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Results tagged with classical-mechanics
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user 7167
Classical mechanics discusses the behaviour of macroscopic bodies under the influence of forces (without necessarily specifying the origin of these forces). If it's possible, USE MORE SPECIFIC TAGS like [newtonian-mechanics], [lagrangian-formalism], and [hamiltonian-formalism].
1
vote
Accepted
Rigid body dynamics of tossing of a coin
I will give it a shot. Spoiler: I did this in the body frame so that the moment of inertia is time independent, before you get excited...
Starting with Euler's equations:
$$
I_i\dot{\Omega}_i+(I_j - …
- 3,360
2
votes
Ball Rolling in a Parabolic Bowl
I would like to offer another Lagrangian approach, that tries to mirror the typical pendulum problem in lagrangian mechanics. I just thought of this, so I hope this is right...
A typical problem in …
- 3,360
1
vote
Finding Lagrangian of a Spring Pendulum
The Total kinetic energy is the sum of the parts. For this there is kinetic energy in the radial direction $1/2 m \dot{x}^2$ and in the $\hat{\theta}$ direction. The super position of these two ener …
- 3,360
5
votes
Accepted
How to determine an exponential acceleration curve?
The givens: $\Delta t$, $d$, $v_1$, $v_2$. And you demand that the acceleration is exponential. Let
$$
a(t)=a_0 e^{\omega t}
$$
Then if we say that $v_1=0$ we have after integrating
$$
v(t)=\frac{a_0 …
- 3,360
1
vote
Hamiltonian and the space-time structure
I tried the following: assuming that the metric only depends on the coordinates, $g(q)$, and the energy only depends on the the coordinates and the spatial momenta, $p_0 (q,p_i)$. I then considered v …
- 3,360