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Questions tagged [classical-mechanics]

For questions on classical mechanics from a mathematical standpoint. This tag should not be the sole tag on a question.

Wikipedia says:

Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, as well as astronomical objects, such as spacecraft, planets, stars, and galaxies. Besides this, many specializations within the subject deal with gases, liquids, solids, and other specific sub-topics. Classical mechanics provides extremely accurate results as long as the domain of study is restricted to large objects and the speeds involved do not approach the speed of light.

For questions on classical mechanics from a mathematical standpoint. This tag should not be the sole tag on a question. Examples of other tags that might accompany this include , , and .

2097 questions
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Distance between Race Cars (SUVAT equations)

Two cars start from rest, from the start line, and accelerate uniformly along a racetrack running perpendicular to the start line. After 5 seconds the first car is $30\,\mathrm m$ in front of the second car. How far is it in front after another $5$…
AOD
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How to find center of gravity of a circle with a hollow circle in it?

How do i find the center of gravity of this figure? https://i.stack.imgur.com/68z2R.png How do i find the center of gravity of this figure? M = 14a N= 6a. I know I have to find the area of both circles then big one - small one.(that's what we did…
Alexisdr
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Simple Harmonic Motion in the 2012 film Total Recall

In the 2012 film Total Recall, a straight tunnel exists between two antipodal places on Earth and work shuttle passes through the tunnel by dropping into it, reaching maximum velocity at the centre of the Earth, and rising out the other side. In…
Kristof Arnaldo
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Why do we have to integrate power to get the function of the work?

Why do I have to integrate the function of the power to get the function of the work if both the force which is applied to the object and the displacement are changing? Both the force and the displacement are function of time And the textbook says…
peter
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Mechanics - Banked Slope

I have an example in a textbook that goes like this: A car travels around a bend which has radius 100 m and is banked at an angle of 20° the horizontal. The car is travelling at a speed of 30 ms-. What is the least possible value of the coefficient…
Charlie Thomas
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Eulerian to Lagrangian Coordinates Help: How to find constants? (Theoretical Mechanics)

Consider material traveling in a two-dimensional space with its velocity at any given location in space (capital letters correspond to Eulerian, lower case to Lagrangian) given by $\overrightarrow{V}(\overrightarrow{X},t)…
sadsloth_96
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Sign problem when working out a simple pendulum's differential equation

I was trying to work out the differential equation for a simple pendulum, and got a sign mistake along the way (among other things I guess). Here's my reasoning: assuming that the friction forces are negligible, one may use the conservation of…
Mogu
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How do you determine which particle has a greater speed after a collision when you are given the mass and initial velocity?

This is the specific question I refer to (exam practice): Particle P has mass 3kg and particle Q has mass 2kg. The particles are moving in opposite directions on a smooth horizontal plane when they collide directly. Immediately before the collision,…
Wk_of_Angmar
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Kinetic energy of the compound pendulum

Question: A rigid, uniform rod of length $L$ and mass $M$ is pivoted to the origin $O$ at one end, and is then left to swing freely in a vertical plane. If the angle the rod makes with the vertical is $\theta$, show that the kinetic energy of the…
glowstonetrees
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Determining final speed of a billiard ball after elastic collision

A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the level table. The initially moving billiard ball deflects 30.0° from its original direction. What is the speed of the…
Anson Pang
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Calculating Sums Of Mathss

I'm supposed to use my previous answers to work out the direction of the equilibrant. My previous resultant magnitude and direction are as follow: magnitude: $20.87$ direction: $56.21°$ As far as I'm aware the equilibrant has the same magnitude. By…
Diamonds
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Prove that the following set of differential equations yield a circle

So I have the following differential equations: $$\dot{x} = \omega y \ \ \ \ (i) $$ $$\dot{y}= -\omega x \ \ \ (ii)$$ Now, my professor considered them as complex variables and solved in the following way: $$\dot{x}+i\dot{y} = -\omega…
Anjan
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Reaction Forces - $2$ Concentrated Loads

I have this question I've been attempting and need some guidance. I'm not exactly sure on how to go about this. I'll explain the image I've attached: This is a gantry crane and it has two hoists along the beam which is $15m$ long. It has two…
Smithy55
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Passing a ball between two players

I am building a soccer game. I want my user to pass a ball between two players Player A is kicking the ball. Player B is following a line of Vector points with a constant velocity. What kind of formula would tell me at which point in the line player…
David
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Calculating extensions in elastic string

Could anyone please help me with the following question? Here's my failed line of reasoning so far: My diagram: You can see that I am assuming that P moves down to lie vertically under it's original position, is even this correct? Otherwise: I've…
gnitsuk
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