All Questions
12 questions
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2
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104
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How to calculate the velocity of a point on a rigid body that is both translating and rotating?
I'm trying to figure out a problem involving the motion of a rigid body in 2D. The body has:
A translational velocity $\mathbf{v} = (v_x, v_y) $ at its center.
An angular velocity $\omega$ around its ...
2
votes
3
answers
126
views
Angular velocity basics
Is angular velocity only defined for circular motion or can it be described for lets say projectile motion as well?
0
votes
1
answer
193
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Zero acceleration in circular motion while the body is accelerating
I was going through László Holics book (300 Creative Problems in Physics) and came across this question:
The radius of the tire of a car is $R$. The valve cap is at a distance $r$ from the axis of ...
0
votes
1
answer
93
views
Is this motion rotation or curvelinear translation?
Arrow orbit around point C like graph show.
Is motion of arrow, rotation or curvelinear translation according to physics definition?
What is definition and types of translation and rotation?
I find ...
- 730
0
votes
1
answer
110
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Trajectory of particle thrown from the center of rotating frame of reference
So we have a rotating platform with two frames o reference: the one which is static, $O:\{x,y,z\}$, and the one wich is rotating along the platform, $O':\{x',y',z'\}\ (z\equiv z')$. The platform is ...
- 420
-1
votes
1
answer
42
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Angular momentum and General Plan Motion
Let us consider a general body, having both translation and rotational motion. Let O be the origin, and C be the center of mass of body. Total mass of body is $M$
Let us take small point mass $m_i$ in ...
- 2,062
0
votes
2
answers
150
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Velocity of a car relative to the center of the Earth
If we approximate the Earth's circumference to be $40,075\;km$ we could say that the the amount of time it takes for a full rotation is about $24\; hours$. We could then approximate the rotation of ...
0
votes
2
answers
465
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Angular velocity to linear velocity Modern Robotics textbook
In the second to last sentence, I have no idea how $v = (2,0)$ was calculated. Can someone derive this for me in detail, or with a picture?
- 202
-1
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2
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743
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Derivative of transformation matrix for 6-DOF dynamics
I'm implementing a planner for a 6-DOF underwater robot and I'm using the dynamics derived in chapter 7.5 of Fossen's HHandbook of Marine Craft Hydrodynamics and Motion Control. I'm using the ...
- 1
1
vote
1
answer
708
views
After what time, the configuration will repeat? [closed]
A ball rotates at a rate $r$ rotations per second and simultaneously revolves around a stationary point $O$ at a rate $R$ revolutions per second $(R<r)$.The rotation and revolution are in the same ...
- 11
1
vote
2
answers
377
views
Angular velocity of a body observed from a frame of reference fixed on the body
I have a body and the reference frames, one is the inertial reference frame O-xyz, the other is a non inertial reference frame O'-x'y'z' fixed on the body.
The angular velocity vector of the body ...
- 297
2
votes
1
answer
1k
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Newton-Euler equations in frame not centered at center of mass [duplicate]
I'm having trouble with a step in the derivation of the Newton-Euler equations for rigid body translation and rotation when the body frame is not centered at the center of gravity.
The Newton-Euler ...
- 133