A light, flexible rope is wrapped several times around a hollow cylinder with a weight of 40 N and a radius of 0.25m that rotates without friction about a fixed horizontal axis. The cylinder is attached to the axle by spokes of a negligible moment of inertia. The cylinder is initially at rest. The free end of the rope is pulled with a constant force P for a distance of 5 m, at which point the end of the rope is moving 6 m/s. If the rope does not slip on the cylinder, what is the value of P

Answers

Answer 1

Answer:

The value is [tex]P = 14.7 \ N[/tex]

Explanation:

From the question we are told that

    The weight of the hollow cylinder is  [tex]W = 40 \ N[/tex]

     The radius of the hollow cylinder is  [tex]r = 0.25 \ m[/tex]

       The distance which it is pulled is  [tex]d = 5 \ m[/tex]

       The velocity of the end of the rope  is  [tex]v = 6 \ m/s[/tex]

Gnerally the mass of the hollow cylinder is  

      [tex]m = \frac{W}{g }[/tex]

=>    [tex]m = \frac{ 40 }{ 9.8 }[/tex]

=>    [tex]m = 4.081 \ kg[/tex]

Generally angular displacement for the distance covered is mathematically represented as

        [tex]\theta = 2 \pi * \frac{ d } {2\pi r }[/tex]

=>     [tex]\theta = 2 \pi * \frac{ 5 } {2\pi r }[/tex]

=>     [tex]\theta = \frac{ 5 } { 0.25}[/tex]

=>   [tex]\theta =20[/tex]

Generally the torque experienced  by the hollow cylinder is mathematically represented as

     [tex]P * r = I * \alpha[/tex]

Here I  is the moment of inertia

=>   [tex]P * r = m r^2 * \alpha[/tex]

=>    [tex]\alpha = \frac{P }{ mr }[/tex]

Generally from kinematic equation

     [tex]w_f ^2 = w_i ^2 + 2\alpha \theta[/tex]

=>  [tex]w_f ^2 = w_i ^2 + 2\alpha \theta[/tex]  

Generally the  final angular velocity is mathematically

      [tex]w_f = \frac{v}{r}[/tex]

=>    [tex]w_f = \frac{ 6 }{ 0.25 }[/tex]

=>    [tex]w_f = 24 \ m/s[/tex]

Generally the  initial  angular velocity is Zero given that the hollow cylinder was at rest before rolling

     [tex]24^2 = 0^2 + 2* \frac{P}{4.081 *0.25 } * 20[/tex]

=>   [tex]24^2 = 0^2 + 2* \frac{P}{mr} * 20[/tex]

=>   [tex]P = 14.7 \ N[/tex]


Related Questions

Calculate the electric field when the forces is 2N and the medium is mica

Answers

Answer:

E₀ = 5.97 10⁸ N / C

Explanation:

Coulomb's law in a material medium is written

       [tex]F = \frac{1}{4\pi \epsilon } \frac{q_{1} q_{2} }{r^{2} }[/tex]

ε is the electrical permittivity of the material

Electric field and force are related        

          F = q E

in dielectric materials such as mica there is an electric field inside the material that decreases the external field

           E = E₀ /ε

where ε is the electrical permittivity of the material; in general it is tabulated in the form

           [tex]\epsilon _{r} =\frac{\epsilon}{\epsilon_{o}}[/tex]

          [tex]\epsilon = \epsilon_{r} \ \epsilon_{o}[/tex]

we substitute

          F = q E₀ /  \epsilon_{r}  \epsilon_{o}

         [tex]E_{o} = \frac{F \ \epsilon_{r} \ \epsilon_{o} }{q}[/tex]

for the case of mica it is equal to er = 5.4 and suppose a test charge equal to the charge of the electron

we calculate

          E₀ = 2  5.4  8.85 10⁻¹² / 1.6 10⁻¹⁹

          E₀ = 59.74 10⁷

          E₀ = 5.97 10⁸ N / C

In a computer, the ___chips are magnetic

Answers

Answer:

Nanomagnetic chips.

Explanation:

In a computer, the hard disk drive chips are magnetic.

What is hard drive?

A non-volatile data storage device is a computer hard disk drive (HDD). Non-volatile storage devices are those that retain data even after being turned off. HDDs are merely one form of storage device, yet they are required by all computers.

Desktop computers, mobile phones, consumer gadgets, and enterprise storage arrays in data centers are frequently equipped with HDDs. They can use magnetic disks to store operating systems, applications, and other things.

Hence, Hard disk drive is belongs to one of those chips which at magnetic in nature.

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If there are oncoming cars to the left of you and a child on a bike to the right, what is the correct action to take

Answers

Answer:

Give the child a lot of room to your side, which may mean moving closer to the oncoming vehicles.

Explanation:

I majored in Physics.

PLEASE HELP ME!!!!!!!!!!!!

Answers

Answer:

It is either A or D I think it is A.

Tbh i think A is wrong bcuz they arent making an agreement AT ALL. The correct answer is C. George washington is sending aid which is why he said that depends on you the trust is well placed. George washington sent aid to this place to helped the oppressed. YOUR CORRECT ANSWER IS C

In projectile mtion, what is the y-component of the initial velocity? if V= Vi = 100 m/s and the angle with horizontal axis Θ = 30 degrees

Answers

Answer:

hence the y - component of the velocity is 50m/s

A space probe recovered an 8.5-kg sample of rocks from the surface of Mars. The acceleration due to gravity on Mars is 3.7 meters per second squared. What is the weight of the sample of rocks on the surface of the earth?

Answers

Answer: 31N

Explanation:F = m x a

F = 8.5 x 3.7

F = 31.45

F = 31 (rounded)

F = 31 N

Which of the following best describes reflection?
a. Reflection is when waves bend around an obstacle.
b. Reflection is when waves bounce off a surface.
c. Reflection is when waves bend.

Answers

B. Reflection is when waves bounce off a surface Ik this because I did it in 7th grade was my favorite unit to learn in school

Reflection is when waves bounce off a surface this because I did it in 7th grade was my favorite unit to learn in school.

What is Reflection?

When two different media come together at an  a wavefront might change direction so that it returns to the first medium, which is known as reflection.

The reflection of light, sound, and water waves are typical examples. According to the law of reflection, the angle at which the wave incident on the surface equals the angle at which it is reflected for specular reflection (such as at a mirror).

Reflection produces echoes in acoustics and is used in sonar. It is crucial to the study of seismic waves in geology. Surface waves in bodies of water are used to observe reflection.

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sonu and meenu build a circuit like the one shown below.name the component laballed X. What are sonu and meenu using the component labelled X to measure?​

Answers

Answer:

this conponent is a bulb

and is used to measure brightness

what must be true if a waves wavelength is short ?

Answers

Answer: So, if the wavelength of a light wave is shorter, that means that the frequency will be higher because one cycle can pass in a shorter amount of time. ... That means that longer wavelengths have a lower frequency. Conclusion: a longer wavelength means a lower frequency, and a shorter wavelength means a higher frequency!

If the wavelength of a wave is short. It is true that the wave will have a lower frequency. A longer wavelength denotes a lower frequency.

What is a wave?

A wave is a phenomenon that flows across a material medium without leaving any lasting mark.

Frequency is defined as the number of cycles per second. The time to make one complete cycle is the frequency and the distance between successive crests of a wave is the wavelength.

Thus, a shorter wavelength of a light wave signifies a greater frequency since one cycle may pass in a shorter amount of time. Longer wavelengths have a lower frequency.

Hence  a longer wavelength denotes a lower frequency, whereas a shorter wavelength denotes a higher frequency.

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can someone help me figure out which one it is

Answers

Answer:

X=dt

.

.

.

.

.

.

hope it helps...

26. For this table of data, which column is the independent variable?
radius of circle (m) area of circle (m2)
3.4
36.317
4.5
63.617
4.6
66.476
6.2
120.763
7.6
181.458
7.7
186.265
8.6
232.352
9.7
295.592
area of circle
o
radius of circle
O
None of these is correct.

Answers

Answer:

radius of a circle is measured by an instrument, so it is the independent variable

Explanation:

The independent variable corresponds to the magnitude controlled by the experimenter and in general can be measured by an instrument.

The dependent variable is the variable used to perform the calculations, obtained from a mathematical transformation of the independent variable.

The radius of a circle is measured by an instrument, so it is the independent variable and the area is calculated by

         A = π r²

Therefore the area corresponds to the dependent variable

TRUE or FALSE: During a collision between objects of different mass, there is a greater force applied to the less massive object.

Answers

If they are moving at the same speed then it would be true because the larger object would have more mass and would have more momentum then the smaller object that has less mass! Hope this helps!

a snowball thrown at an ice cream truck at Valley Forge in January sticks to the side. Into what form of energy was the mechanical energy changed

Answers

Answer:

Thermal Energy

Explanation:

I majored in Physics

When a snowball thrown at an ice cream truck at Valley Forge in January sticks to the side, the mechanical energy was  changed into thermal energy.

What is law of conservation of energy?

Energy cannot be created or destroyed, according to the rule of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.

The law of energy conservation is adhered to by all energy forms. The law of conservation of energy essentially says that all energy is conserved in closed systems, or systems that are isolated from their surroundings.

When a snowball thrown at an ice cream truck at Valley Forge in January, the mechanical energy was  changed into thermal energy and the edges of the ice melts and again due to temperature of the surrounding they freezes together and the snowball sticks to the side.

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Read the following dream interpretation and answer the question that follows.
"I suspect that the patient's dream of being chased originates from his unresolved feelings of guilt during childhood."
What perspective of dream interpretation is being offered?
A. Freudian
B. activation-synthesis
C. Jungian
D. motivation

Answers

Answer:

Freudian

Explanation:

Answer:

Freudian

Explanation:

What is the momentum of a 70 kg man who is running with a velocity of 2.5 m/s?

Answers

Answer:

175kg.m/s

Explanation:

Momentum= mv 70kg*2.5m/s

An 80.0kg person is standing on a scale in an elevator accelerating downward at 4.0m/s^2. What is the reading on the scale to the nearest newton?

Answers

Answer:

320 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 80 × 4

We have the final answer as

320 N

Hope this helps you

What measurement do we use to determine the amount of force used to move an object by a simple machine

Answers

Answer:

Newtons.

Explanation:

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

[tex] F = ma[/tex]

Where;

F represents force measured in Newton.

m represents the mass of an object measured in kilograms.

a represents acceleration measured in meter per seconds square.

Newtons is a measurement we use to determine the amount of force used to move an object by a simple machine. It is the International System of Units (SI) used to measure force and has a symbol of N.

Basically, it was named after Sir Isaac Newton based on his fundamental works in the field of mechanics (motions).

init.
How is 'one standard kilogram' defined in SI system?
What is weight? Write down its SI unit.​

Answers

Answer:

The kilogram, symbol kg, is the SI unit of mass. It is defined by taking the fixed numerical value of the Planck constant h to be 6.62607015×10−34 when expressed in the unit J⋅s, which is equal to kg⋅m2⋅s−1, where the metre and the second are defined in terms of c and ΔνCs.

Answer:

The kilogram (abbreviation, kg) is the standard international (SI)system of units.it was originally defined as the mass of 1 litre(10-3 cubic meter) of pure water.At the earth's surface ,a mass of 1 kg weight approximately 2.20 pounds (IB)

Explanation:

the force of attraction exerted by the earth on a body of certain mass. It's SI unit is Newton(N).

Calculate the displacement of the following components:
1 units North
2 units South
2 units North
2 units North
3 unit South

Answers

Answer:

zero displacement

its returnin to the starting point.

5 north 5 south

Voltage has been described as similar to the water in the water pipes in your home. What other analogy can you think of that is similar to voltage?

Answers

When describing voltage, current, and resistance, a common analogy is a water tank. In this analogy, charge is represented by the water amount, voltage is represented by the water pressure, and current is represented by the water flow.

A mosquito can fly with a speed of 1.10 m/s with respect to the air. Suppose a mosquito flies east at this speed across a swamp. The mosquito is flying into a breeze that has a velocity of 1.4 m/s with respect to Earth and moves in the direction of 35 west of south. What is the mosquito's speed with respect to the Earth?

Answers

Answer:

The velocity of Mosquito with respect to earth will be 0.302m/s

Explanation:

V(ma) = 1.10 m/s, east  Velocity of mosquito with respect to air

V(ae) = 1.4 m/s at 35°  Velocity of air with respect to Earth in west of south direction.

Velocity of Mosquito with respect to earth will be  

V(me) = V(ma) + V(ae)

We need to find the mosquito’s speed with respect to Earth in the x direction.

V(x, me) = V(x, ma) + V(x, ae) = V(ma) + V(ae)(cos theta(ae) )

Angle (ae) = –90.0° − 35°=−125°

V(x, me) = 1.10 + (1.4)Cos(-125)

             = 1.10 + 1.4(-0.57)

             = 1.10 -0.798

              = 0.302

So the velocity of Mosquito with respect to earth will be 0.302m/s

Melinda is taking a tour through a new city on the tour she walk there .40 miles south 0.65 miles east 0.78 miles north 1.24 miles west then 1.20 miles south at the end of the tour what is Melinda's displacement vector

Answers

Answer:

The displacement vector is  [tex]-0.59 \hat i -0.82 \hat j[/tex]

Explanation:

Taking East as positive x-axis having a unit vector [tex]\hat i[/tex] and North as positive y-axis having a unit vector [tex]\hat j[/tex].

So, west and south are in negative x and negative y  directions respectively.

As she walks 0.40 miles south, 0.65 miles east, 0.78 miles north, 1.24 miles west then 1.20 miles south.

Scaling 1 mile as 1 unit vector, so 1 mile east = 1 [tex]\hat i[/tex] and so on

Adding all the displacement vectors, we have

[tex]\vec {v} = -0.40 \hat j +0.65 \hat i + 0.78 \hat j -1.24 \hat i - 1.20 \hat j[/tex]

[tex]\vec {v} = -0.59 \hat i -0.82 \hat j[/tex]

Hence, the displacement vector is  [tex]-0.59 \hat i -0.82 \hat j[/tex]

A 4812 kg boulder sits on top of a 203 m cliff. What is its PE?

Answers

Answer:

9572992.8 J

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 4812 × 9.8 × 203

We have the final answer as

9572992.8 J

Hope this helps you

HELP! WILL GIVE BRAINLIST!!!
- How do the greenhouse gases warm the atmosphere?
a. Solar radiation penetrates the atmosphere and is trapped by greenhouse gases which warms the atmosphere.
b. Solar radiation is absorbed by the Earth which directly warms the atmosphere.
c. Infrared radiation from the Sun is trapped by greenhouses gases and heats the atmosphere.
d. Solar radiation absorbed by the Earth is converted to infrared which is blocked by greenhouse gases and heats the atmosphere.

Answers

Answer:

Explanation:

Option C is the correct answer

Infrared radiation from the Sun is trapped by greenhouse gases and heats the atmosphere, by this phenomenon of heat absorption the greenhouse gases warm the atmosphere,therefore the correct answer is option C.

What is electromagnetic radiation?

The propagation of electromagnetic waves, which are generated from both natural and artificial sources, results in the energy radiation known as electromagnetic radiation.

This radiation does not need any kind of medium to propagate. The electromagnetic wave has components of light as well as heat in them.

By absorbing heat through the process of heat assimilation, greenhouse gases warm the atmosphere by trapping infrared light from the Sun.

Thus, the correct answer is option C.

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What type of sonar causes loud noises in the water?

Answers

Answer:

low frequencies

Explanation:

The type of sonar that causes loud noises in the water is known as active sonar.

Active sonar is a system that emits sound waves into the water and listens for their reflections to detect objects and measure distances. It works by sending out a pulse of sound, which travels through the water and reflects off objects such as submarines, ships, or marine life.

The reflected sound, or echo, is then received by the sonar system's hydrophone, allowing it to analyze the data and provide information about the surrounding environment.

While active sonar is effective for detecting objects and underwater features, it can also produce loud noises that may have various effects on marine life.

The loud sound pulses can potentially disturb or harm marine animals, particularly marine mammals like whales and dolphins, which rely heavily on sound for communication and navigation. The use of active sonar has been a topic of environmental concern, and efforts are made to minimize its impact on marine ecosystems through regulations and responsible use.

Hence, The type of sonar that causes loud noises in the water is known as active sonar.

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hewo pweese help
A runner accelerates at 3 m/s/s for total of 6 seconds. How far will she have run during this time?

Answers

Answer: 18 m/s/s

Explanation:

3 times 6 equals 18 and 3 seconds every second makes this equation

A ball has a mass of 0.1 kg and an initial velocity of 20 m/s. The ball is given an acceleration of 30 m/s2 for 5 s. What is the net force on the ball during acceleration?

Answers

Answer:

acceleration = v-u /t

30- 20/5

= 10/5 = 2m/sec²

Force = mass * acceleration

Force = 0.1 * 2

Force = 0.2 Newton

Answer:

I hope the above pic will help you

I will always help you understanding your assingments

have a great day #Captainpower:)

Martes
0-9 What is Acceleration due to Gravity? Explain formula of relation between g & G and
find the value of g.
Q-10 What are weeds? Give the examples of weeds, need to control them and methods
to control them.​

Answers

Explanation:

(9) Acceleration due to gravity is defined as the acceleration between two massive bodies when they are moving under free fall.

The relation between g and G is given by :

[tex]g=\dfrac{GM}{r^2}[/tex]

Where

G is universal gravitational constant

M is mass of the earth

r is distance

(10) The unwanted product that can toxify the crops are called weeds. To control weeds, a chemical called weedicides are sprayed in the field. Some other methods to control them are Ploughing or tilling of soil etc.

a beaker weighs 0.4N when empty and1.4N when filled with water what does ot weigh when filled with brine of density 1.2 g/cm3

Answers

Answer:2.47

Explanation:

So, the beaker weighs 1.40N when filled with water, brine of density weighs about 1.7N, you add the density + water. Have a good day!

what is gravity???☺️

Answers

Answer:

Gravity

Explanation:

its an invisible force that pulls objects

toward each other.

hope it helps

A force that pulls objects downwards
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