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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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Vector space and form?

What is the significance of equipping the vector space with a form? For instance a symplectic space has a symlectic two form? Why does it need it + what does having it allow/benifit us?
Janet the Physicist
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Basic problem in Mechanics

A body starts from rest and builds up to a velocity of 7.2km/hr in half a minute. A) What is the acceleration? B) What distance is travelled in the half minute? Apparently the answer is $1/15 m/s^2$ for part A, I've tried used the equation $v =…
IAmAlfred
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Bullet hit, calculate pressure

I wanna calculate the stress that is there when a bullet hits a metall plate. i know the formula pressure = force / area But how can I calculate the force?
rudolf97
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Workout initial velocity of projectile without knowing launch angle

I am trying to work out the speed of a tennis serve. I know the following: X Distance: 18m, Time: 0.5s, g: 9.8, Launch height: 3m. Is it possible to work out the initial velocity of the serve considering that I don't know the launch angle? Many…
George
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Intersection of arbitrary oscillation

I am looking for a solution to calculate the intersections of arbitrary (harmonic) oscillations. For example Biorythm with constant amplitude and different periods. Especially my problem with oscillations havin different periods and amplitudes.
Alina B.
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Find the magnitude of the total force exerted on the hinge by the wall?

A regular platform $ABCD$ of weight $200N$ is smoothly hinged, along its edge $AB$, to a verical wall, The platform is kept horizontal by two parallel chains inclined at $45^o$ to the horizontal connecting the points $P$ and $Q$ of the wall to the…
H_Hassan
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Which is the equation of the trajectory of a particle?

The solution to this question has left me rather confused... Question: A particle moves with the known constant speed $v = |d\vec{r}/dt|$ on a helix. Its position is given by $$\vec{r}(t)=\begin{pmatrix} v_0t\\ r\sin(\omega t)\\r\cos(\omega t)…
Mr Croutini
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Classical Mechanics by John R. Taylor Chapter 1 Problem 40

This is a problem from Classical Mechanics by John R. Taylor Chapter 1 Problem 40 I got an answer of 70.5deg but I'm not sure if it is correct
shinobi20
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Finding the total energy and specific angular momentum of a particle moving in a circle

I'm given a particle of mass $m$ moving in a circle of radius $a$, under a central force. Its potential energy, $U(r)=m \lambda r^4$ (where $\lambda>0$). I'm trying to find the total energy and the specific angular momentum (and the period). When I…
beep-boop
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Mechanics collision between two point masses

Consider a one-dimensional force field given by the formula $$F(x, m) = −kmx, k > 0, x ∈ (−∞, ∞)$$ that acts on a point mass $P$ of mass $m$ located at position $x$. Consider two point masses $P_1$ and $P_2$ with $m_1=m_2=m$, and with initial…
Shirou
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Speed of horizontal rotating lamina after perpendicular impact from above

A uniform square lamina of side $2l$ and mass $m$ is rotating with angular speed $\omega$ in a horizontal plane about a smooth fixed vertical axis through the centre of the lamina. A particle of mass $3m$ is held at height $l$ above the lamina. The…
Dan
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Trajectory question

With initial conditions $ x(0)= l > 0 $ and $\dot{x}(0)=0$ ,determine the trajectory $x(t)$ of the particle. Also determine its position and velocity at times $$\frac {1}{2}T,\frac {1}{3}T,\frac {1}{4}T$$ Where $$x(t)=a\cos(t\sqrt{k})$$ $$\frac…
Chloe Williams
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Need some help with an easy mechanics question.

The distance between a boy and the shelf is R. He wants to throw a ball of mass m with an initial speed v such that it hits the top of the shelf of a height h. 1) Show that a ball thrown at the angle to the horizontal, then at any later time it has…
user138913
  • 339
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Mechanics Question

A particle $P$ of mass $0.6\text{ kg}$ moves upwards along a line of greatest slope of a plane inclined at $18°$ to the horizontal. The deceleration of $p$ is 4 ms−2 The first part asks us to find the frictional and normal components of the force…
user140161
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Resultant force on a pulley doesn't seem logical to me

I have a simple mechanics problem (to the left) that can be solved using newton's second law. Strings are all the same and are light and inextensible and vertical. When we try finding the tension using these equations: $3-T=0.3a$ |…
842Mono
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