All Questions
Tagged with calculus newtonian-mechanics
120
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Writing Riemann sums for physics problems
If I want to find the mass of a rod of length l and density $\rho = kx$ where $x$ is the distance from one end.
If I want to find the gravitational potential due to a hollow sphere at a distance x ...
- 1,096
-1
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5
answers
1k
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Question about the use of integration in physics
I've always thought of integration as a way to solve differential questions. I'd solve physics problems involving calculus by finding the change in the function $df(x) $when I increment the ...
- 1,096
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2
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183
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How can we treat dV like this?
Now, to calculate the gravitational potential due to a ring(or any object for that matter) at a distance $r$ we consider a tiny mass $dm$ on the ring, and calculate the potential $dV$ due to this ...
- 1,096
2
votes
1
answer
116
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When can I assume a force to be constant?
If I have a force $F(x)$, can I assume it to be constant in any infinitesimal interval such as $Rd\theta$,$ dy \over cos\phi$, $dz$ etc. or can I assume it to only be constant in the interval $[x,x+dx)...
- 1,096
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2
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144
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Why can I assume the force to be constant in this particular interval?
If I have force, or any function $f(z)$, I was told that I can assume it to be constant only in the interval $dz$.
However, in this case, I had to calculate the work done by the spring force as a ...
- 1,096
3
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2
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When exactly does error tend to zero in calculus?
I've come across many instances where sometimes the error tends to zero but other times it does not. Let me give you a few examples.
1.
When I calculate the area of a sphere summing up discs of ...
- 1,096
2
votes
3
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355
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Question about the application of calculus in physics
The way I've been taught to apply calculus to physics problems is to consider a small element at a general position and write an equation for that element and then to integrate it.
For e.g
To find ...
- 1,096
4
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2
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Maximizing Time of Flight in Projectile Motion [closed]
Is (or How is) it possible to maximize the time of flight of projectile subject to the following conditions?
Given :
Fixed horizontal range
Interval in which velocity lies
For example, let the ...
4
votes
2
answers
4k
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friction of rope wrapped around a cylinder - the Capstan Equation
I have the following problem:
A rope is wound round a fixed cylinder of radius $r$ so as to make n complete turns. The coefficient of friction between the rope and cylinder is $\mu$. Show that if ...
- 3,997
1
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2
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Proof that SHM is sinusodial?
If we have an object attached to a spring, and the net force on that object is $-kx,$ how do we prove that its motion (if you move the object to $x\ne 0$) is sinusoidal? I know that you must ...
- 215
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Question from Kline's Calculus: A physical and intuitive approach [closed]
A train runs at a velocity of 66 ft/ sec along a straight track. When the brakes are applied, the deceleration is $4/3$ ft/$sec^2$. For how long and how far should the brakes be applied so that the ...
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Is there any reason why acceleration should not be the first derivative of the absolute value of velocity? [closed]
I ask mainly because I am not familiar enough with newtonian mechanics and higher-level physics in general to know the repercussions of such a change, but on the simpler plane of existence, I have ...
- 1
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2
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294
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Line integral confusion
Hi , so I was solving this example . I have no problem in calculation . But at the end of it , when they asked about the closed line integral , I wondered how did the line integral on both paths be ...
user65035
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Is the motion of a particle non-analytic?
I really can't understand what happens during the time $t(0)$ to $t(0+dt)$ in the following crackpot arguement:
A particle is at rest (in an ideal frictionless world) until $t(0)$. So every order ...
user77648
2
votes
1
answer
81
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Satellite and gravitational acceleration
According to $0.5gt^2$ object will fall 5m in first second.
Earth curve is 5m for 8km
So if we can project object at 8000 m/s speed object will never fall into ground.
Above scenario is correct for ...
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