# Questions tagged [rotation]

Circular motion about a central point or axis

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In Group Theory by Morton Hamermesh, he states on page 32: For a body of the finite extension, a molecule or the macroscopic form of a mineral, only the first two symmetry types [rotation, reflection]...
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### Rotating a lever — small end has more force but less speed?

Suppose I have a massless lever with two masses at the ends and a fixed pivot as depicted below. Assume no gravity in this scenario. Further, let's say object $B$ is closer to the pivot, so $r<R$. ...
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### Does the angular velocity of a rigid body equal to the angular velocity about an axis plus the angular velocity of the axis?

If so, how to prove that relation?
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### How to comprehend the fact that parity is an improper rotation in the odd dimension, but not in the even dimension, physically?

Some "clarification" To begin with, I'm not even talking about relativity so, in the following, rotations always act on the Euclidean space or only the space subpart of the Minkowski space. ...
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### How the object rotates?

Why the object actually rotates ? When I researched about this topic , I have gotten satisfying answer from here: Why do object rotate at all? All the atoms and molecules of the object are connected ...
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### For rotational equilibrium of a rigid object, about which point does the torque of the body have to be zero?

In the definition of rotational equilibrium for a rigid body, the net torque about a point has to be zero. Now, about which point will the torque be calculated? Will it be the centre of mass or centre ...
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### Why do we use moment of inertia about centre of mass to calculate rotational KE in rolling without slipping?

Say we have a cylinder rolling without slipping on a horizontal plane: Now, the instantaneous centre of rotation is P, so we can use $v_A=\omega \ r_{AP}$ to find the linear velocity of the centre ...
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### Does the angular velocity of a rotating rod change when its axis of rotation changes?

If a rigid rod of length $l$ rotates on one end around the origin with an angular velocity of $\omega$ and suddenly the end fixed to the origin is released allowing the rod to move freely without any ...
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### Gravitational wave propagating in $x$-$y$ plane with angle $\theta$ with $x$-axis

I am going to ask a question related to a paper called "Spin angular momentum of gravitational wave interference" which its link is: https://doi.org/10.1088/1367-2630/abf23f. My question is ...
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