Questions tagged [gyroscopes]

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Angular momentum and torque in gyroscope

In my textbook (Kleppner), the principle of a gyrocompass is given to be "A flywheel free to rotate about two perpendicular axes tends to orient its spin axis parallel to the axis of rotation of the ...
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1answer
32 views

Rotation of top of symmetries

while learning about rotation, I started to wonder what forces will come into play. Lets picture a top with two masses centered at (-1,0,-1) and (1,0,1) with rods connecting the masses directly to the ...
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Quantifying gyroscopic stiffness against external torque

How can I calculate the gyroscopic stiffness of a given rotating mass? e.g.) if we have a system like this: youtube:gyroscopic precession where a gyroscope is held up on one end, and freely ...
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Do configurations other than something rotating around an axis exhibit spatial stability like a gyroscope?

I know this question is likely confusing, I was wondering if a fluid traveling in a parabolic tube would create a system that would hold spatial orientation similar to a gyroscope, or does the fluid/...
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1answer
57 views

What happens to a gyro inside a gyro? [closed]

What would present for a gyroscope within a larger gyroscope? Any interesting behaviours? Thanks
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Gyroscopes and Conservation of Angular Momentum

Let's begin by insisting that angular momentum is conserved everywhere and at all times. Since it is a vector quantity, direction matters. Consider a gyroscope on the end of shaft, the other end of ...
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71 views

Is the Earth a gyro?

Due to rotation and low friction, can the Earth be considered a gyroscope? If so, any interesting implications to this? Thanks
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Nutation angle calculation of spacecraft

I need to calculate the nutation angle of a spacecraft for different timesteps. I have a file which gives me the angular velocity $~w = (w_x,w_y,w_z)~$. When no torque is applied, the inital angular ...
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Nutation Angle calculation out of attitude Data

I have a rocket body with given Euler Angles, Quaternions and Angular-Velocities for given time steps. And I'd like to calculate the Nutation-Angle for every time step, so that I can plot the cange of ...
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1answer
22 views

Can a Gyroscope be Used to Stop a Spinning Cable?

The scenario here is a helicopter attempting to hoist someone vertically into the air. When the person leaves the ground they begin to spin (sometimes slowly, other times quite fast if not stabilized ...
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2answers
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With respect to what does a Gyroscope maintain its orientation?

Assume ideal conditions, no friction, no energy loss in any form. Just an ideal gyro, in ideal conditions, spun into rotation and left alone. And placed somewhere on earth. From what I've read so ...
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Simulation of IMU gyroscope angular velocities

When you simulate the frame of a vehicle, you could have your velocity as $4\times4$ rotation/translation matrix and do Euler integration every frame. Now if you want to simulate IMU as well, it ...
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3answers
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Is flipping a coin is a stable rotation?

If I rotate a coin with dimensions: 10X10X1 about 1 of the big axes(10) in space, where there is no torque, will the rotation will be stable just like a frisbee or a football regular rotations are? ...
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1answer
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Calculating Reactive Gyroscopic Couple and its Relationship with the Attitude of a Rigid Body

Consider some rigid disk, (as an approximation for a propeller on an aircraft for instance), spinning about an axis through the center of mass of said disk with angular velocity ω. In terms of a ...
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33 views

Dynamics of Gyroscopic P recession

It is taught relatively early in classical mechanics that the precession of a top exists because when the body is spinning, the gravitation torque pushes the rotational axis (more accurately it pushes ...
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1answer
50 views

When is a gyroscope too slow for for a gyroscope?

I'm making a toy, partly to use a couple of ferrite ring magnets that I've liberated from a magnetron, and partly to see whether I'm capable of stabilising the control loops that will be required. ...
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Angular momentum and Gyroscopic precession of a top [closed]

A top is spinning in the counterclockwise direction as seen from above. Its axis of rotation makes an angle of 15º with the vertical. If frictional forces can be neglected, which of the following is ...
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1answer
76 views

Nutation frequency for a weighted gyroscope

So, I've been led to believe that the frequency of nutation of a gyroscope can be calculated using the formula In which the I's are the moments of inertia around the principal axes and omega-3 is the ...
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1answer
55 views

What is the rate at which a precessing top falls over?

From the following equation from hyperphysics, as rotational speed $\omega$ decreases, precession speed $\omega_p$ increases. However, from what we observe physically, as rotational speed of the top ...
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Query about why there is a torque on this spinning ring in a magnetic field

We learnt in class that the $\vec m\times \vec B$ is the torque of a current loop in a magnetic field. I was trying to understand this by considering the diagram above. Let the B field be pointing in ...
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Looking for ways to transform time-series data recorded from object movement into equation describing the movement direction of the object

Looking for some time-series data transformation advice! I want to know what's the best way to transform data of 9-tuples time series data of IMU (Inertia Measurement Unit) sensor, recorded from a ...
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2answers
57 views

Impulse on a Gyroscope

I've been studying gyroscopes, and I understand why a fast spinning gyroscope doesn't fall. However, I don't understand why a slow spinning gyroscope does fall, or why a large enough impulse to a fast ...
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What happens energy-wise if you put a gyroscope at the north pole?

I had an idea for energy generation: put a gyroscope at the north or south pole connected to a dynamo or similar. The idea was that when the gyroscope resists the Earth's rotation, it would drive the ...
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218 views

Why does the gyroscope not move upwards?

I have been watching a lot of videos on gyroscopes. Everything I see says there are two steps in gyro precession: Gravity pulls down imparting a torque The gyroscope moves forward It seems to me ...
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what happens when you put two gyroscopes on one an other?

if a gyroscope stays spinning where ever its out what happens when you put one on another one would they both drop to the floor spinning?
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1answer
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Is a reference frame fixed (without rotation) on a precessing gyroscope an inertial frame of reference?

Let's say we put a human in a closed chamber which is going around a certain point at distance d from its center of mass at some angular velocity w. The centrifugal force on a human will be w squared ...
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63 views

A spinning pendulum [closed]

I just thought of a scenario : We rotate a sphere that is hanging from a string about vertical axis and then allow it to oscillate like a pendulum . Will its time period differ from a sphere ...
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Would you feel inertial forces if you were inside a precessing gyroscope?

If a gyroscope is placed orthogonality on an physical axis which is paralel to a gravitational field if you're in a reference frame of the gyroscope do you have to modify Newton's law?
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Gyroscopes - Uniform precession - Externam forces

Suppose that you have a gyroscope with revolution symmetry around a perpendicular axis $\bf{e}$ such that the inertia tensor of this gyroscope can be written: $${\bf{Jc}} = {A\bf{I}} + (\Gamma - A)\...
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1answer
85 views

Kinetic energy of a gyroscope toy [closed]

Why the energy only has rotational part $\frac{1}{2}I_1\omega_1^2+\frac{1}{2}I_2\omega_2^2+\frac{1}{2}I_3\omega_3^2$? The center of mass also moves in general.
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1answer
52 views

What happens when you try to turn a gyroscope with high torque?

I apologize for my lack of basic understanding of gyro-physics, I tried looking up internet, but couldn't find any answer for this particular question. I have been told that if I apply torque to the ...
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1answer
51 views

Gyroscopic precession on a friction-less surface

I am having trouble understanding the total energy for a heavy spinning symmetric top (Gyroscope) on a friction-less surface. I am trying to understand it via the Lagrangian of the gyroscope. My ...
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Lagrangian of the Euler equations - why are Lin constraints required?

The following equation describes the motion of a rigid body rotation, such as a gyroscope: $$ \frac{d\textbf{L}}{dt} ={\bf{\tau}}= \textbf{r}\times m\textbf{g}= {\omega}\times \textbf{L}$$ where $...
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Accelerometer readings

Good Night. I have a implemented a accelerometer, a gyro and a Magnetometer in raspberry pi. I want measure the linear acceleration (acceleration without gravity) but i don't know how to do it or if ...
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2answers
483 views

How is a perpendicular angular momentum origin in gyroscopic precession?

Assume in the given diagram, $\theta = 0$, for sake of simplicity Then, I understand there exists an initial angular momentum in the y-direction and a torque in the X direction of the gyroscope. This ...
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1answer
91 views

Does the weight of a spinning gyroscope change how much weight it can sustain (stabilize)

Hello I recently watched a video about gyroscopes and I wonder what changes the amount of mass it can keep upright. EDIT: I did search online but I couldn't find a website which explains this in a ...
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201 views

If a gyroscope is provided a torque in space, what will its motion be after the torque ceases to act?

As there will be no energy dissipation, where will the kinetic energy of precession go as the gyroscope can't precess in the absence of a torque? Thanks in advance!
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1answer
45 views

Stability of differently shaped gyroscopes

1) Would it be correct to state the following: "The longer the radial distance (the distance from the center of the gyro disc) and the lower the height from ground to disc, the greater the angular ...
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3answers
222 views

Is it possible to understand the Gyroscope Effect Intuitively?

A stationary wheel, with its axis tied only at one end, falls down, but a rotating wheel, with its axis tied only at one end, doesn't fall down. The explanation given everywhere is by the ...
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1answer
553 views

Gyroscopic precession - Angular momentum in vertical direction

In the classic example of gyroscopic precession, the wheel starts to process, and now acquires a angular moment also in the vertical direction. Initial angular momentum was in a single plane. The one ...
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1answer
269 views

How do I calculate size/weight/spinrate of gyro needed to pull with a certain amount of force?

I have a project.. I've got a survey leveling rod which is about 8 feet high, 2 inches in diameter and about 8.5 lbs in weight. I'm envisioning a pair of gyroscopes that attach to the center of the ...
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The flyby anomaly, rotation, and gyroscopes: help understanding the theoretical connection

The flyby effect in spaceflight is described in the question Is the Flyby Anomaly still a thing? It is an very small unexplained acceleration seen in some spacecraft trajectories during flyby ...
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1answer
68 views

Gyroscope physics

I'm not a physics student, but am attempting to better understand gyroscope physics. Also my first post here. So, I'm looking at this site, at the second diagram with F_1 and F_2, and reading the ...
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1answer
281 views

How does a gyroscope flip?

Consider a gyroscope which is hanging with a string. Is it possible to $flip$ the orientation of the a gyroscope by oscillating the point of suspension? How does it come out mathematically?
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Effects on Niven Ring Around Kerr Black Hole

Suppose I have a Kerr black hole (rotating, uncharged) and I build a giant ring (a "Niven Ring") around it. I am interested in two related scenarios (I am confused about the second, but am also ...
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How can non-body-fixed angular velocities can be approximated by co-moving ones?

When reading a paper about magnetic bearings, I have stumbled upon the following ansatz which I don't fully grasp (page 3): For a general body, the Euler equations are given in a body fixed ...
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1answer
649 views

The moment of inertia of a spinning gyroscope assembly

Moment of Inertia (MOI) is typically used to describe a rigid body, so I don't know how well I can express my question in those terms. However, it seems like the best framework for getting at my issue....
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2answers
213 views

Can/Does angular momentum apply a torque?

Context I'm a psychologist and I'm interested in perception of gyroscopic forces. For that reason, I'm having to think about many of the classic issues relating to gyroscopes in reverse. That is, ...
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1answer
130 views

How to relate spin speed and time in which a gyroscope falls beyond some angle?

Usually physics books calculate the precession rate of a gyroscope when its momentum wheel is spinning "fast enough." I am looking for an equation to calculate the wheel speed whereat a gyroscope "...
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1answer
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Could a weighted ball hung from center of cockpit serve as basic bank indicator?

I have always wondered what that string in the windshield of a glider was used for: https://en.wikipedia.org/wiki/Yaw_string Got me thinking. If you hung a weighted string from inside the cockpit (...