How does the friction affect the total time a pendulum is in motion? And what could cause this friction in the real world?

Answers

Answer 1

Answer:

Without friction, the equation of motion for a pendulum of length L is,

md2θdt2+mgsin(θ)L=0.

Or for small oscillations, (i.e., sin(θ)≈θ),

md2θdt2+mgθL=0.

Assuming an initial angle θ0 and a pendulum that starts at rest, the solution to this differential equation is,

θ(t)=θ0cos(gL−−√t).

Frictional force adds an additional damping term into the equation of motion,

md2θdt2+λdθdt+mgθL=0,

where λ is a coefficient of kinetic friction.

Assuming an initial angle θ0 and a pendulum that starts at rest, the solution to the damped differential equation is,

θ(t)=θ0e−12λmtcos((gL−λ24m2−−−−−−−−√)t).

(Note: If you would like to consider closed form solutions for large angles, I would recommend consulting the mathematics section. The solutions to that problem are called elliptic integrals of the first kind.)

Answer 2

Friction decreases the total time that a pendulum is in motion.

If we consider a pendulum in motion, in accordance with Newton's law, the pendulum will continue moving unless it is acted upon by an external force.

In the case of the pendulum, the external force that acts on it is the air resistance or friction. As a result of this friction, the pendulum will eventually come to a stop.

In the real world, the surface of objects cause friction which causes moving objects to stop.

Learn more: https://brainly.com/question/18754989


Related Questions

Explain
4. When are chemical
properties observable?

Answers

they are observable when there is a change in color, smell, temperature, and there is a precipitate or formation of bubbles.

identify the parts of the heart in the corresponding spaces. once you have identified the parts of the heart, label the image provided

Answers

Answer:

no image provided to answer

Explanation:

How many types of pollination are there?​

Answers

Answer: two

Explanation: Although there are many different types of pollinators, there are just two main types of pollination—self-pollination and cross-pollination.

What did belt mean by “ I saw the handiwork…starting with the road itself”

Answers

Answer:unsure

Explanation:

unsure

I- what is epitope? II- what is virus? a living organism? why? types of virus? classification of Corona virus. III- what is vaccine? purpose of vaccination? goal, in terms of immunity? what is Pfizer vaccine? how does it work? please I will need your help thanks​

Answers

Answer:

1.the part of an antigen molecule to which an antibody attaches itself.

2.A virus is an infectious agent that can only replicate within a host organism. Viruses can infect a variety of living organisms, including bacteria, plants, and animals. Viruses are so small that a microscope is necessary to visualize them, and they have a very simple structure.

3. Vaccination is a simple, safe, and effective way of protecting you against harmful diseases

immunity: Protection against a disease

C0VID-19 mRNA vaccines give instructions for our cells to make a harmless piece of what is called the “spike protein.” The spike protein is found on the surface of the virus that causes C0VID-19. First, C0VID-19 mRNA vaccines are given in the upper arm muscle.

Explanation:

True/false: If the earths axis were perfectly vertical at 0 degrees we would not have any seasons

Answers

Answer: its true

Explanation:

the seasons are caused because of the tilt. without it, then there are no seasons at all. and because the tilt faces the sun and without that tilt then no seasons

What is the fluid compound of blood

Answers

Answer:

The liquid component of blood is called plasma, a mixture of water, sugar, fat, protein, and salts.

Explanation:

gooogle

What process takes place in plant and animal cells that involves chemical reactions with oxygen and releases stored energy? cell division meiosis cellular respiration photosynthesis

Answers

Answer:

cellular respiration

Explanation:

I did the test-

C. cellular respiration

Explanation: Becuase yes.

* I got the quiz*

HEYYYYYYYYYY PLEASE HELP!!!!!

Answers

Answer:

Velocity

Explanation:

Given the change in positive (direction) over time we are given the velocity formula.

V = Change in direction/Change in time

Since we are given a direction we can rule out speed as well as direction in itself. We can also rule out acceleration because that is the change in Velocity divided by change in time.


How are atoms, elements, and compounds related?

Answers

Answer:

Atoms join together to form elements, elements join together to form compounds.

hope this helps <3

what do most organisms contain?

Answers

Answer:

Living organisms on Earth are made of a mixture of carbon, hydrogen, oxygen, nitrogen, sulfur, and phosphorous. This includes water, which has the chemical name H2O and contains two hydrogen and one oxygen atoms.

**** hope this helps brainly if possible thx!

Explanation:

Which environmental factor would cause the greatest decrease in the number of species of plants and animals living in some of the lakes in the United States?
Global warming
Ozone destruction
Acid rain
Increase in dissolved oxygen levels

Answers

acid rain, its the only thing that has to do with lakes on that list

What led to the extinction of the Pinta Island tortoises?

Answers

Answer:

19th century They were extinct do to Hunting

Explanation:

They were extinct do to Hunting

The tortoises because extinct due to frequent hunting

The thin layer at Earth's surface where life exists is called the

Answers

Answer:ma

Ksssmmsma

Explanation:Manama

Am

Replicate the following sequence:
GTA..... TAG.... ATC.....CTC

Answers

Answer:

CAT,ATC,TAG,GAG

Explanation:

hope that helps:)

Question 4
2 Points
Suppose the total concentration of potassium (K+) in the cell is 10 times less than the concentration of K+ in the
extracellular fluid. The cell would need to use
to move K+ out of the cell.
A passive transport
B
facilitated diffusion
C) osmosis
D active transport

Answers

Answer:

C

Explanation:

Because thex=y so a reverse review is nice to =15

Which would conserve more energy if all humans ate only vegetables or ate only meat

Answers

Answer:

There would be more conservation of energy if human beings it only meat.  

Explanation:

this is because meat consists of a significant portion of the fat. The amount of of energy that is liberated per molecule of fat is almost twice the amount of energy that is liberated by carbohydrate or protein. As a result of this the total energy consumption will be more if human being consumes only fat. however it takes more time to digest fat as compared to that of carbohydrate and protein.

Answer:

There would be more conservation of energy if human beings it only meat.

Explanation:

This is because meat consists of a significant portion of the fat. The amount of energy that is liberated per molecule of fat is almost twice the amount of energy that is liberated by carbohydrates or protein.

As a result of this the total energy consumption will be more if human being consumes only fat. However, it takes more time to digest fat as compared to that of carbohydrates and protein.

Giving brainliest!!!!!!!!! This is the last question on the test so i bumped up the points ;)

Answers

Answer:

D

Explanation:

All living organisms have to have cells

Fill the blacks: ice is ____but has___ hydrogen bonds than liquid water
A- more dense- less
B- none of the thiss
C- less dense- less
D- more dense - less
E- less dense - more

Answers

Answer:

e

Explanation:

i took the test

How did flooding lead to an increase in fires in the Mojave Desert, thus decreasing the Joshua tree population?

Answers

Answer: Flooding gave rise to more plant material, which became fuel for fires.

Answer:

Flooding gave rise to more plant material, which became fuel for fires.

Explanation:

What is the connection between the liquid state of water and hydrogen bonding?

Answers

Answer:

In the liquid state, the hydrogen bonds of water can break and reform as the molecules flow from one place to another. When water is cooled, the molecules begin to slow down. Eventually, when water is frozen to ice, the hydrogen bonds become permanent and form a very specific network.

Explanation:

_____ is an example of transient evidence at the crime scene on Willow Lane.


a wild dog living in the woods behind the house

the bleeding man on the driveway

a hot cup of coffee near the dead body

Answers

Answer:

a hot cup of coffee near the dead body

Explanation:

Answer:

C

hot cup of coffee

Explanation:

edge 22

How would the equilibrium change if the ocean became more acidic?

Answers

Answer: more H2CO3 is made

Explanation:

Acidic water of the ocean creates instability in the ocean ecosystem.

What happens when ocean become acidic?

If the acidity of ocean increases the corals can't build skeletons and the shellfish also can't build the shells which they need for protection.

Corals are particularly important because they provide homes for many other sea creatures so we can conclude that acidic water of the ocean creates instability in the ocean ecosystem.

Learn more about equilibrium here: https://brainly.com/question/517289

as the ball falls back toward the floor, it's____energy increases and its_____decreases​

Answers

Answer: as the ball falls back toward the floor, it's kinetic energy increases and its gravitational potential energy decreases​

Answer:

As the ball falls back toward the floor it’s kinetic energy increases and it’s potential

Explanation:

Warm water rises because it is ............ than cool water.


a) warmer

b) cooler

c) more dense

d) less dense



**Answer and I will give you brainiliest**​

Answers

Answer:

I'm pretty sure the answer is D.) Less Dense

Explanation:

Answer:

d) less dense

Explanation:

When fluids (liquids and gases) are heated, they expand and therefore become less dense. Any object or substance that is less dense than a fluid will float in that fluid, so hot water rises (floats) in colder water.

What can be told about the age of the fossils in the diagram?

Answers

Answer:

I think it is a because the oldest things would be farther down in the ground and the youngest would be upper to the ground if that makes sense

PLEASE I NEED HELP!!! 100 POINTS!!!

Food sample "E" tested positive for which tests?

Answers

Benedict solution sorry if it isn’t the right answer

AIDS is the fifth and most severe phase of HIV infection

Answers

Answer:

HIV is the virus that causes Aids

last stage is Full blown stage

What are
"sungrazers"? Why is this a good, descriptive name to use?

Answers

a comet that passes extremely close to the Sun at perihelion – sometimes within a few thousand kilometres of the Sun's surface. Although small sungrazers can completely evaporate during such a close approach to the Sun, larger sungrazers can survive many perihelion passages. However, the strong evaporation and tidal forces they experience often lead to their fragmentation.

Under what circumstances would molecular motion stop?

Answers

Answer:

All molecular motion stops at 0 degrees Kelvin or -273.15 degrees Celsius.

Explanation:

It is based on molecular motion, with the temperature of 0K, also known as absolute zero, being the point where all molecular motion ceases. The freezing point of water on the Kelvin scale is 273.15K, while the boiling point is 373.15K

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