = v^2 / gR

∴ v^2 = gR * tan θ

 v = √9.81 * 256 * tan(9.2°)  = 20.1 m/s

A blackbody radiator was expected to give off energy of increasing frequency
as its temperature increased. Which of the following ideas provided an
important step toward understanding why this was not observed?
A. Light is quantized and must be absorbed as a unit.
B. Electrons can act as both waves and particles.
C. Matter is quantized and cannot be broken down.
D. Large objects can be viewed as acting as waves.

Answers

Answer:

B.

Explanation:

Makes more sense to me

newtons second law lab report link

Answers

Answer:

ghittu iihg उह्स उउह्स उग्य्किव जिक्ह्ब

A spinning satellite begins to unfold two solar panels as shown. As the panels extend from the satellite, what is the result?​

Answers

I do believe that it’s A because when a satellite has the panels folded it moves much faster put when it extends the panels it’s overall speed decreases because of drag

Option A and B are correct.

We have a spinning satellite which begins to unfold two solar panels as shown in the figure.

We have to investigate which of the given statements are true.

What is the relation between the linear velocity (v) and angular velocity (ω) of a body undergoing circular motion in the circle of radius r?

The relation the linear velocity (v) and angular velocity (ω) of a body undergoing circular motion in the circle of radius r is -

v = rω

According to the question - two solar panels unfolded themselves. The key point to understand here is that initially when the panels were folded, each and every individual particle inside the panel were closer to the rotational axis. However, when they unfolded, each and every particle inside the panels went away from the rotational axis. In a general sense, for a individual particle inside the panel, assume that initially the its distance from center was 'r' and after unfolding it became 'R' such that R > r. Therefore, using the formula -

v = rω

ω = [tex]\frac{v}{r}[/tex]

Now, ω [tex]\alpha[/tex] [tex]\frac{1}{r}[/tex] ,

As r increased to R, the angular velocity decreases.

Now, we know that the angular momentum (L) is given by -

L = mvr

As r increases, L increases.

Therefore, the angular momentum increases.

Hence, Option A and B are correct.

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