a 9-kg uniform disk is attached to the 5-kg slender rod ab by means of frictionless pins at b and c. the assembly rotates in a vertical plane under the combined effect of gravity and of a couple m which is applied to rod ab. at the instant shown, the assembly has an angular velocity of 6 rad/s and an angular acceleration of 26 rad/s2, both counterclockwise.

Answers

Answer 1

The couple M is found out to be 99.4 N-m.

Given that,

Mass of the disk is md = 9 kg

Mass of the rod is m rod = 5 kg

Angular acceleration α = 26 rad/s²

Weight of the rod, Wr = m rod* g = 5* 9.81 = 49.05 N

Weight of the disk, Wd = md* g = 9* 9.81 = 88.29 N

Moment of inertia of the rod is I r = 1/12 * m* L² = 1/12* 5 kg* (500 mm* 10⁻³ m/1 mm)² = 0.1041 kg-m²

Moment of inertia of the disk I d = 1/2 * 9 kg* (200 mm* 10⁻³ m/1 mm)² = 0.18 kg-m²

Acceleration of the rod α r = (250 mm * 10⁻³ m / 1 mm) α = 0.25 α

Acceleration of the disk α d = (500 mm * 10⁻³ m / 1 mm) α = 0.5 α

The external force system is equal to the system of effective forces, therefore the effective moment and the moment about point A will be equal.

M a = (M a)eff

M - W r (0.25 sin 30) - W d (0.5 sin 30) = I r* α - m rod* α r( 0.25) + I d* α + m d* α d* 0.5

M - 0.125* 49.05 - 0.25* 88.29 = 0.1041 * 25 - 5* 6.25* 0.25 + 0.18* 25 + 9*12.5 * 0.5 = 0

M - 6.125 - 22.07 = 2.61 - 7.82+ 4.5 + 56.25

M = 6.125 + 22.07 + 2.61 - 7.82+ 4.5 + 56.25 = 99.4 N-m

Thus, the couple M is 99.4 N-m.

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Related Questions

A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the accumulation of charge near the cathode, the electric potential between the electrodes is not a linear function of the position, even with planar geometry, but is given by V(x) = Cx4/3 where x is the distance from the cathode and C is a constant, characteristic of a particular diode and operating conditions. Assume that the distance between the cathode and anode is 13.6 mm and the potential difference between electrodes is 264 V. (a) Determine the value of C. C = V/m4/3 (b) Obtain a formula for the electric field between the electrodes as a function of x. (Use your result from part (a). Use the following as necessary: x.) Ex = (c) Determine the force on an electron when the electron is halfway between the electrodes. F = N

Answers

(a) The value of C is 12.17 V/mm.

(b) The electric field is 27.04 N/m².

(c) The force is 1.90 x 10⁻¹⁷ N.

How to calculate the force and electric field?

a) To determine the value of C, we first need to calculate x, which is the distance from the cathode to the anode. Using the given distance between the cathode and anode (13.6 mm), we can calculate x as 6.8 mm. We can then use this value of x, along with the given potential difference between the electrodes (264 V), to calculate the value of C using the equation C = V/x4/3:

C = 264 V/6.84/3 = 12.17 V/mm4/3


b) The electric field between the electrodes is given by Ex = -dV/dx. Using the result from part (a) for C and the given distance between the electrodes (13.6 mm), we can obtain a formula for Ex as a function of x:

Ex = -(12.17 V/mm4/3) x (4/3)x-5/3 =27.04 N/m²


c) The force on an electron when the electron is halfway between the electrodes can be calculated using the equation F = qEx, where q is the charge of the electron. Using the result from part (b) for Ex, we can calculate the force on an electron at x = 6.8 mm as:
F = -1.60 x 10⁻¹⁹ C x (-11.9 V/mm1/3)

F = 1.90 x 10⁻¹⁷ N


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What is the difference between a counting loop and an infinite loop?

Answers

REPETITION CYCLES. A repeating structure allows you to execute an instruction or a set of instructions multiple times. A repetitive execution of sentences is characterized by: The sentence or sentences that are repeated. The cycle is one of the most important basic programming structures, as it is present in dissimilar problems. In structured programming there are three types of basic cycles: determined, indeterminate avoidable, and indeterminate unavoidable; On the other hand, visual programming brings with it a revolutionary change in this structure, since the user who controls when the cycle ends is himself, activating an event that signifies the breaking of the cycle.

The amplitude of the electric field component of an electromagnetic wave is doubled. What is the corresponding change in the intensity of the wave?

Answers

If the amplitude is doubled than the intensity will become 4 times of amplitude.

What is meant by intensity?

Intensity is the quality of being very strong, concentrated or difficult or the degree to which something is difficult or strong.

The intensity of a sound wave exists described as the amount of energy transmitted through a unit area per unit time in the direction of travel; it is a vector quantity with both a magnitude and a direction.

The amplitude of the sound waves and how far they have travelled from the sound source.

Intensity is directly proportional to the square of the amplitude .

So, if the amplitude is doubled than the intensity will become 4 times of amplitude.

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a meteroid is in a circular orbit 600 km above the surface of a distant planet. the planet has the same mass as Earth but has a radius that is 90% of Earths (where Earths radius is approximately 6370 km).


The acceleration of the meteroid due to the gravitational force exerted by the planet is most nearly

A) 9 m/s^2 toward the center of the planet

B) 9 m/s^2 in the direction of the meteoroids motion

C) 10 m/s^2 toward the center of the planet

D) 10 m/s^2 in the direction of the meteoroids motion​

Answers

Well, the answer to this question is D) 10 m/s^2 in the direction of the meteoroids motion.
Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.

Answer:

C)  10 m/s^2 toward the center of the planet

Explanation:

g = GM/r^2

The masses of earth and this planet are the same and the radius is only diffferent by 10% so as gravitational force acceleration is 9.8m/s^2 on earth, it can be estimated to be around 10m/s^2.

Using the third law, we know acceleration is toward the larger mass from attraction, thus having it point toward the center of the planet.

If the wave speed stays the same, which of the following decreases as the frequency increases?

Answers

Answer:yes

Explanation:

in eeg brain wafves the unit of amplitude i s

Answers

According to the given statement In EEG brain waves the unit of amplitude is microvolts (mV)/ 10 e-6 V.

How is amplitude measured?

In most cases, amplitude is assessed by looking at a wave graph and determining the elevation of the pulse from rest. The amplitude or power of the wave is gauged by its amplitude. For instance, the height of a sound wave will indicate the volume of the sound.

What are voltage and amplitude?

The peak amount of a current or voltage is its amplitude. One or both of the sharp phases of a sine wave can be used to symbolize it. The peak voltage is another name for this voltage level, which might be positive or negative. Positive and negative solely describe the flow of current.

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raw, marinated or partially cooked fish is made safe by freezing for specified times and temperatures. which of the following time and temperature combination is recommended:

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When frozen at -31°F or lower for 15 hours at specific times and temperatures, raw, marinated, or partially cooked fish becomes safe.

Fish must be frozen to kill parasites that can spread disease whether it is raw, raw-marinated, partially cooked, or marinated and partially cooked. Cold smoking, pickling, or salting do not kill parasites. Separate utensils for each type of food must be offered in order to reduce the possibility of cross-contact and food contamination. To avoid using the same dishes or unclean utensils again for serving, there must be a enough supply of clean plates, cutlery, and serving utensils.

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An object appears red when viewed with white light. What color would it appear when viewed with blue light?

Answers

Answer:

Colour of any object is by the colour of light it reflects i.e if white light is incident on the object,it will reflect blue color.so it will appear blue.But if red light is incident on it,it will not reflect that and absorb it.so as it will not reflect any light it will appear black.

Explanation:

The colour of an object depends upon the light reflected and absorbed, so if you the object appears blue to you that means that the object reflects blue light and absorbs rest of the spectrum. That's why in black colour all light is absorbed and no light is emitted, thus absorbing all the radiation heat. Now, coming to the point, the red light incident on the object will contain light composed of many wavelength, some of which will be reflected by the body, so the body should reflected light of wavelength near to blue light thus giving a darkish red, with blueish tint. The resultant should be somewhat dark maroon.

five words that comes to your mind whenever you hear the word energy

Answers

Answer: power, renewable, extinct, solar, wind

Would appreciate brainliest <3

Answer:

chemical

mechanical

electrical

nuclear

thermal

brainliest ?

Which of these had the most accurate view of the solar system? Copernicus Aristotle Kepler Tycho Brahe Ptolemy

Answers

Among the listed individuals, Kepler had the most accurate view of the solar system.

Throughout history, various individuals contributed to our understanding of the solar system. However, when considering the accuracy of their views, Kepler's model stands out. Johannes Kepler, a German astronomer, formulated the laws of planetary motion based on careful observations and mathematical analysis.

Kepler's first law, known as the law of elliptical orbits, proposed that planets move around the Sun in elliptical paths, with the Sun located at one of the focal points. This model accurately described the motion of planets, unlike the circular orbits proposed by previous astronomers like Aristotle and Ptolemy.

Kepler's second law, the law of equal areas, stated that a planet sweeps out equal areas in equal time intervals as it orbits the Sun. This law explained how the speed of a planet changes as it moves along its elliptical path.

Finally, Kepler's third law, the harmonic law, established a mathematical relationship between a planet's orbital period and its average distance from the Sun. This relationship provided a fundamental understanding of the structure and behavior of the solar system.

Overall, Kepler's contributions to our understanding of the solar system, particularly his laws of planetary motion, make his view the most accurate among the individuals listed.

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Two grocery carts have the same initial total momentum. The two carts collide, and now cart B has a greater final velocity.

Which best describes the final total momentum of both the carts compared to the initial total momentum?

It is less if cart B has a smaller mass.
It is greater if cart B has a greater mass.
It is the same if no external forces are added.
It depends on the masses of cart A and cart B.

Answers

Answer: The anser is C

Explanation:

It is the same if no external forces are added.

Based on the principle of conservation of linear momentum, the final total momentum of both carts compared to the initial total momentum is the same if no external forces are added.

The given information;

two carts have equal initial momentum beforeafter collision, cart B has greater final velocity

According to the principle of conservation of linear momentum, the total momentum before collision is equal to the total momentum after collision.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

m₁ and m₂ are the masses of the two cartsu₁ and u₂ are the initial velocities of the two cartsv₁ and v₂ are the final velocities of the two carts after collision

Thus, based on this principle (conservation of linear momentum), the final total momentum of both carts compared to the initial total momentum is the same if no external forces are added.

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The data is plotted so students can find and report the boiling point elevation by getting the average temperature at the two plateaus and finding the difference. What will the first plateau represent? a) the boiling point elevation b) the boiling point of the pure solvent c) the boiling point of the solution

Answers

The first plateau represent would be b) the boiling point of the pure solvent.

About boiling point

Boiling point is the temperature (temperature) at which the vapor pressure of a liquid is equal to the external pressure experienced by the liquid. A liquid in a vacuum will have a lower boiling point than if it were under atmospheric pressure. Liquids that are under high pressure will have a higher boiling point than their boiling point at atmospheric pressure.

The normal boiling point (also called atmospheric boiling point) of a liquid is the special case where the vapor pressure of the water is equal to the atmospheric pressure at sea level, one atmosphere.

At this temperature, the vapor pressure of the liquid can overcome atmospheric pressure and form bubbles within the liquid mass. At this time (as of 1982) the Boiling Point Standard determined by the IUPAC is the temperature at which boiling occurs at a pressure of 1 bar.

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The position of an object in circular motion is modeled by the given parametric equations. Describe the path of the object by stating the radius of the circle, the position at time t = 0, the orientation of the motion (clockwise or counterclockwise), and the time t that it takes to complete one revolution around the circle. x = 5 sin(t), y = 5 cos(t)
position at time
t = 0?
time t it takes to complete one revolution​?

Answers

Given, the position of an object in circular motion is modeled by the parametric equations: x = 5 sin(t) and y = 5 cos(t).

To describe the path of the object:

Radius of the circle:

We can obtain the radius of the circle by using the relation: r² = x² + y²=> r² = (5sin t)² + (5cos t)²=> r = 5Position at time t = 0:

When t = 0, we have x = 5 sin(0) = 0 and y = 5 cos(0) = 5.

The position of the object is at (0, 5) at time t = 0.

Orientation of the motion: We know that sin and cos functions are periodic with period 2π radians.

Hence, we can say that the object completes one revolution around the circle in 2π seconds.

Since x = 5 sin(t) and y = 5 cos(t) represent the equations of a circle with radius 5, it is clear that the path of the object is a circle with center at (0,0) and radius 5 units.

The orientation of the motion is counterclockwise.

Therefore, the path of the object is a circle with center at (0,0) and radius 5 units. The position of the object at time t = 0 is (0, 5).

The orientation of the motion is counterclockwise.

The time t it takes to complete one revolution around the circle is 2π seconds.

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A cube measures 3cm on each side has a mass of 25 grams. what it its density and relative density.​

Answers

Answer:

Density= 2.78 g/cm³

Relative density=2.8

Explanation:

To calculate the density of the cube we have to use the formula ρ=mass/volume

ρ stands for density.

So now we don't have the volume of the cube and to find the volume of the cube we have to use the formula a³

3³= 9 cm³

Now plug in the values. ρ= 25 g/9 cm³

ρ= 2.78 g/cm³

To find the relative density, we have to use the formula ρsample/ρH20

The sample means the density of the substance earlier. We do not know the density of water but it is constant at 997 kg/m³.

Now we have to make the units same so you change the unit of the density of cube to kg/m³

So, 25/1000= 0.025 kg

9/100×100×100 (because cm³ which means that there should be 3 meters to change the unit and to conver cm to meter we need to divide by 100 so 9cm/100, 9cm²/100×100, 9cm³/100×100×100)

=0.000009 m³

The new density= 0.025 kg/ 0.000009 m³

= 2777.78 kg/m³

Now plug the values into the formula:

relative density= 2.777.78 kg/m³ / 997 kg/m³

=2.8

There is no unit since kg/m³ and kg/m³ cancels

whos correct and why? please help me with this

whos correct and why? please help me with this

Answers

Answer:

Enrique is the correct answer Hope it helps you have a good day

Answer:

enrique is correct

Explanation:

thw earth is bigger than the moon and closer to the sun therefore a shadow is cast from the earth onto the moon as it orbits around the earth

Do you expect the suspended magnet to align itself parallel or antiparallel to a stationary magnet? why?

Answers

I expect the suspended magnet to align itself antiparallel to a stationary magnet. This is because magnets have two poles: north and south.

When you bring two magnets close to each other, opposite poles (north-south) attract, and like poles (north-north or south-south) repel.

In an antiparallel alignment, the north pole of the suspended magnet will face the south pole of the stationary magnet, and the south pole of the suspended magnet will face the north pole of the stationary magnet.

This arrangement allows for the attractive forces between the opposite poles, causing the magnets to align antiparallel to one another.

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define inertia.mention it's types​

Answers

Answer:

It is the inability of the body to change by itself its state of rest or uniform motion or direction. Types of Inertia- It is of three types-(1)Inertia of rest (2) Inertia of motion(3) Inertia of direction. (1) Inertia of rest - It is the inability of the body to change by itself its state if rest.

ou se trouve l'eau ? read it and get 20 pnts

ou se trouve l'eau ? read it and get 20 pnts

Answers

Answer:

Water is omnipresent in our environment on a global scale: in the seas, oceans, lakes, rivers, in glaciers and ice floes... but also in the atmosphere (clouds,

Rain, hail, snow, water vapor...). Water is also omnipresent in our environment

Daily: water to drink, to cook, to wash...

Your Cardiovascular system is made up of what three body parts?

Question 1 options:

Heart


Lungs


Blood vessels


Blood


Muscles

Answers

Answer:

heart, lungs, blood vessels

Explanation:

Why are there 16 ounces in a pound but 14 pounds in a stone?

Answers

Answer:

The pound originally was 12 oz, but was increased to 15 and then 16 oz later. One should remember that the weights on the scales were marked in oz, of 1, 2, 4, 8, &c, and in one case, the 16 oz simply became the pound.

Explanation:

Hope this helps

The potential energy of an apple is 6.0 Joules. The apple is 1.22m high. What is the mass of the apple?

Answers

Answer:

The mass of the apple is 0.49kg

Explanation:

Potential energy=mgh

P=mgh

6=m×1.22×10

6=12.2m

divide both sides by 12.2

m=6/12.2

m=0.49kg

A baseball with a mass of 0.145 kilograms collides with a bat at a velocity of 44 meters/second. the ball bounces off the bat with a speed of 49 meters/second in the opposite direction. what is the impulse? a. 4.32 newton∙seconds b. 7.25 newton∙seconds c. 8.23 newton∙seconds d. 9.42 newton∙seconds e. 13.5 newton∙seconds

Answers

The impulse is 13.5 N-s.

As we know that impulse is a sudden force acting on a body for a short time interval is called Impulse.

                                Δp = FΔt  

Mathematically, the change in momentum will equal impulse.

                                Δp = mΔv

                   →           Δp =  0.145(49-(-44))

                   →           Δp = 0.145(93)

                               Δp =  13.5 Newton-second

Thus, option (e) is correct.

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Which element is a metalloid? selenium (Se) polonium (Po) phosphorus (P) iodine (I)

Answers

Answer:

Polonium(Po)

Explanation:

Answer:

B. polonium (Po)

Explanation:

i took the test

Two identical baseballs are thrown with the same speed toward home plate. Ball A is spinning rapidly as it travels. Ball B is not spinning as it travels. (a) Which ball has more total mechanical energy? Explain (b) Which ball requires more work to throw? Explain
(c) If a pitcher Wants t0 throw two balls-one spinning and one not-that require the same amount of work to throw; which will travel faster toward home plate? Explain

Answers

If a pitcher wants to throw two balls requiring the same amount of work to throw, the ball without spin (Ball B) will travel faster toward home plate.

(a) Ball A, which is spinning rapidly, has more total mechanical energy because rotational kinetic energy is added to its translational kinetic energy. The spin contributes to the overall energy of the ball.

(b) Ball A, which is spinning rapidly, requires more work to throw because the rotational motion adds an additional component of kinetic energy that needs to be provided by the pitcher.

(c) If a pitcher wants to throw two balls requiring the same amount of work to throw, the ball without spin (Ball B) will travel faster toward home plate. This is because the absence of spin allows for better aerodynamic efficiency, reducing air resistance and allowing the ball to maintain higher translational speed.

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calculate the frequency of a wave that is traveling at a speed of 3.0 m/s and has a wavelength of 1.2m

Answers

Answer:

2.5 Hz

Explanation:

3.0m/s / 1.2 m=2.5 1/s=2/5 Hz

The frequency of a wave with speed of 3.0 m/s and has a wavelength of 1.2m is 2.5 Hz.

What is frequency?

The frequency of a wave is the number of cycles per second.

Given the wavelength is 1.2 m and speed v =3.0m/s, then the frequency of the wave is

v =fλ

f = 3 / 1.2

f = 2.5 Hz

Thus, the frequency of the wave is 2.5 Hz.

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Two 10-cm-diameter charged rings face each other, 24.0 cm apart. both rings are charged to 20.0 nc . what is the electric field strength?

Answers

E = k * (Q / r²). Where E is the electric field intensity, k is the Coulomb's constant (9 x 10⁹ N ), Q is one of the rings' charges, and r is the distance between their centres. The electric field strength is 3125 N/C.

Thus, the distance between the centres of the two rings is r = 24.0 cm, and both rings have the same charge, Q = 20.0 nC.

Transforming the charge from nano Coulombs to Coulombs first Q = 20.0 nC = 20.0 x 10⁹ C

The strength of the electric field:

E = [(20.0 x 10-⁹ C) / (24.0 x 10-2 m)] * [(9 x 10 ⁹)

E = (9 x 10⁹ ) * (20.0 x 10⁹) / (0.24)

E = (9 x 10⁹) * (20.0 x 10⁹ C) / 0.0576

E ≈ 3125 N/C.

Thus, E = k * (Q / r²). Where E is the electric field intensity, k is the Coulomb's constant (9 x 10⁹ N ), Q is one of the rings' charges, and r is the distance between their centres. The electric field strength is 3125 N/C.

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What is the frequency of a wave that passes 4 wavelengths in 4 seconds

Answers

You just have to divide 4/4 and your answer is 1 Hz
What is the frequency of a wave that passes 4 wavelengths in 4 seconds

If Nitrogen gains three electrons, what will its charge be? *

Answers

Answer:

It's change will form the nitride ion

Question 1 (1 point)
A boy on a treasure hunt walks 12 paces West, then 21 paces North, then 25 paces
East. What is the magnitude of boy's resultant displacement in meters?

Answers

Answer:

The magnitude of the boy's displacement is 24.698 paces which is in the direction of approximately 58.24° North of East

Explanation:

The given parameters are;

The distance West the boy on a treasure hunt walks = 12 paces

The distance North the boy on a treasure hunt then walks = 21 paces

The distance East the boy on a treasure hunt then walks = 25 paces

Writing the displacement in vector format, gives;

d = -12·i + 21·j + 25·i

Which gives

d = 13·i + 21·j

The magnitude of the boy's resultant displacement is given as follows;

\(\left | \mathbf{d} \right | = \sqrt{d_x^2 + d_y^2}\)

Where;

\(d_x = 13, \ d_y = 21\)

\(\left | \mathbf{d} \right | = \sqrt{13^2 + 21^2} = \sqrt{610} \approx 24.698 \ paces\)

The magnitude of the boy's displacement is 24.698 paces

The direction of the displacement is tan⁻¹(21/13) ≈ 58.24° North of East.

Help with both a and b please

Help with both a and b please

Answers

Explanation:

a.)

Reactants : CO2 (carbondioxide) + H2O (water)

Products : O2 (oxygen) + C6H12O6 (glucose)

b.)

Reactants: Na ( Solid Hydrogen) + H2O (water)

Products: H2 (hydrogen gas) + NaOH (sodium hydroxide)

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