List questions from classical-mechanics

Published on 13 Nov 2018 - 0:53

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atan2 and Cardan angles - Problem with sign

Published on 25 Mar 2026 - 18:58

98

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Solve the differential equation $x''=9.8-k(x')^2$

Published on 13 Nov 2018 - 23:07

137

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Existence of closed and intersecting geodesics on a compact manifold

Published on 15 Nov 2018 - 10:48

1.5k

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Kinetic energy of the compound pendulum

Published on 15 Nov 2018 - 20:21

467

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Solve ODE for real free falling: $y(x)^2\cdot y^{\prime\prime}(x)]=4\cdot 10^{14}$

Published on 15 Nov 2018 - 21:05

65

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Prove $\frac{d}{d\theta} R(\mathbf{n}, \theta) = S(\hat{\mathbf{n}})R(\mathbf{n}, \theta)$

Published on 16 Nov 2018 - 12:52

76

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Periodic motion on a torus and Lyusternik-Fet Theorem

Published on 16 Nov 2018 - 16:59

87

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Lie group structure of incompressible deformations?

Published on 17 Nov 2018 - 10:35

321

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How does author derives $\cos \theta = \frac{dx}{ds} \qquad \sin\theta = \frac{dy }{ds}, $?

Published on 17 Nov 2018 - 18:39

223

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Show that the motion is a circular path

Published on 20 Nov 2018 - 1:54

40

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Controllable system?

Published on 20 Nov 2018 - 18:24

50

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If $x$ is a solution to the equation $\dot y = f(y) \quad f \in C^\infty (\mathbb{R}^d)$, and $x(0) = x(T)$ for some T, prove that $x(t) = x(t+T)$.

Published on 22 Nov 2018 - 3:43

300

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Explanation for that for a particle, $v^2 = (dl / dt)^2 = (dl)^2 / (dt)^2,$ $l$ is the arch that the particle traces out

Published on 25 Mar 2026 - 12:49

1k

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Divergence of a dot product of tensor and vector

Published on 23 Nov 2018 - 14:39

List Question

Determining final speed of a billiard ball after elastic collision

atan2 and Cardan angles - Problem with sign

Solve the differential equation $x''=9.8-k(x')^2$

Existence of closed and intersecting geodesics on a compact manifold

Kinetic energy of the compound pendulum

Solve ODE for real free falling: $y(x)^2\cdot y^{\prime\prime}(x)]=4\cdot 10^{14}$

Prove $\frac{d}{d\theta} R(\mathbf{n}, \theta) = S(\hat{\mathbf{n}})R(\mathbf{n}, \theta)$

Periodic motion on a torus and Lyusternik-Fet Theorem

Lie group structure of incompressible deformations?

How does author derives $\cos \theta = \frac{dx}{ds} \qquad \sin\theta = \frac{dy }{ds}, $?

Show that the motion is a circular path

Controllable system?

If $x$ is a solution to the equation $\dot y = f(y) \quad f \in C^\infty (\mathbb{R}^d)$, and $x(0) = x(T)$ for some T, prove that $x(t) = x(t+T)$.

Explanation for that for a particle, $v^2 = (dl / dt)^2 = (dl)^2 / (dt)^2,$ $l$ is the arch that the particle traces out

Divergence of a dot product of tensor and vector

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