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Newtonian mechanics discusses the movement of classical bodies under the influence of forces by applying Newton’s three laws. For more general concepts, use [classical-mechanics]. For Newton’s description of gravity, use [newtonian-gravity].
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Movement of a ball rolling and slipping on the ground
A ball cannot "roll" unless it has some velocity. The direction of friction (+x direction) here implies that the body has a tendency to slip or perform relative motion in the other direction.
Moreover …
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votes
Accepted
The Plus/Minus sign on Forces in a Cartesian coordinate system
In a Cartesian coordinate system, the sign convention for forces and accelerations is crucial to ensure consistency and accurate calculations.
In your problem, you have an increasing $+y$ direction up …
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votes
Accepted
Is there any effect of gravity in a vertical nonlinear spring?
In the case of a vertical nonlinear spring, the effect of gravity can indeed influence the behavior of the spring and the motion of an object attached to it. Unlike a linear spring, where the relation …