Mathematics Stack Exchange
Mathematics Stack Exchange

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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Center of gravity for a truncated cube on a horizontal table.

A uniform cube of edge length $l$ sits on a horizontal table. The four horizontal edges in contact with the table are cut into at $45^0$. Find the position of the center of gravity of the new solid when the length (and height) $x$ has been sliced…
J132
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Frictional coefficient and tension force for a girder on a rough floor supported by a cable.

A uniform girder AB of length $10m$ and weight $20000N$ rests with its end $A$ on the rough horizontal floor of a factory and with its other end $B$ supported by a cable. The girder makes an angle $α$ with the floor, and the cable is inclined at an…
J132
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Modulus of Elasticity

A new bulb with a bayonet fitting is to be inserted into a standard lamp. The mass of the bulb is 40 grams. To insert the bulb it is first placed in the holder so that it rests on the pi9ns. It then has to be pushed down 6mm against the pins and…
Anthony Cheng
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Motion of particle - Mechanics problem

The problem is: At time $t=0s$ a particle is moving in a straight line and accelerating uniformly at $2 ms^{-2}$. $5s$ later it stops accelerating, but continues to move at a constant velocity for a further $10s$. At time $t=20s$ the particle…
Flora
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fluid mechanics help

for part a) i get $$ u = \partial_y \psi, \quad v = - \partial_x \psi$$ I need help with part d, if anyone can show me how to? thanks
italy
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moment of inertia is same for any axis

A rigid body consists of three thin uniform rods, each of mass $m$ and length $2a$, held mutually perpendicular at their midpoints. Choose a coordinate system with axes along the rods. show that the moment of inertia is the same for any axis passing…
user111750
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How would you answer this mechanics question?

This is not a homework question, it is from a past paper which I am using to practice. The question is shown in the image below: I really don't know much about mechanics, so I don't even know where to start with this one. Any help much appreciated.…
M Smith
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Position vector is given by r(t)=3sin(4t)i+3cos(4t)j+5tk Determine the velocity and acceleration of the particle at any time t>0.

I understand that the velocity and acceleration are found by the first and second derivatives of the position vector respectively. Also that the magnitude of the velocity is speed, given by ||v(t)||. What I am getting confused with is how exactly to…
Clovers
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Mechanics: Newtons Second Law

Can anyone help me with the following mechanics question: Information: A Planet moves under the gravitational influence of a massive star, so that (ignoring the centre of mass) its motion is restricted to a plane, and its position vector and…
Euden
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Projectile Question

A smooth spherical object (the first object) is projected horizontally from a point of vertical height $H = 28.71$ metres above horizontal ground with a launch speed (initial velocity) of $u = 22.68 \operatorname{m/s}$ A second identical object is…
sfclpsml
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Gyroscopic rotation.

I have never encountered a gyroscopic movement question so i am going to require some assistance. At the end of a rod of length $l$ is a solid disk with radius $R$, spinning with angular velocity $\omega$, the other end of the rod is attached to a…
user214138
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Solving particle in vertical motion with air resistance using conservation of energy

A particle of unit mass is projected vertically upwards with speed u. At any height x, while the particle is moving upwards, it is found to experience a total force F, due to gravity and air resistance, given by $F = \alpha e^{-\beta x}$, where…
zcahfg2
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Confusion regarding ($d = rt$) vs ($x_1 = x_0 + v_o t + 0.5 at^2$) usage.

I'm following an online physics course and I can't understand why for the question below the equation distance = speed $\times$ time can't be used while the equation $x_1 = x_0 + v_0t + 1/2at^2$ can. Could somebody please clarify why this is the…
user2566720
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Where is the error in this answer Newton's motion

I am asked to find the distance between the Earth and the Moon given only the constant $G$, the mass of the Earth and that it takes the Moon 28 days to orbit the Earth once as assumed. I said we have $$F=\frac{GM_eM_m}{r^2}=M_m\omega^2r$$ and that…
Jaime
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Simple Forces - Finding Force and Tension for self learner

Problem A particle of mass 4kg is suspended from a point A on a vertical wall by means of a light inextensible string of length 130cm. a) A horizontal force, P is applied to the particle so that it is held in equilibrium a distance of 5ocm from…
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