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1 vote
0 answers
43 views

The stupidest question ever on relative kinematics and angular velocity [duplicate]

I am scratching my head on a very basic formula whose meaning escapes my intuition. On basically all texts of mechanics the following result is derived: Suppose that a rigid body is moving with ...
1 vote
2 answers
59 views

Euler Rotation Equations and invariance of vectors in different reference frames

Consider two frames, one which is inertial and the other one rotating w.r.t. to the inertial frame. Say there is a rigid body having angular momentum which is same/invariant in both frames. How is it ...
1 vote
1 answer
76 views

How does relative motion work for an extended object?

I have this conceptual doubt which might be flawed very badly but I don't understand this particular thing. For example, if one end of a stick is moving with velocity $v_1$ and the other with $v_2$, ...
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 ...
0 votes
1 answer
53 views

To find the displacement of a rolling body

When calculating the displacement of a rolling body do we just calculate the displacement due to Vcom in a particular time t or additionally need to consider also the displacement that may be produced ...
5 votes
7 answers
26k views

The Earth is spinning, so why don't we jump and land on a different location?

I know there are similar questions on StackExchange but I think it is different and detailed. The earth is spinning 465 meters/second so why don't we jump and land on a different location? I googled ...
3 votes
2 answers
117 views

Is there any video I can use to visualise why velocities change in moving rotating reference frames?

Suppose we have a car A moving along a straight path and another car B moving in a circular path. I know from the formula I have studied that the relative velocity of A as observed by B will not ...
0 votes
1 answer
282 views

Angular velocity of a particle in uniform circular motion about a general point

This problem was given by our professor. Consider a particle P executing uniform circular motion wrt the point O with uniform angular velocity $\omega$ anticlockwise whose cordinate is $(2R,0)$ in a ...
9 votes
5 answers
3k views

How can different points on a rigid body move with different speeds but also be relatively at rest?

For a rigid body rotating with a constant angular speed, the points near the axis must have lower linear velocity than the points farther away. If they have different linear velocities, they must have ...
0 votes
5 answers
493 views

Is rotational motion relative, as is linear motion?

In special relativity only relative velocity is what matters. A rocket and the universe can be in relative linear motion. In the rocket the universe is in motion. The universe got this motion when it ...
0 votes
1 answer
312 views

Relative angular velocity of one point with respect to another on a solid rigid body [closed]

What is relative angular velocity of A wrt B and that of A wrt C in the figure given below? Description: A, B and C lie on a solid cylinder(rigid body) rotating with a constant angular velocity $\vec{...
0 votes
1 answer
298 views

Relative velocity of a particle under uniform circular motion

The question is based on fairly simple mechanics principles but seems to have no definite answer. Suppose there is a point particle A at a point X and around it another particle B in uniform circular ...
1 vote
1 answer
67 views

A non-intuitive kinematics problem? [closed]

Ann is sitting on the edge of a carousel that has a radius of $6\ \mathrm{m}$ and is rotating steadily. Bob is standing still on the ground at a point that is $12\ \mathrm{m}$ from the centre of the ...
2 votes
1 answer
206 views

How can we find velocity, acceleration etc, of a revolving particle with respect to an observer inside the circle (not at center)? [closed]

A particle is revolving in horizontal a circle of radius $R$ with constant speed of $|\vec{v}|$ and constant angular velocity $\omega$. There is another observer standing inside the circle, at a ...
0 votes
2 answers
82 views

What are the necessary conditions for relative angular velocity to be defined? [closed]

I have certain doubts related to the definition of relative angular velocity .My textbook defines it in the manner given below:- $$\omega_{AB}=\frac{v_{AB}}{r_{AB}}$$ $\omega_{AB}$ is the relative ...

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