A 6.9-kg wheel with geometric radius m has radius of gyration computed about its mass center given by m. A massless bar at angle is pin-connected to its center and subjected to force N. If the wheel rolls without slipping on the flat stationary ground surface, find its angular acceleration . Consider counterclockwise to be positive when reporting your answer.

Answers

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is  [tex]\alpha =2.538 \ rad/s^2[/tex]

Explanation:

From the question we are told that

  The mass of the wheel is  m =  6.9  kg

   The radius is  [tex]r = 0.69 \ m[/tex]

    The radius of gyration is  [tex]k_G = 0.4\ m[/tex]

    The angle is  [tex]\theta = 47^o[/tex]

    The force which the massless bar is subjected to [tex]F = 22.5 \ N[/tex]

Generally given that the wheels rolls without slipping on the flat stationary ground surface, it implies that  point A is the  center of rotation.

  Generally the moment of  inertia about A is mathematically represented as

     [tex]I_a = I_G + M* r^2[/tex]

Here [tex]I_G[/tex] is the moment of inertia about G with respect to the radius of gyration  which is mathematically represented as

    [tex]I_G = M * k_G[/tex]

=>[tex]I_a = k_G* M + M* r^2[/tex]

=>[tex]I_a =0.4 * 6.9 + 6.9 * 0.69^2[/tex]

=>[tex]I_a =6.045 \ kg \cdot m^2[/tex]

Generally the torque experienced by the wheel  is mathematically represented as

       [tex]\tau = F * cos (47)[/tex]

=>     [tex]\tau = 22.5 * cos (47)[/tex]

=>     [tex]\tau = 15.34 \ kg \cdot m^2 \cdot s^{-2}[/tex]

Generally this torque is also mathematically represented as

     [tex]\tau = I_a * \alpha[/tex]

=>   [tex]15.34 = 6.045 * \alpha[/tex]

=>   [tex]\alpha =2.538 \ rad/s^2[/tex]

A 6.9-kg Wheel With Geometric Radius M Has Radius Of Gyration Computed About Its Mass Center Given By

Related Questions

Optical astronomers need a clear, dark sky to collect good data. Explain why radio astronomers have no problem observing in the UK where it is often very cloudy.

Answers

Answer:

In the clarification portion elsewhere here, the definition of the concern is mentioned.

Explanation:

So like optical telescopes capture light waves, introduce it to concentrate, enhance it, as well as make it usable through different instruments via study, so radio telescopes accumulate weak signal light waves, introduce that one to focus, enhance it, as well as make this information available during research. To research naturally produced radio illumination from stars, galaxies, dark matter, as well as other natural phenomena, we utilize telescopes.

Optical telescopes detect space-borne visible light. There are some drawbacks of optical telescopes mostly on the surface:

Mostly at night would they have been seen. Unless the weather gets cloudy, bad, or gloomy, they shouldn't be seen.

Although radio telescopes monitor space-coming radio waves. Those other telescopes, when they are already typically very massive as well as costly, have such an improvement surrounded by optical telescopes. They should be included in poor weather and, when they travel through the surrounding air, the radio waves aren't obscured by clouds. Throughout the afternoon and also some at night, radio telescopes are sometimes used.

Some help me on this please


What can be said for certain about the affect of an external net force on
an object? *

A.It changes the object's mass.

B.It changes the object's kinetic energy.

C.It changes the object's temperature.

D.It changes the object's momentum.

Answers

Answer:

Changes in the object's momentum (answer D)

Explanation:

A net force will cause an object to change its velocity, and that will affect the object's momentum, which is defined by the product of the object's mass times its velocity.

So, select the last option (D) in the given list.

A bicycle starts at 2.5m/s and accelerates along a straight path to a speed of 12.5m/s in a time of 4.5 seconds. What is the bicyclist’s acceleration to the nearest tenth of a m/s^2 ?

Answers

Answer:

The bicyclist's acceleration is 2.2m/s^2

Explanation:

Given

[tex]u = 2.5m/s[/tex] ---- Initial Velocity

[tex]v = 12.5m/s[/tex] ---- Final Velocity

[tex]t = 4.5s[/tex] ---- Time

Required

Determine the acceleration

This will be solved using the first equation of motion

[tex]v = u + at[/tex]

Substitute values for v, u and a

[tex]12.5 = 2.5 + a * 4.5[/tex]

[tex]12.5 = 2.5 + 4.5a[/tex]

Collect Like Terms

[tex]4.5a = 12.5 - 2.5[/tex]

[tex]4.5a = 10.0[/tex]

Solve for a

[tex]a = 10.0/4.5[/tex]

[tex]a = 2.2m/s^2[/tex] ---- (approximated)

Hence, the bicyclist's acceleration is 2.2m/s^2

a 90 gram object moves around a circle whose diameter is 2.56 m at a constant speed off 16 m/s. what is the object acceleration? how much time will take to complete the around?

Answers

Answer:

[tex]a=200\ m/s^2[/tex] and t = 0.5 s

Explanation:

Given that,

Mass of the object, m = 90 gram = 0.09 kg

Diameter of the circle, d = 2.56 m

Radius, r = 1.28 m

Speed, v = 16 m/s

We need to find the object acceleration. On the circular path, acceleration is given by :

[tex]a=\dfrac{v^2}{r}\\\\a=\dfrac{(16)^2}{1.28}\\\\a=200\ m/s^2[/tex]

So, the object's acceleration is [tex]200\ m/s^2[/tex].

Let t is time it will take to complete the around. Speed is given by :

[tex]v=\dfrac{2\pi r}{t}\\\\t=\dfrac{2\pi r}{v}\\\\t=\dfrac{2\pi \times 1.28}{16}\\\\t=0.5\ s[/tex]

So, time to cover one complete round is 0.5 s.

1. An object carries a charge of q = +4x10-8C.
How many electrons are needed to make it elec-
trically neutral?​

Answers

Answer: i can help you

Explanation:

[tex]2.5[/tex]×[tex]10^{11}[/tex] electrons are needed to make an object neutral which is carrying a charge of [tex]q=+4[/tex]×[tex]10^{-8}[/tex]

What is a charge of an electron?The elementary charge (e) has a negative sign, and the electron's charge is equal to its magnitude. The charge of the electron is -1.602 x [tex]10^{-19}[/tex] coulombs (C), while the elementary charge is approximately 1.602 x [tex]10^{-19}[/tex] coulombs (C).Thus, -e can be used to represent the charge of an electron. The proton only possesses an e-charge despite being far more massive than the electron. The number of protons and electrons in neutral atoms is constant.The electron was unquestionably discovered by JJ Thomson. He only succeeded in obtaining the electron's charge-to-mass ratio, though, despite all the experiments he conducted on it. Robert Millikan holds the distinction of being the first to quantify the charge on an electron through his oil-drop experiment in 1909.

To learn more about charge, refer to

https://brainly.com/question/18102056

#SPJ2

In a head-on collision, a ball of mass 0.3 kg travelling with velocity 2.8 m/s in the positive x-direction hits a stationary second ball of mass 0.4 kg. What is the velocity of the 0.3 kg ball after the collision? Assume collision is elastic.

Answers

Answer:

The final velocity of the first ball (0.3 kg) is 0.4 m/s in negative x direction.

Explanation:

Given;

mass of the first object, m₁ = 0.3 kg

initial velocity of the first ball, u₁ = 2.8 m/s

mass of the second ball, m₂ = 0.4 kg

initial velocity of the second ball, u₂ = 0

let the final velocity of the first ball, = v₁

let the final velocity of the second ball, = v₂

Apply the principle of conservation of linear momentum;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(0.3 x 2.8) + (0.4 x 0) = 0.3v₁ + 0.4v₂

0.84 = 0.3v₁ + 0.4v₂

2.8 = v₁ + 1.333v₂ -------equation (1)

Apply one-direction velocity;

u₁ + v₁ = u₂ + v₂

2.8 + v₁ = 0 + v₂

v₂ = 2.8 + v₁

substitute the value of v₂ into equation (1)

2.8 = v₁ + 1.333v₂

2.8 = v₁ + 1.333(2.8 + v₁)

2.8 = v₁ + 3.732 + 1.333v₁

2.8 - 3.732 = v₁ + 1.333v₁

-0.932 = 2.333v₁

v₁ = -0.932 / 2.333

v₁ = -0.4 m/s

Therefore, the final velocity of the first ball (0.3 kg) is 0.4 m/s in negative x direction.

What is the magnitude of the torque about his shoulder if he holds his arm straight out to his side, parallel to the floor

Answers

Complete Question

An athlete at the gym holds a 3.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of 4.0 kg. Assume, a bit unrealistically, that the athlete's arm is uniform.

What is the magnitude of the torque about his shoulder if he holds his arm straight out to his side, parallel to the floor? Include the torque due to the steel ball, as well as the torque due to the arm's weight.

Answer:

The torque is  [tex]\tau = 34.3 \ N\cdot m[/tex]

Explanation:

From the question we are told that

   The mass of the steel ball is  [tex]m = 3.0 \ kg[/tex]

    The length of arm is  [tex]l = 70 \ cm = 0.7 \ m[/tex]

    The mass of the arm is [tex]m_a = 4.0 \ kg[/tex]

Given that the arm of the athlete is uniform them the distance from the shoulder to the center of gravity of the arm is mathematically represented as

       [tex]r = \frac{l}{2}[/tex]

=>    [tex]r = \frac{ 0.7}{2}[/tex]  

=>    [tex]r = 0.35 \ m[/tex]  

Generally the magnitude of torque about the athlete shoulder is mathematically represented as

      [tex]\tau = m_a * g * r + m * g * L[/tex]

=>    [tex]\tau = 4 * 9.8 * 0.35 + 3 * 9.8 * 0.70[/tex]

=>    [tex]\tau = 34.3 \ N\cdot m[/tex]

Which statement best describe one of George Berkeley's arguments against materialism?
O A. There cannot be two different substances; my mind exists; therefore, matter does not exist.
OB. To be is to be perceived; we don't perceive matter; therefore, matter does not exist.
OC. I can only perceive my own mind; therefore, matter does not exist.
OD.
I can only perceive other minds; therefore, matter does not exist.
Reset
Next

Answers

Answer:

the answer is B

Explanation:

materialism is just wanting to always buy new things B does the opposite

Other Questions
I WILL MARK! PLS ANSWER THIS. You place 12.0 milliliters of water in a graduated cylinder. Then you add 15.0 grams of metal to the water and the new water level is 13.91 milliliters. What is the density of the metal in grams per milliliter? By changing 3 LETTERS in the word "shadow" form a word that completes the sentence. Can you see a shadow reflected in a ______ please help me !!!! ill give brainly Read this sentence from the essay:First, the plesiosaur is an air breather. Such a creature would need to surface often and, therefore, be seen more frequently.Based on the text, what does the word frequently mean? Giving more and stronger confidence Going from one place to another Happening often or repeatedly Visiting or dropping by briefly Select all of the evidence which would indicate asphyxiationRope or cord around neckFlushed faceBruising around neckCyanosisFluid in lungsPlaque in the hearts arteriesFractureBlack tissue in the heartWhich indicate asphyxiation? Please help me if you can. What caused other city-states to join Sparta in the war against Athens?Other city-states wanted the farmland that Athens controlled.O Smaller city-states were afraid of Sparta and joined against their will.O Athens used money from the Delian League treasury to rebuild Athens.The Spartan navy promised to protect city-states around the Aegean Sea. f(x)=-2x+4what is x when f(x)=-8 Robin is going on vacation with her dogs. The function w(b) = 4b represents the number ofweeks that b bags of dog food last. What is the meaning of the 4 in this context?O Each bag of dog food can feed 4 dogs.O Each bag of dog food costs $4.Each bag of dog food lasts 4 weeks.Robin's vacation lasts 4 weeks. Jessica reads aloud from science website. She comes across the mesurement 0.32 meter. How shouls she read this mesurement aloud? Explain how you know Choose the most appropriate answer to the following question. Te gusta escuchar msica? S, me gustan escuchar msica. S, te gusta escuchar msica. No, no te gusta escuchar msica. No, no me gusta escuchar msica. Which is equivalent to 2.3(-2x + 9.1) + 9(3.4x - 8)?A. 26x - 51.07B. 26x + 92.93C. 35.2x - 51.07D. 35.2x + 92.93 A large pizza pie with 15 slices is shared among 6 students. How many full slices of pizza can each studenthave?A. 4B. 5C. 2D. 1 Lazarillo de Tormes fue escrito en Espaa durante el siglo 16 por un escritor annimo. El libro describe las aventuras de un nio llamado Lazarillo. El siguiente es el captulo uno de este libro.Captulo 1Cuenta Lzaro su vida, y cyo hijo fue.Pues sepa V.M. (Vuestra Merced o Usted) ante todas cosas que a m llaman Lzaro de Tormes, hijo de Tom Gonzlez y de Antona Prez, naturales de Tejares, aldea de Salamanca. Mi nacimiento fue dentro del ro Tormes, por la cual causa tome el sobrenombre, y fue desta (de esta) manera. Mi padre, que Dios perdone, tena cargo de proveer una molienda de una acea, que esta ribera de aquel ro, en la cual fue molinero mas de quince aos; y estando mi madre una noche en la acea, preada de m, tomle (le tom) el parto y parime (me pari) all: de manera que con verdad puedo decir nacido en el ro.Pues siendo yo nio de ocho aos, achacaron a mi padre ciertas sangras mal hechas en los costales de los que all a moler venan, por lo que fue preso, y confes y no neg y padeci persecucin por justicia. Espero en Dios que est en la Gloria, pues el Evangelio los llama bienaventurados. En este tiempo se hizo cierta armada contra moros, entre los cuales fue mi padre, que a la sazn estaba desterrado por el desastre ya dicho, con cargo de acemilero de un caballero que all fue, y con su seor, como leal criado, feneci su vida.Segn la corta introduccin que has ledo, por qu se llama Lzaro de Tormes?Your response should be in Spanish and at least 1-2 minutes long. You will be graded on (a) appropriate use of grammar and vocabulary, (b) completeness of the response (Did you answer all the questions?), and (c) overall quality of the response. The fossil record indicates that the earliest hominids most likely originated on which continent? Africa Asia North America Europe What quote from the passage best illustrates an example of how teens are impacted by the power of likes? I need help the answers that are there are SSSSASASAAASHL and Not enough information Define tariff Define quota Define embargo What are the "certain matters" that Jefferson is referring to in this quote? a. printing newspaper editorials in favor of the French Revolution b. printing bonds c. printing more money d. printing criticism of the government Some help me on this please What can be said for certain about the affect of an external net force onan object? *A.It changes the object's mass.B.It changes the object's kinetic energy.C.It changes the object's temperature.D.It changes the object's momentum.