Recent content by erore

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    I The partial time derivative of Hamiltonian vs Lagrangian

    I have been reading a book on classical theoretical physics and it claims: -------------- If a Lagrange function depends on a continuous parameter ##\lambda##, then also the generalized momentum ##p_i = \frac{\partial L}{\partial\dot{q}_i}## depends on ##\lambda##, also the velocity...
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    Composition of collateral rotations of a planet

    I will make an example. The Sun-Earth system - the Earth rotates about its own axis and at the same time it also orbits the Sun. I choose a coordinate system that corotates with the Earth (z axis is the spin axis) and I need to find how the direction vector to the Sun evolves with time. Unlike...
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    Composition of collateral rotations of a planet

    A body is orbiting the sun and rotates about its axis (z). My coordinate system is co-rotating with the body. I need to determine how does a vector that points to the sun change after a certain period of time. Initially the sun vector lies in the xz plane. Basically I need to find the rotation...
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    Massive rotating drum on bearings with friction

    I am sorry, the first paragraph was nonsense. I corrected. Basically, there is a hole in the middle of the drum of radius r and a shaft with bearings is inserted into that hole. The friction I mention is between the inner hole of the drum and the bearings.
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    Massive rotating drum on bearings with friction

    I came across the following example. I have a mass m' that is suspended from a massless rope which is wound around a drum of mass m. The radius of the drum is R. The drum is fixed on a shaft with bearings of radius r. I am supposed to determine coefficient of friction between the bearings and...
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