All Questions
8 questions
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2
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Average angular velocity and speed
Are the magnitude of average angular velocity and the value of the average angular speed always same? If not then can you please give an example.
- 37
1
vote
3
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596
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Is the derivative of the magnitude of a position vector the speed? Is the integral of the speed the magnitude of a position vector?
I'm reading a book titled "Introduction to Mechanics" by Kleppner, and I came across an example: A bead moves along the spoke of a wheel at constant speed $u$ meters per second. The wheel ...
- 113
2
votes
1
answer
189
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Rotational motion from curved slope?
So I've learned for any slope with a sliding object, say a box, the speed at the bottom only depends on the height it was dropped from because of conservation of energy, assuming absence of friction ...
- 133
2
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5
answers
4k
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Why is it said that speed always remains constant in circular motion?
One can cover circular motion with different speeds at different positions, right? The only aim is to complete his circular motion, right?
0
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2
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743
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What if the directions of the initial and final velocity are different in the conservation of mechanical energy equation?
I saw a problem, and saw that it could be easily solved using conservation of mechanical energy. So I wrote my equation:
$$mgh_1 + \frac12mu^2 = mgh_2 + \frac12mv^2$$
Where $u$ is initial velocity, $...
- 87
0
votes
1
answer
340
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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 ...
- 327
1
vote
1
answer
63
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How fast does a long object bent at the center need to be travelling in order to boomerang?
At an angle, of course.
Standard pressure, average temperature, and calm wind.
Bonus question: Can an object that is not bent boomerang at all? If yes, how different would the equations for this ...
- 35
0
votes
1
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115
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Angular speed and normal speed
The instantaneous speed of a point along a circular path is given by $v=\omega r$, where $$\omega = \frac{\Delta \theta}{\Delta t},$$ $s=\Delta \theta r$, and $v=s/t$.
However, isn’t the displacement ...
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