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0 votes
2 answers
90 views

Does relative motion allow for speeds $>c$?

If motion is relative, (so if X was stationary and Y was moving at v m/s, we could think of this as Y being stationary and X moving at -v m/s), could we not create a scenario in which a stationary ...
2 votes
1 answer
270 views

Having trouble deriving the exact form of the Kinematic Transport Theorem

The Kinematic transport theorem is a very basic theorem relating time derivatives of vectors between a non rotating frame and another one that's rotating with respect to it with a uniform angular ...
0 votes
1 answer
98 views

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 ...
1 vote
2 answers
250 views

Centrifugal Force & Rotating Frames [duplicate]

In Thornton & Marion's Classical Dynamics, the following relation is given for the rate of change of an objects position in the two coordinate systems (according to the picture shown at the bottom)...
0 votes
1 answer
209 views

Will the plane of oscillation of a pendulum change if I rotate the suspension point

I'm having trouble understanding Foucault pendulum and from that I've extracted one of my doubt and here it goes: A pendulum on a fixed platform is shown Now if we rotate the platform as shown Will ...
0 votes
2 answers
428 views

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?
4 votes
4 answers
2k views

Is rotation absolute? [duplicate]

I was reading an article that rotation instead of linear motion is absolute. Can anyone explain why? Shouldn't an observer (A) moving in a circle around a point in an object that rotates (with respect ...
9 votes
2 answers
5k views

How do I transform onto a relativistic rotating frame of reference?

In classical mechanics, the usual formula to translate the evolution of a quantity as seen from an inertial frame of reference to a rotational frame is: $$\frac{d \textbf{A} }{dt} \vert_{Inertial} = \...
0 votes
2 answers
493 views

Uniform circular motion & relative velocity

Consider a car moving along a straight horizontal road at constant speed, $v$. Also consider one of the tyres/wheel of the car. On it, there are two particles of dust $A$ and $B$ (as shown in the ...