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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 ...
JAY YADAV's user avatar
0 votes
1 answer
44 views

The locus of the velocity vectors of a boat navigating in the sea under the presence of a very strong wind?

I already asked a question very similar to this one here and I think the solution would not work when the boat navigates in the sea when a very strong wind blows. That is I am trying to find the ...
Majid's user avatar
  • 159
0 votes
0 answers
27 views

Unifrom circular motion along the horizontal plane

Imagine that a person is walking with a constant velocity along the horizontal plane and turns the fan on the filing into a circular motion. Then, after sometime the fan will achieve a constant ...
BigBunny's user avatar
1 vote
1 answer
59 views

Simple classical mechanics problem to compute minimum distance attained between two ships moving with constant velocity

I have been reading the book "A Course in Classical Physics 1 - Mechanics" by Alessandro Bettini. I have reached a problem in the first chapter that I am having trouble with. The problem ...
scipio's user avatar
  • 121
3 votes
3 answers
512 views

Relative velocity related to acceleration

Let's say we have a car moving on the horizontal ground with a velocity of $10 \hat{i} \frac{m}{s}$. A person inside throws a ball vertically upward with a velocity of $3 \hat{j} \frac{m}{s}$. Now I ...
Floatoss's user avatar
  • 169
0 votes
3 answers
235 views

A question about relative motion and how to make sense of it

So, here is the question: Assuming the 2D Cartesian system and the basis vectors $\hat{i}$ and $\hat{j}$, we have two cars A and B located at (0,6) and (-30,0) respectively. Car A starts moving with a ...
Floatoss's user avatar
  • 169
0 votes
1 answer
94 views

For an airplane moving north from some latitude (say $30^{\circ}N$), why does rotation of the Earth cause an increase in apparent drag?

I'm not able to understand the answer to this example: Example 10 from the Curtis Orbital Mechanics text book : An airplane of mass $70 000\ \mathrm{ kg}$ is traveling due north at latitude $30^\circ$...
supersonic's user avatar
0 votes
1 answer
110 views

Distance between two airplanes [closed]

I need help with a vector problem where my solution is different from that of my teacher. The translation of the problem reads as follows: An air traffic controller observes two aircraft on his radar ...
Josué Fuentes's user avatar
2 votes
3 answers
670 views

I am moving right and rain is falling vertically down.Why should I hold umbrella at an angle?

This is related to relative velocity.I get that, from my moving frame of reference rain is making an angle.But still... it doesn't make sense to hold umbrella at an angle when rain is falling ...
Mohammed Talal's user avatar
1 vote
1 answer
116 views

Velocity of an object with respect to the same object

I know that velocity of an object with respect to the same object is a null vector but I'm not able to get a grasp of it. Whatever I had thought till now is that if I'm sitting in a train (which may ...
Lalit Tolani's user avatar
1 vote
2 answers
7k views

What will be the minimum drift possible when a boat crosses a river? [closed]

Imagine a boat with a constant speed $v$ that has to cross a river of width $d$. Let the river flow with a constant velocity $u$. I want to know the angle at which the boat should sail in order to ...
Sharanya Singh's user avatar
0 votes
0 answers
3k views

On a rainy day, a man is running on a hilly terrain in such a way that he is always finding the rain drops hitting him vertically

It is assumed that rainfall is uniform in the whole terrain from O to E(figure attached) When the man was at rest on stretch OA, he found the rainfall at an angle of $30^o $ with the vertical. What ...
Prajwal Tiwari's user avatar
1 vote
1 answer
40 views

Why do we say the resultant vector as the relative motion in this case?

If a car A moves with acceleration $2m/s^2 $due east and car B moves $1m/s^2 $due north. What would be the acceleration of car B with respect to car A. Now , for this. The solution in my textbook is ...
S.M.T's user avatar
  • 294
-1 votes
1 answer
52 views

Why is direction of train like this for car?

This is an image of a train and a car. T is the train moving towards - $x$ axis and C is the car moving towards $+ y$axis. So, my teacher made a resultant velocity with $-5\hat i$ and $-20\hat j$. ...
Srijan's user avatar
  • 725
-1 votes
2 answers
40 views

Is this correct regarding velocity of train?

So many yellow T drawn are just different position of train at different instants.The person is standing still at all those instants at one place. If a train is moving at 5m/s. Then for me , can we ...
Srijan's user avatar
  • 725

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