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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].

-1 votes

Will the center of mass of this system move in the vertical direction?

I take it that M2 is stationary and there is a uniform gravitational field. In this case, the mass M1 will move downwards and hence the center of mass of the system will move downwards. The logic is: …
David's user avatar
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11 votes

Why doesn't this way of calculating the moment of inertia of a sphere work?

That's a good, well-stated question and the premise is indeed correct: your independent approach has failed. It fails because you're using $r$ for the distance of the mass of a spherical shell of radi …
David's user avatar
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1 vote
Accepted

Intuition regarding tension and its application in the case of a simple fixed pulley

If you're comfortable with tension in extensible strings, you can think of the inextensible string as the limit of an extensible string. That is, think of extensibility as a variable rather than a con …
David's user avatar
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1 vote

Galilean's principle implies independence of time and dependence on relative distance

It is given that the forces are of the form $$m_j \ddot{q}_j(t) = f_j(\{q_k\},\{\dot{q}_k\})$$ and that the dynamics are invariant under Galilean transformations, meaning that if $\{q_k\}$ obey the eq …
David's user avatar
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