All Questions
Tagged with degrees-of-freedom rotational-dynamics
13 questions
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Symmetry eliminates degrees of freedom
Consider a system of $n$ particles, such as isolated atoms, molecules, nuclei, and the solar system, with $3n$ degrees of freedom; why does translational invariance eliminate three degrees of freedom ...
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How can an object have more than 3 degrees of freedom?
In 1 of my robotics classes our professor told us that something can have up to 6 degrees of freedom:translation in the x axis , translation in the y axis,translation in the z axis,rotation around the ...
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What is the degrees of freedom (Lagrange equation) of two connected spool rolling down two inclines?
I'm quite confused as to how to use the Lagrange equation [second type] in a system which features a spool rolling down an incline. I think this particular example is quite representative of what is ...
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Number of Degrees of Freedom of a Rigid Body System - Proof
Let us define the number of degrees of freedom of a material system as
the number of scalar parameters needed to know the position of each particle of the system with respect to any inertial frame of ...
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Do angular equivalents of linear equations in physics reveal extra information?
First of all, This question is completely based on intuition and some concepts of mathematics. I have been thinking about this now for 5 months and haven't figured it out yet. I am beginner in physics ...
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Rotational equation for variable mass in Matlab/Simulink ignores relative angular velocity of the mass flow?
I am building a simulation using the Matlab/Simulink software. The software block I am using called 'Custom Variable Mass 6DOF (Euler Angles)'. This link provides the documentation of the simulation ...
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Degree of freedom of a Sphere
We all have learnt that a single atom posses 3 translational degree of freedom and no other. But it happen to be a sphere too. Is it correct to say that a sphere has 3 rotational degree of freedom? ...
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Does a "gimbal hinge" have the same degrees of freedom as a ball-and-socket joint?
I am trying to design a joint to 3D print and considering different models. One model was a traditional spherical ball-and-socket joint. However, due to production issues, I am considering other ...
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Degree of freedom in ideal and real case
what will be the degree of freedom of a massless rod, moving freely in space with a particle which is constrained to move on it? What is meaning of massless rod?
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Equations of motion
Say, I have a system at rest. I was wondering - how many equations of motion can the system have (without redundancy)? Well, I thought that equating the forces along 2 or 3 different axes would give 3 ...
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Why the time period cannot depend upon the angular velocity and angular acceleration of the pendulum?
To derive the time period $T$ of a pendulum using dimensional analysis it is assumed that it depends upon the mass $m$ of the bob, the length of the string $\ell$, the acceleration due to gravity $g$ ...
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What is the degree of freedom of pure rolling motion?
A cylindrical body is pure rolling, what will be the degree of freedom for it? I am confused between 2 and 1 if slipping occurs than it has 2 but in pure rolling there's no slipping so what will it ...
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Degrees of Freedom for an Asymmetric top
How many degrees of freedom does an asymmetric top have if it is rotating about a fixed point?What are the generalised coordinates used then?
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