# Tag Info

1 vote

### How does force vector affect rotation and translation?

Situation 3. There is only one vector, placed on the edge of the object, perpendicular to the center. Will it result only in rotation No. It will result in rotation plus translation since there is a ...
• 73.8k

### How does force vector affect rotation and translation?

Situation 3: there is a net vertical force, so there will be vertical motion. And there is a net torque about the center of mass, so there also will be rotation. That's why it's a combination of (1) ...

### Is rotation invariant under gravitational time dilation?

is vertical rotation an invariant in general relativity or not? The answer is no. Let's consider an analogy of the huge Ferris wheel in strongly curved spacetime. Imagine we have a large powered ...
• 6,217
1 vote

### Choice of Generalized Coordinates

I wanted to post my own answer, inspired by that of Refik Mansuroglu. Let $\theta$ be the angle down the slope the wheel has rolled and let $\phi$ be the counterclockwise angle through which the wheel ...

### Can two particles ever be in equilibrium under their mutual gravitational forces alone?

There is no static equilibrium, but you can have a dynamic equilibrium (in Newtonian gravitational physics). To prove that there is not static equilibrium, observe that this would require a local ...
• 59.6k

### Can two particles ever be in equilibrium under their mutual gravitational forces alone?

If you define equilibrium as having a net zero force on the system, then any gravitational system (or in fact any system as we know it, barring nonlinear systems like black holes or the strong force ...
• 707

### Can two particles ever be in equilibrium under their mutual gravitational forces alone?

Yes they can. If one particle is a hollow structure of suitable shape such that it has a constant internal potential with the second particle small enough to fit in inside, there can be equilibrium. ...
• 25.3k
Accepted

### Rolling ball on a surface with friction

Adding friction to the model is also easy - the frictional force depends on the normal force through the coefficient of friction, $F_f = \mu N$ You need to be careful to differentiate between static ...
• 73.8k

### Rolling ball on a surface with friction

On an inclined plane, problem would be very similar to the ones without any rotation, the only differences would be static friction and torque. In the case of rolling without slipping (case where the ...
1 vote

### Do off-centre forces create additional energy?

There is a standard demonstration in which an off-centre force is provided by a string wrapped around a cylinder on a air-table. Another string is connected to the c-of-mass of an otherwise ...
• 54.6k
1 vote
Accepted

### Coriolis force on a particle moving on sphere

Considering only Earth rotation around its axis with angular velocity $\boldsymbol{\Omega}_E = \Omega_E \mathbf{\hat{z}}$, you're right that at the equator there is no Coriolis force on a point that ...
• 10.7k