# Questions tagged [rigid-body-dynamics]

The study of the movements of a collection of connected bodies subject to external forces in the absence of deformation. This tag should be used for questions on the analysis of 2D/3D dynamics of rigid bodies, do NOT use this tag because your question contains a rigid structure.

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### Simulating joints in rigid body physics

When simulating rigid body physics with joints(say unconstrained for simplicity) you normally have a constraint force binding the two objects together applied at the point of the joint. This results ...
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### Is there a way to explain torque and Euler's Laws of Motion from Newton's Laws

If I have a rigid rod and I apply a force $\vec F$ distance $r$ away from the centre of mass the torque on the rod is $\vec r \times \vec F$ from the centre of mass and the torque causes the rod to ...
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### The horizontal components of velocities of two points in a rigid body must be equal but can we conclude that vertical velocities have to be equal?

Consider two points in a rigid body and their velocities at a particular angle to the horizontal. The horizontal components of velocities must be equal so as to satisfy the basic definition of a rigid ...
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### Integrating Kinematic equatioms with variable initial conditions

Suppose you have have acceleration and angular velocity for a rigid object but unknown initial orientation, velocity and position. Can you integrate the known data in such a way that it's easy to ...
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### Moment of Inertia of a gyroscope

I saw that the moment of inertia could be calculated for bodies as the addition of the sum of their parts, so I was wondering if it could be calculated for the gyroscope that is pictured below I was ...
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### IMU frame to body frame

I am thinking about this problem: My IMU is centered at point O, and my structural body is centered at point p. Points O and P are two points on a rigid body. Point P is always moving and its motion/...
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### Modelling the quintuple cork on snowboarding with Euler's rigid body equations

I'm currently brainstorming for my Math AA HL Internal Assessment (a kind of math investigation paper you must elaborate for the IB Diploma) and I've hit a bit of a roadblock. Snowboarding is a hobby ...
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### Two speeds of precession without nutation

I understand mathematically that when you look for solutions to the equations of motion of a spinning symmetric top with a constant inclination angle $\theta$, you get a quadratic equation with two ...
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### If the net external moment on a body about a point is zero

I was told that If net external moment of some forces is zero about a point, then the net external force passes through the point. I know it's not true in general, what was the special condition ...
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### Mathematical Derivation of the Condition of Equilibrium of a Rigid Body

We know that for a body to be in equilibrium, the resultant force and resultant torque must be both zero. The question is: can we derive this from more fundamental principles mathematically, such as ...
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### Confusion about relation between inertial an non-inertial reference frames in respect tto the motion of a rigid body

In "Analytical Mechanics" by N. A. Lemos, in page 99 the author determines the time derivative relation between an inertial frame $\Sigma$ an an non-inertial frame $\Sigma'$ fixed in a ...
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