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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 .

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How to find tension in the string given in the question below?

enter image description here Only a part is needed. Thanks.
Alperen Bulgur
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Resolving 3 forces and finding resultant horizontal and vertical components

I have the question "Resolve the forces acting on the following objects into their vertical and horizontal components and thus find the vertical and horizontal components of their resultant force. I have drawn a triangle from this. And have worked…
Dan
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Finding resultant force with no vertical component

I have the question "Resolve the forces acting on the following objects into their vertical and horizontal components and thus find the vertical and horizontal components of their resultant force." Here the vertical component is not given. Only the…
Dan
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Resolving forces of object into vertical and horizontal components using trigonometry

I have the question "Resolve the forces acting on the following objects into their vertical and horizontal components and thus find the vertical and horizontal components of their resultant force". I know that I have to make a triangle to find the…
Dan
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Adding force vectors by scale drawings

I have the following question To find the acceleration I rearrange the formula F = ma to get a = F / m. This gives a = 5 / 2.5 = 2. However, the solutions say that the answer should be the following: However, I am not sure how this answer is…
Dan
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Moments and bridges

The horizontal roadways of a bridge AB, 12 m long, weight 56000 N and rests on two supports at its ends, What is the pressure on each support when a lorry of weight 33600 N, Starting from A, is at a point two- third of the on the bridge? And my…
Anuj Kumar
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Sine for SHM but Cosine for Spring-Mass System, where's the catch?

Normally (correct me if I'm wrong) we have that Simple Harmonic Motion (SHM) is of the form $$y(t) = A\sin\left(\frac{2\pi t}{T}\right) = A\sin(\omega t)$$ where $A$ is the amplitude, $t$ is the independent variable of time and $T$ is the period of…
Euler_Salter
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Point particle colliding with uniform bar, which rotates around centre of mass

A small, uniform disk of mass $m_1=2kg$ travels with a velocity $v_{1i}=3m s^{−1}$ on a frictionless surface in the xy-plane. It strikes the end of a flat, narrow, uniform rod of length, $l=4m$ and mass $m_2=1kg$. The moment of inertia of the rod…
Tom
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Gravitational force of the earth when modelled as a particle at a distance of 0.0254m

We assume the gravitational pull of the earth to be approximately $9.81\ \mathrm{m/s^2}$. If I model it as a particle and place an object $0.0254$ m away, what is the new force? I tried using the inverse square law and the radius of the actual…
user306378
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Vertical motion of a particle on a sphere resting against a wall.

A smooth sphere with centre $O$ and radius $a$ is fixed with a point $B$ of its surface in contact with a vertical wall. A particle $P$ of mass $m$ rests at the highest point $A$ of the sphere. It is slightly disturbed so that it moves from rest…
J132
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What does it mean to say that "an exactly equivalent way to express Hooke's Law is by the potential energy"?

From Taylor, Classical Mechanics What does that last line mean? Force and energy do not have equivalent units, so I don't understand how the author relates them. Intuitively, I can see how both the force and the potential energy oscillate, but…
whatwhatwhat
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What are stress-free boundary conditions? (Continuum Mechanics)

I've been doing some work on continuum mechanics and I can't find a good explanation for "stress free boundary conditions". I'm doing the question below: A solid linearly elastic isotropic circular cylinder of length $h$, radius $a$ and constant…
monvad22
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Bead on rotating hoop with mass, determine the lagrangian

"Consider the system consisting of a bead of mass m sliding on a smooth circular wire hoop of mass 2m and radius R in a vertical plane, and the vertical plane containing the hoop free to rotate about the vertical axis. Let φ denote the angle between…
user339718
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Taking Moments About a Point

This is a rod attached to a wall by a light inextensible string: And here is a diagram showing the forces acting: I want to find the normal reaction $R$ between the rod and wall using moments about $C$. A moment is the product of the force times…
Tiernan Watson
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Conservation of Net Mechanical Energy in SHM

I have a question I wish to answer: Show that the simple harmonic motion solution of the simple pendulum in the form $$\theta (t) = A\cos ({\omega _0}t)$$ (constant A) conserves net mechanical energy $E = K + U$. I have the equation for E as $E = {1…
Hans
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