Questions tagged [rigid-body-dynamics]

Question 1

I am studying some material about rotating frames and I need to compute the following quantity: $$\frac{d}{dt}R(t)=\frac{d}{dt}e^{\vec{\theta}(t)\cdot \vec{J}}$$ where $\vec{J}$ is the 3-tuple of the ...

Question 2

The kinetic energy of a fixed, rotating rigid body is $$ T =\frac{1}{2}\mathbf{\omega}\mathbf{I}\mathbf{\omega}=\frac{1}{2}I_{xx}\omega_x^2 +\frac{1}{2}I_{yy}\omega_y^2 + \frac{1}{2}I_{zz}\omega_z^2 + ...

Question 3

When a coin is tossed in the air by applying an impulse at some distance from the Centre of Mass (centre of ring), it will start rotating and move up vertically as well. Can we say that the coin will ...

Question 4

I've been trying to work on a car in a game, of course, this is a physics forum and my question is how does a car torque and angular velocity even work? Consider this, a user pressed the W key and the ...

Question 5

I rolled an American football down a gentle slope of about 10°. Regardless of how I started it, after some distance, it tended to roll around the short axis ($y$-axis). I expected it to roll around ...

Question 6

Imagine a fixed vertical cylindrical pole, with a rigid ring in loose contact around the pole. I hold the ring in place so that it's initially stationary against gravity (pointing down parallel to the ...

Question 7

I’m exploring a classical mechanics question about how physical constraints might remove randomness from a system. Consider a coin dropped from a very low altitude directly above a perfectly flat ...

Question 8

When reading my textbook's chapter about angular momentum, I was told to consider the situation that is described in the diagram below. My textbook stated that if the connecting rod with masses on ...

Question 9

In Steve Mould's turntable paradox video (time 2:08 to about 2:50) he places a pool ball on a turntable while gently holding it in place allowing the ball to get up to the same speed as the turntable, ...

Question 10

What is the period of this solid disk as it rocks on a flat surface? In terms of the disk's mass (M), gravity (g), diameter (D), and moment of inertia (I)? Please show how to derive and calculate I ...

Question 11

I'm learning about moment of inertia for the first time in the prep work set by my university before term starts (I'm going into first year in a few weeks). And as I understand it, it's basically the ...

Question 12

It has been suggested I ask this here instead. I've read the standard result for a rigid body that rolls without slipping down an incline of angle $\theta$: $$ a \;=\; \frac{g\sin\theta}{1+\dfrac{I}{...

Question 13

I saw a video about the Euler's Disk and the oscillation and rotation in between are standard classical mechanics, where even the axis of rotation are known from the standard textbook materials. ...

Question 14

I'm currently studying rigid body kinematics, I'm using a book called "Analytical mechanics" (translated from italian) by Fasano and Marmi. In section 6.3 it is told the following theorem: ...

Question 15

Some time ago I've tried to model a coin using Euler Angles and Lagrangian Mechanics. Here it is the post. I've revisited the model motivated by the following paragraphs of Goldestein Classical ...

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Questions tagged [rigid-body-dynamics]

Is angular velocity parallel to the axis of rotation when it is changing in time?

How is using the principal axis frame in the Lagrangian allowed?

Will a Coin rotate always about its diameter/com when Tossed?

Help with car physics [duplicate]

Football rolling down a hill

Friction of a ring around a vertical pole

Can a spinning coin at low altitude lose its randomness when colliding with a flat surface?

Why does a rotating, asymmetrical system tend towards a state that is symmetric?

Steve Mould's turntable paradox confusion

Period of a Oscillating Disk [closed]

Help understanding moment of inertia [closed]

Dynamics of Snail Balls 🐌🔵

How to analysis the discontinuous motion of the Euler's Disk?

Instantaneous axis of motion

Angular velocity. Body vs global reference frame

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