The total moment of inertia about an axis is : [tex]L^{2} ( \frac{M}{3} + m ) + \frac{2mr^2}{5}[/tex] for a ring of mass m and radius straight r attached to a thin rod.
Determine the Total moment of Inertia about an axisGiven data:
mass of ring --> m
radius of ring --> r
mass of rod --> M
Length of rod ---> L ( 2 * radius )
Total Moment of Inertia about an axis = Irod + Iring
where : Irod = moment of inertia of rod, Iring = moment of inertia of ring
Irod = ML² / 3
Iring = 2mr² / 5
moment of inertia around an axis by Iring = I
where ; I = 2mr² / 5 + ML² according to parallel axis theorem
Hence the Total moment of Inertia about an axis is :
Itotal = 2mr²/5 + ML² + ML² / 3
= [tex]L^{2} ( \frac{M}{3} + m ) + \frac{2mr^2}{5}[/tex]
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For a ring of mass m and radius straight r connected to a thin rod, the total moment of inertia about an axis is [tex]\rm I= L^2 (\frac{M}{3} +m)+\frac{2mr^2}{5}[/tex].
What is a moment of inertia?The sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation expresses a body's tendency to resist angular acceleration.
The given data in the problem is;
m is the ring's mass.
r is the radius of a ring.
L is the rod length = 2r
The total Moment of Inertia about an axis;
[tex]\rm I = I_{rod}+I_{ring} \\\\ \rm I =\frac{ML^2}{3} +\frac{2mr^2}{5}[/tex]
According to the parallel axis theorem,
[tex]\rm I = \frac{2mr^2}{5} + ML^2[/tex]
The total Moment of Inertia about an axis will be;
[tex]\rm I_{total} = \frac{ML^2}{3} +\frac{2mr^2}{5}+ML^2 \\\\ \rm I_{total} =L^2 (\frac{M}{3} +m)+\frac{2mr^2}{5}[/tex]
Hence for a ring of mass m and radius straight r connected to a thin rod, the total moment of inertia about an axis is [tex]\rm I= L^2 (\frac{M}{3} +m)+\frac{2mr^2}{5}[/tex].
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What type of electromagnetic waves cause sunburns?.
Answer:
ultraviolet waves
Explanation:
Our Sun emits light at all the different wavelengths in electromagnetic spectrum, but it is ultraviolet waves that are responsible for causing our sunburns.
A car with a mass of 1,500 kg accelerates at a rate of 3.0
/s2 forward. What is the force acting on the car? Show work.
Answer:
4500 N
Explanation:
F = ma
= 1500 kg * 3 m/s^2 = 4500 N
edited to correct units !
(a) before the submarines pass each other, sub b quickly turns around and speeds up to 12. 4 m/s. What is the change in frequency noticed by observers on sub b? (enter you answer to one decimal place. )
The change in frequency noticed by observers on sub b is : 2.66 Hz before the submarines pass each other.
Given data:
New speed of Sub b ( Vb ) = 12.4 m/s
F₁ = 1416.44 Hz
Frequency of sonar wave ( Fₐ ) = 1400 Hz
Speed of sound in water ( V ) = 1533 m/s
Speed of submarine A ( Va ) = 8.4 m/s
Determine the change in frequency observed on sub BThe change in frequency can be calculated using the formula below
F₁' = Fₐ ( V + Vb / V - Vₐ )
= 1400 ( 1533 + 12.4 / 1533 - 8.4 )
= 1400 ( 1545.4 / 1524.6 )
= 1419.1 Hz
Final step : determine the change in frequency
ΔF = F₁' - F₁
= 1419.1 - 1416.44
= 2.66 Hz.
Hence we can conclude that The change in frequency noticed by observers on sub b is : 2.66 Hz.
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The frequency is the number of waves that travel through a particular place in one unit of time. The change in frequency noticed by observers on sub b is 2.66 Hz.
What is the frequency?The frequency is the number of waves that travel through a particular place in one unit of time. It may also be described as the number of cycles or vibrations experienced by a body in periodic motion in one unit of time.
Given that the new speed of the sub B is 12.4 m//sec, while the frequency of the submarine is 1416.44 Hz. The frequency of the sonar wave of submarine A is 1400 Hz. Also, the speed of sound in water, V is 1533 m/sec, and the speed of submarine A is 8.4 m/s.
Now, the frequency of the sub B after the speed is increased will be equal to,
[tex]F_1' = F_a \times \dfrac{(V+V_b)}{(V-V_a)}[/tex]
[tex]\rm = 1400 \times \dfrac{(1533+12.4)}{(1533-8.4)}\\\\=1400 \times \dfrac{1545.4}{1524.6}\\\\=1419.1\ Hz[/tex]
Further, the change in frequency noticed by observers on sub b,
[tex]\rm \triangle F = F_1'-F_1 = 1419.1-1416.44 = 2.66\ Hz[/tex]
Hence, the change in frequency noticed by observers on sub b is 2.66 Hz.
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Is a dog barking an example of kinetic energy to potential energy
Which rights did women become more active in pursuing after achieving the right to vote? Select four options.
equal pay
equal treatment
access to credit
military enlistment
access to higher education
Answer:
A, B, C, E
Explanation:
Who wants to be shipped out, am I right?
Answer:
It would be equal pay, equal treatment, access to credit
AND access to higher education.
Explanation:
Hope this helps you!!!!
The game starts with the serve on the left side of the court.
O
True
O
False
Answer:
Explanation:
well it depends what game are you talking about
If a 5-kg object experiences a 10-N force for a duration of 0. 10-second then what is the impulse exerted by the force on the object? What is the momentum change of the object? What is the change in velocity for the object?
Answer:
orce = rate of change of momentum which is m a if the mass is constant
10 Newtons = change of momentum/0.10 second
so change of momentum = 1 kg m/s
by the way the change in speed would be 1/5 = .2 m/s
Explanation:
If a 5-kg object experiences a 10-N force for a duration of 0. 10-second then the impulse exerted by the force on the object would be 1 Ns, and the change in the momentum would be 1 Ns.
What is momentum?It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.
As given in the problem If a 5-kg object experiences a 10-N force for a duration of 0. 10-second then we have to find out what the impulse exerted by the force on the object.
P = force × time
= 10 × 0.1
= 1 Ns
Thus, If a 5-kg object experiences a 10-N force for a duration of 0. 10-second then the impulse exerted by the force on the object would be 1 Ns, and the change in the momentum would be 1 Ns.
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What are Two methods of producing A.C Electricity ?
Answer:
hydropower and nucear energy
Explanation:
Examples of these include hydropower, fossil fuel-based power, nuclear energy, and solar thermal power plants, among others. Almost all major power plants generate alternating current, as do diesel generators
how many kids under the age of 21 are drinking and smoking in the us and California combined
Answer:
Well I don't think there is a specific answer for that, but a lot of under the age children do drink and smoke,because these days,their parents either don't care, and some just don't know about it. Many kids drink and smoke these days and I don't think there is a on point percentage.
Explanation: Hope this helps and have a good day!!!
Answer:
See the chart below! :)
Explanation:
See the chart below! :)
Answer it or you are bad in physics
Answer:
1.water evaporates from the sea
2.water rises in warm air
3.water vapor is cooled and form clouds
4.clouds move and water falls on land as rain
5water travels along a rive to the sea
Explanation:
and that is how the water cycle works
4. An archer pulls a bowstring back 0.440 m, and the spring constant of the bow is 545 N/m.
a.) Find the amount of work the archer did to draw the bow.
b.) Find the speed an arrow of mass 0.060 kg will have when it is shot from the bow.
Assume no losses from friction
Answer: (a)part:545nm multiply by 0.440m=239.8JEWELS(J)
(B):1/2MULTIPLY BY MVSQUARE(APPLY THE FORMULA OF KINETIC ENERGY)REARANGE THE FORMULA,V=2.13MS
Explanation:
SO FOR PART A, IN ORDER TO CALCULATE THE WORK DONE YOUR SUPPOSE TO APPLY THE FORMULA FORCE MULTIPLY BY DISTANCE WHICH IS THE FORMULA FOR WORK DONE,IN THIS SCENARIO YOU HAD A FORCE OF 545NM AND A DISANCE OF 0.440,SO I ORDER TO FIND THE WORK DONE WE MULTIPLIED THEM BOTHE ACCORDING TO THE FORMULA AND GOT THE ANSWER.
FOR PARTB,I JUST SIMPLY APPLIED THE FORMULA FOR KINETIC ENERGY AND SIMPLY REARRANGED IT IN ORDER TO FIND THE VELOCITY.I MADE V THE SUBJECT OF THE FORMULA.
What is current of 12 ohm? help me pleasee
what is the medium for an ocean wave? Provide evidence that the medium is not transferred when a water wave moves on a lake
The medium for an ocean wave is the ocean water which involves movement on the water body.
What is a Medium?This is defined as a substance or material that carries the wave. In the case of ocean waves, the medium is referred to the ocean water.
The medium is not transferred when a water wave moves on a lake as energy is transported but the water molecules aren't which is why lakes have water present in them.
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Pure substances can be made of atoms that are attracted to each other or atoms that are not attracted to each other. Which type of pure substance can create elaborate structures? (1 point)
Atoms that are attracted to each other because the bonds that form between them can support the creation of the structure.
Atoms that are attracted to each other because they will mix together to form a mixture with a different structure.
Atoms that are not attracted to each other because they will form bonds with each other and create a larger structure.
Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.
Answer: atoms that are attracted to each other because the bonds that form between them can support the creation of the structure
Explanation:
what are some natural sources of greenhouse gases
Answer:
Sources of greenhouse gases
Natural sources include respiration and decomposition of plants and ocean release of greenhouse gases to the atmosphere. Many natural GHGs occur naturally in the atmosphere, such as water vapour, carbon dioxide, methane and nitrous oxide. Some greenhouse gases are synthetic, human-made.
After hearing about an accident on his normal route, mr. gujral checks for alternate routes to get to work. what type of circuit does this traffic situation model? a series circuit because there is more than one path a series circuit because there is only one path a parallel circuit because there is more than one path a parallel circuit because there is only one path
The type of circuit does this traffic situation model will be a parallel circuit because there is more than one path.
What is a parallel circuit?A parallel circuit has branches that split the current such that just a portion of it passes through each branch.
The voltage or potential difference between each branch of a parallel circuit is the same, but the currents might differ.
A parallel circuit is having more than one path in order to reach it on time he has to take a different path.
Hence the type of circuit does this traffic situation model will be a parallel circuit because there is more than one path.
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Answer:
C) a parallel circuit because there is more than one path
Explanation: edge
A bowling ball pushes a pin down. What is the reaction force?
A. The pin pushes back on the bowling ball.
B. The lane pushes back onto the bowling ball
C. The lane pushes back onto the pin
A concave makeup mirror has a radius of curvature equal to 40 cm. How far away must your face be from the mirror so that your virtual image is twice the size of your actual face?.
Answer: 10 cm
Explanation:
[tex]$$The focal length is: \\ \\ \begin{aligned}f &=\frac{R}{2} \\&=-\frac{46}{2} \\f &=-20 \mathrm{~cm}\end{aligned}$$[/tex]
[tex]$$ Since the image is virtual: \\ \\ :\begin{aligned}\frac{v}{u} &=m \\\Rightarrow & v=m u \\\Rightarrow &v=2 u\end{aligned}$$[/tex]
[tex]$$ Using: \\ \\ \begin{aligned}&\frac{1}{l}=\frac{1}{v}+\frac{1}{u} \\&\frac{1}{20}=-\frac{1}{2 u}+\frac{1}{u} \\&\frac{1}{2 u}=\frac{1}{-20} \\&\Rightarrow u=-10 \\&\therefore u=10 \mathrm{~cm}\end{aligned}$$[/tex]
Therefore, you must be 10 cm away from the mirror so that your virtual image is twice the size of your actual face
In general, which of the following is not a critical skill for participating in a sport? a. agility and balance b. endurance and muscle control c. hand-eye coordination and acuity d. none of the above please select the best answer from the choices provided. a b c d
Option D is not a critical skill for participating in a sport.
What are sports?Sport refers to any competitive physical activity or game[1] that intends to utilize, maintain, or enhance physical ability and skills while also giving enjoyment to players and, in certain situations, entertainment to spectators.
Agility and balance are crucial in sports such as soccer, especially when players dribble the ball at rapid speeds.
Endurance and muscular control are critical in sports such as gymnastics and boxing.
Hand-eye coordination and acuity are essential in sports like golf.
Hence Option D is not a critical skill for participating in a sport.
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Answer:
D
Explanation
If a FM radio station broadcasts at 80. 3 MHz (megahertz), what is its wavelength in m (speed of light 3. 0 x 108 m/s)
Answer:
Wavelength = 3.74 m
Explanation:
In order to find wavelength in "metres", we must first convert megahertz to hertz.
1 MHz = 1 × 10⁶ Hz
80.3 Mhz = x
x = 80.3 × 1 × 10⁶ = 8.03 × 10⁷ Hz
The formula between wave speed, frequency and wavelength is:
v = fλ [where v is wave speed, f is frequency and λ is wavelength]
Reorganise the equation and make λ the subject.
λ = v ÷ f
λ = (3 × 10⁸) ÷ (8.03 × 10⁷)
λ = 3.74 m [rounded to 3 significant figures]
How you get a bucket of KFC past airport security?
Answer:
I am not sure in regards to other countries but USA let's anyone allow to take fried chicken.
Explanation:
Yes, the Transportation Security Administration (TSA) will allow you to bring fried chicken through airport security in your carry-on baggage. You can bring both homemade and takeout fried chicken through the TSA checkpoint. If the fried chicken isn’t already pre-packaged, it should be wrapped or placed in a resealable bag or container with a secure lid. There is no limit to the quantity of fried chicken you can bring in your carry-on: You can pack as much fried chicken as you’d like and will fit into your allowable hand luggage.
According to Newton's second law for rotational motion, an object's angular
acceleration equals the
(A) net torque multiplied by the moment of inertia.
(B) net moment of inertia divided by the net torque.
(C) net torque divided by the moment of inertia.
(D) net torque added to the moment of inertia.
Answer:
C: Net Torque divided by Moment of Inertia
Explanation:
Torque = Moment of Inertia x Angular Acceleration.
According to Newton's second law for rotational motion, an object's angular acceleration equals the net torque multiplied by the moment of inertia, not divided by it. The correct answer is (A)
Mathematically, it can be expressed as:
Angular acceleration (α) = (Net torque (τ) / Moment of inertia (I))
Where:
α = angular acceleration (measured in rad/s²)
τ = net torque (measured in Nm or kgm²/s²)
I = moment of inertia (measured in kgm²)
This equation shows that the angular acceleration of an object is equal to the net torque applied to it divided by its moment of inertia. So, the correct answer is (A) net torque multiplied by the moment of inertia.
To summarize, Newton's second law for rotational motion states that the angular acceleration of an object is directly proportional to the net torque applied to it and inversely proportional to its moment of inertia. The moment of inertia represents an object's resistance to changes in its rotational motion, while the net torque represents the total rotational force acting on the object.
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Assume that a gravitational anomaly in the solar system has shifted a field of asteroids into Earth’s orbit, and the field is now moving directly towards Earth. The asteroid field has a density of rho (asteroids/volume), and each asteroid has an average mass of m. The asteroid field stretches over a distance d in Earth’s path. Assume that the Earth moves with a velocity of v, the asteroids with u, and that be the radius of the Earth. The Earth collides with the asteroid field:
Show that the slow-down ∆v of the Earth due to the asteroid collisions is given by:
Answer:
An asteroid is a minor planet of the inner Solar System. Historically, these terms have been applied to any astronomical object orbiting the Sun.
Is it possible For dogs to be gray
Answer:
Yes, it is possible for dogs to be grey
Explanation:
Whippets are gray and they are a type of dog
Answer: Like humans, dogs tend to go gray as part of their natural aging process.
Explanation: Just like us, humans, dogs tend to go gray as part of their natural aging process. And just like us, as dogs get older, the pigment cells responsible for color (specifically, melanin) stop being produced; this causes the strands to come out at a lighter shade, like gray or white.
Hopes this helps you out!
Have a nice week!
The cooper family hijacks a UAV (Unmanned Aerial Vehicle). What do you know about UAVs and how they are used today?
Interstellar movie☝️
Interstellar is a movie about the human race being faced with a
civilization ending blight. A small group of brave individuals explore
possible new habitable worlds for humans. The following questions
will help guide you through the movie and hopefully get you
thinking about the future.
1. The Cooper family hijacks a UAV (Unmanned Aerial Vehicle).
What do you know about UAVs and how they are used today?
2. While at the parent-teacher conference, Murphy’s teacher
mentions that the Apollo program -- the same program that
landed humans on the Moon -- was just propaganda to
convince the Soviet Union to bankrupt themselves trying to do
the same. The reason for this was to encourage children to
take care of their own planet, rather than wasting precious
resources day dreaming of leaving it. Which side of the fence
would you sit on? Would you look for ways to save Earth and
our ability to stay there, or would you look to the sky, and find
a new planet to live on? Why?
3. A) What natural disaster(s) is Earth suffering from in the beginning of Interstellar?
B) If one of these happened now what actions would you take to protect yourself?
4. Cooper, Doyle, Romilly, and Dr. Brand (female) rendezvous with the Endurance in orbit around Earth. Once
onboard, they begin to spin the Endurance. Why? (Think about the physics happening here!) Draw a diagram.
5. Why or why isn’t space exploration important for the people in the movie interstellar? Why or why isn’t
space exploration important in today’s society? Defend your answers.
6. Explain time dilation as best as you can.
7. A) Estimate how long Dr. Mann went without human contact while on the ice planet:
The Lazarus mission was __________ years ago. It takes _______ years to get to Saturn from Earth. Cooper
and Dr. Brand were on Miller’s planet for approximately __________ years. This means the total time Dr.
Mann went without human contact is: ___________ years.
B) Consider the longest time away from human contact you've experienced. What did you do to keep yourself
occupied?
Useful Vocabulary
Blight: A specific symptom affecting plants in
response to infection by a pathogenic organism. The
potato famine of Ireland was caused by blight.
Event horizon: Is a point in which not even light can
escape the gravitational influence of the black hole.
Maroon: The intentional action of leaving someone
in a remote area such as an inhabitable island.
Rendezvous: When two objects meet and typically
dock together while in space.
Time dilation: A difference of elapsed time between
two events as measured by observers either moving
relative to each other or differently situated from
gravitational masses.
UAV: Unmanned Aerial Vehicles are remote
controlled or autonomous flying vehicles.
Unmanned aerial vehicles (UAVs) are typically used for a variety of purposes such as:
Monitoring and surveillance.Remote sensingPhotographyDisaster responseWhat is an unmanned aerial vehicle?An unmanned aerial vehicle (UAV) is also referred to as a drone and it can be defined as an aircraft that is designed and developed to be piloted or controlled by a remote control (ground-based controller) and on-board computer systems.
This ultimately implies that, an unmanned aerial vehicle (UAV) is a class of aircrafts that can fly without any human pilot, cabin crew, or passengers on board.
In conclusion, unmanned aerial vehicles (UAVs) carries no human pilot and are typically used for a variety of purposes such as:
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10. In the process of fusion, nuclear energy is
A. absorbed when a nucleus splits.
B. released when a nucleus splits.
C. released when nuclei join.
D. absorbed when nuclei switch places.
Answer:
B released when a nucleaus splits
If a fast-moving car making a loud noise approaches and moves past a person, which of the following will happen as the distance between the two increases?
A) The pitch and frequency of the sound waves reaching the person's ear will remain unchanged.
B) The pitch of the sound being heard by the person will appear to be lower than the pitch of the source.
C) The frequency of the sound waves reaching the person's ear will be greater than the frequency of the waves leaving the car.
D) The pitch of the sound being heard by the person will appear to be higher than the pitch of the source.
Answer:
(B) Probably - Pitch will appear to be lower than the source
Pitch differences occur because of relative motions between the source and observer - it does not depend on distance measurements
Answer:
(B) Probably - Pitch will appear to be lower than the source
Pitch differences occur because of relative motions between the source and observer - it does not depend on distance measurements
Explanation:
A block of mass m is suspended from two identical springs of negligible mass, spring constant k, and unstretched length l
The equation that shows the relationship between X₁ and X₂ in the springs is X₁ = 4X₂.
How to compute the equation?From the complete question, for case I, the two springs stretch up to the distance of X₁. Therefore, f = mg = kx₁.
For case 2, f = mg = kx₂.
Therefore, we'll equate the equations. This will be:
Kx₁ = Kx₂
(K/2)x₁ = (2k)x₂
K(x₁/2) = k(2x₂)
X₁/2 = 2x₂
X1 = 2 × 2x₂
X₁ = 4X₂.
In conclusion, X₁ = 4X₂.
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X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
For case 1;
f=mg=kx₁
For case 2;
f=mg=kx₂
After equating the equation we get;
[tex]\rm Kx_1 = Kx_2 \\\\ \frac{K}{2}x_1 = (2k)x_2 = k(2x_2) \\\\ \frac{x_1}{2} =2x_2\\\\ x_1 = 4x_2[/tex]
Hence X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.
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Which of the following is an example of the Doppler effect?
A. Two identical musical instruments being played next to each other will produce a sound twice as loud as if only one were played.
B. The siren of a police car sounds different when the car is coming toward you than it does when it passes you.
C. A hiker shouts "hello" into a canyon and hears it repeated back several times before it fades away.
D. Vibrations from a tuning fork pass through the air and cause a nearby dish of water to produce ripples of the same frequency.
b is your answers in this thread
With a class 1 lever, does mechanical advantage increase or decrease as the fulcrum is moved closer to the load? Explain why.
Answer:
L1 F1 = L2 F2 explains balancing torques
F1 = load = counterclockwise torque
F2 = applied force - clockwise torque
L represents distances from fulcrum to the applied forces
F2 = F1 * (L1 / L2) (I)
MA mechanical advantage = (L2 / L1) load over applied force
We can rewrite equation (I) as
load force / applied force = applied distance / load distance
As the fulcrum is moved closer to the load L1 decreases and L2 increases which corresponds to an increase in MA