The rigid-body-dynamics tag has no wiki summary.
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Degree of freedom paradox for a rigid body
Suppose we consider a rigid body, which has $N$ particles. Then the number of degrees of freedom is $3N - (\mbox{# of constraints})$.
As the distance between any two points in a rigid body is fixed, ...
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3answers
855 views
Direction of torque precession of a spinning wheel
Consider a spinning wheel, which is held up by one end of it's axis like this:
To explain why the change of angular momentum is directed as shown in the figure above, one usually says that there is ...
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2answers
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Extension to continuous in proofs of rigid body mechanics
I'm studying rigid body mechanics and I've seen several proofs of properties related to total angular momentum, kinetic energy, etc. that all regard discrete set of points. For example, to show that ...
2
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2answers
140 views
Rigid body dynamics of tossing of a coin
While tossing a coin, it is commonly experienced that you get a head, if you toss it up with the head side up, and a tails if you toss with the tails side up. Is there a mathematical proof of this ...
2
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3answers
229 views
how to represent the effect of linking rigid-bodies together?
I have 2 rigid-bodies (b1,b2) if i linked one to the other (as if they are conjoined together) , how to represent b1 effect on b2 and b2 effect on b1
Is there any LAW that affect the ...
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0answers
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What kind of shape has the lowest flutter wind speed?
What kind of shape has the lowest flutter wind speed and is the most unstable?
I mean for rigid body.
Thanks
Yes, I know many factors affect the flutter in a MSD system (for rigid body), however ...
1
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2answers
61 views
Deriving $T = F\ r = I\alpha$ for a rigid body
For a single point mass :
$\tau=F_{t}r=ma_tr=(m r^2)\alpha = I\alpha$
For multiple point masses bound together : $\sum \tau_i = (m_ir_i^2)\alpha = I\alpha$
But how do we go from that to $I\alpha = ...
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1answer
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Tennis serving machine— How does a spinning ball bounce?
I have an idea of making a tennis serving machine. I will briefly describe what it is:
The machine is configured to serve the ball at a fixed speed to the center of the left (or right) service court
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