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Results tagged with classical-mechanics
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user 21270
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].
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Applied Force in a Non-inertial Frame
Let us consider two reference frames: $S$ and $S'$. $S$ is an inertial frame and $S'$ is a non-inertial frame as it is rotating wrt $S$ with an angular velocity $\omega$ about a fixed axis. The origin …
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Lagrangian for Non-inertial Frame
Context
Let us consider two reference frames: $S$ and $S'$. $S'$ is rotating with respect to $S$ with an angular velocity $\vec{\omega}$ about a rotation axis $MOM'$. The origins of $S$ and $S'$ are …
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Coordinate Transformation in Mass-Pulley Problems
Let's say we want to determine the tension $T$ of the rope in the setup above.
For the mass $m_1$, in $XOY$ coordinate system, Newton's 2nd law yields
$$m_1 a_1 \, \hat{x} = T \, \hat{x} - m_1 g …
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The $r$-component of the Total Force on a Simple Pendulum
Let us consider a simple pendulum in vacuum. Its bob has a mass $m$. There are two forces acting on the bob: the tension of the string $\textbf{T}$ and the uniform gravitational force, $\textbf{W} = m …
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Informal book on Classical Mechanics
Actually Taylor's book is informal and a good introduction to the Classical Mechanics. But it is by no means at the level of Goldstein. You can start with Taylor, but eventually you have to go for Gol …
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