# Questions tagged [gyroscopes]

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### Problem based on gyroscope [closed]

I made two different approaches but the answers were not the same. 1st method $$Στ=dL/dt$$ $$τ=m(g+w)l$$ and $$L=mR²ω/2$$ (ω is angular velocity about own axis) hence $$ω=(g+w)l/((ω_p)*R²/2)$$ 2nd ...
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### Is there an equation to calculate how much force is needed to turn a gyroscope

You know gyros...the cool levitates at an angle thing...Well since its spinning its supposed to be very stable according to gyroscopic precision. So my question is - Is there an equation to find how ...
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### Can why gyroscopes don't fall be explained by conservation of energy?

you know how when you spin a gyroscope it supernaturally stays up even if you bend it over and its parallel to the ground? Well that was unbelievable so I did some math to see why this works. I tried ...
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### How do you calculate the processional torque of a gyroscope?

When you set a gyroscope rotating and you attempt to speed up the rate of its precession, the gyroscope resists by producing a counter torque. How do you calculate the strength of this counter torque?...
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### Rotational mechanics in a gyroscope question

I have a homework question about gyroscope rotation, but I will describe my confusion more specifically as follows: Below is the setup of the problem. I understand the concept that if the rotor is ...
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### Anti-gravity wheel?

So I was just watching some YouTube videos on a spinning wheel that seemed to "defy" gravity. The creator made two videos on it, the first showing the wheel, and the second with an attempt ...
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### Precession of Angular momentum of Symmetric Top

For a torque free symmetric top, is the angular momentum in body fixed coordinates in same direction as instantaneous axis of rotation? I know that instantaneous axis of rotation precesses about ...
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### What will be the radius of the circle of the rolling coin? Gyroscope task [closed]

I try to calculate the radius of the rolling coin. The task was found in physics book https://www.amazon.co.uk/General-Course-Physics-1-Mechanics/dp/5922102257 (only in Russian). But unfortunately my ...
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### What is the formula for gyroscopic rigidity?

Maybe I am using the wrong words when trying to search this. When a gyroscope is spinning it has a precieved rigidity when trying to turn it off of it's axis. What is the formula for this rigidity/ ...
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### How exactly does a control moment gyroscope work?

I've searched a lot, but have not been able to find a proper explanation for the working of a control moment gyroscope. Could someone please explain it to me, preferably with vectors?
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### Conserved quantities for the system consisting of an uniform spinning top

A uniform top of mass $M$ with its lower end fixed to the ground is rotating on its axis of symmetry with angular velocity $\Omega$, initially in a vertical position ($\theta=0, \dot \theta=0$). The ...
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### Will a rotating rigid disk precess in microgravity?

Given a wheel like a disk with some angular velocity $\omega$, will it precess in microgravity?
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### Gyroscopic forces due to counter rotating electric motors [closed]

I am currently working on a tilt rotor aircraft, for that I need to size a motor the applies the torque to swivel the propellers from a down facing position into a rear facing position. We are using ...
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### Can someone please explain Gyroscopic precession?

So I watched this video It is a fairly popular one by veritasium, and one that confused me. I was wondering if someone can cover the physics behind this in a intutitive and easy to understand manner. ...
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### Can you explain gyroscopic precession using only Newton's three linear laws without applying their angular cousins?

Is there an intuitive approach to understand gyroscopic motion based on Newton's laws without passing through angular momentum conservation?
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### The acceleration of gyroscopic precession

If we take the movement of a rotating gyroscope held horizontally at one end with a rope, then the rotational momentum of the gyroscope's spin exists, as well as the rotational momentum caused by ...
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### What happens to the motions of a gas if its container is attached to a gyroscopic stabalizer?

If you attach a gyroscopic stabilizer to a vehicle like a car, plane, or boat, you stabilize the entire vehicle, effectively increasing the inertia of the vehicle. My question is, what happens to the ...
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### Acceleration formula including various accelerations

I was learning about kalman filter, i got a problem with acceleration equation. In book, using below equation and written that it is a formula created based on dynamics. I want to know how this ...
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### Lagrangian of a precessing wheel: gyroscope in Lagrangian mechanics?

Let's consider this classical example: I would write the Lagrangian as the one of the spherical pendulum plus the rotational energy of the wheel, but I fail to see how the precession motion would ...
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### Why are the body axes of an axisymmetric body principal axes of inertia?

I am reading "Vector Mechanics for Engineers, Statics | Dynamics", 12th edition, by Beer, Johnston, Mazurek, Cornwell, Self. In section 18.3C Motion of an Axisymmetric Body Under No Force, the ...
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### Dual gyro system: will it resist a turning force?

Let's say there are 2 gyroscopes. Both are connected to the same frame (orange). Both are spinning at the same speed, but in opposite directions (red). If I spin the frame (green arrow), the gyros ...
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### How? Calculate torque from twisting a gyroscope

Please be patient, I'm not a physics guy. I'm building a robot that flips itself over using a gyroscope. The gyroscope spins horizontaly at first, then a servo changes the gyro's rotating axis, ...
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### Why does the axis of spinning tops rotate about a vertical axis?

I have noticed that when we make a top spin, the top itself rotates about it's own axis and at the same time its axis of rotation will be moving in circles. How to explain this? Why can't it simply ...
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### Gyroscope Equations of Motions

I want to compute the motion of a gyroscope system like in this figure to show the different motions for different initial condition and then study precession and nutation motions. The problem is that ...
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### Rotational Work-Energy Theorem and uniform precession of a gyroscope

For a gyroscope in uniform precession, what would happen if we suddenly turn off gravity? Will it stop precessing because there is no torque and so there is nothing causing the direction of the ...
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### Apply a force to a rotating wheel

Consider a wheel with the center point O of the wheel is fixed and rotating freely around an axis passing through O. Assume that it is spinning in the horizontal plane and that there is no force ...
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### Feynman Lectures: 20–3 The gyroscope

In the The Feynman Lectures on Physics, Volume I, Chapter 20, Section 3,The Gyroscope found here, Feynman wrote We note that when the wheel is precessing, the particles that are going around the ...
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### Does gimbal for education exist?

I have been looking for a gimbal for a long time. Something similar to what you see in the book. However, I have had a lot of problem to find something similar. All my search results end to %95: ...
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### Which way does a symmetric top precess and why?

I'm calculating the (instantaneous) rate of precession of a symmetric top (i.e. $I_1=I_2\neq I_3$) that is tilted at angle $\theta$ to the vertical if a torque $\vec{G}$ is applied, as shown below: ...
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### A query on the solution of a gyroscope with friction

I have been trying to solve the motion of a gyroscope with friction added, so that as in reality, its spin will slow down with time. My first naive attempt to add friction has run into trouble and I ...
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### Does the angular velocity of a wheel affect its height in this situation?

If there were no friction at all, and the wheel was spinning with some angular velocity in the initial picture shown below. Would the wheel stay perpendicular to the ground regardless of the angular ...
53 views

### Motion of a rigid body in three dimensions [closed]

I am doing this problem. My solution is different from the author's solution. Here is my solution: Choose a rotating reference frame Gxyz that Gx is the x axis in CS Fig 18.1, Gx is fixed, Gy and Gz ...
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### Gyroscope - Transform data to correct coordinate system

I have some data on linear acceleration ($m/s^2$) and angular velocity ($rad/s$) recorded from an electronic sensor over time. I realized that the sensor had been displaced in its position during ...
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### Gyroscope precession and Euler equations

I've been trying for so long to solve this problem, but the solution I have found isn't the one I expected. Basically, I have to solve Euler's equations for a gyroscope with a weigth at a distance d. ...
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### An expert opinion on controversial video appearing to defy Newton's Laws [closed]

I really want another answer to this question than just my own. As many people probably know the late Prof Laithwaite in the UK (a brilliant electrical engineer) made the error of wandering outside ...
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### Why can a gyroscope go upright for a while, after losing some energy?

There are many questions about gyroscopes, and this one: (Confusion about what happens when the rotating axis of a gyroscope is rotated) remind me of an odd behaviour of a toy gyroscope that I had. ...
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### Confusion about what happens when the rotating axis of a gyroscope is rotated

In A.P. French's Newtonian Mechanics, pages $684$ and $685$ , the author said the following about gyroscopes, If a gyroscope, mounted in its gimbal rings, is set spinning about a horizontal axis, ...
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### Angular Velocity of a point on a deflated tire (gyroscope measurement)

Before I do the experiment, I am a bit confused about the expected signals provided by a 3-axis gyroscope (angular velocities vs. time) mounted on the edge of a (slightly) deflated car tire when the ...
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### Question on flywheels and angular momentum [closed]

I've recently been exposed to gyroscopes in my physics class. We discussed flywheels in relation to the gyroscopic effect. I was wondering how the stationary flywheel scenario worked. Why is it that ...
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### How can I obtain $x$ and $y$ rotation of an object in its reference frame when it is rotated/measured from another frame of reference?

I am working with the gyroscope on a mobile device. The goal is to get the x and y rotation of my phone from its reference frame no matter the direction I am pointed in real-life along the z-axis in ...
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### Gyroscope without Initial Angular Velocity

I am currently studying gyroscope motion, and am confused about this one detail. Consider a non-spinning gyroscope right before it is released. Since it has weight $\vec{F}$ and displacement $\vec{r}$,...
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### What Is a Geometric Algebra Model For Compound Gyroscopes? [closed]

Since geometric algebra (quaternion, clifford algebra, etc.) intrinsically represents 3D rotations, I was wondering how one would model systems involving two or more gyroscopes. For example, ...
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### Angular momentum without any apparent torque

I have seen the bicycle wheel experiment which is the most basic demonstration of gyroscopic precession. I have a doubt in that demonstration. We give the wheel a spin, and when we let go, it starts ...
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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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### 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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### 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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### 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