# Questions tagged [classical-mechanics]

For questions on classical mechanics from a mathematical standpoint. This tag should not be the sole tag on a question.

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### The material point M (m=1-mass) in the Oxy plane moves on the effect of a force field which components are Fx=y,Fy=x.

Can someone help me with this exercise? The material point M (m=1) in the Oxy plane moves on the effect of a force field which components are $F_{x}=y$,$F_{y}=x$. Is there a power function and if so, ...
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### How to replace these two forces with one force? [duplicate]

[Please also refer to the EDIT appended below.] Here, $P>Q$. $O$ is the center of mass of the rigid and uniform bar/stick. As $P>Q$, the resultant is situated to the right of $\vec{P}$ and is ...
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### Why is this angle taken as negative?

Question: The resultant of two concurrent forces, $\vec{P}$ and $\vec{Q}$, $[P>Q]$, trisects the angle between them. Show that the angle between them is $3\cos^{-1}\left(\frac{P}{2Q}\right)$ and ...
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### How is my book finding the magnitude of the resultant differently?

Question: Forces of magnitude $Q-R$, $Q$, $Q+R$ act at a point in directions parallel to the sides of an equilateral triangle taken in order. Find the magnitude of their resultant. My attempt: Let ...
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### $\sqrt{\sin^{2}(\frac{\alpha}{2})}=\sin(\frac{\alpha}{2})$?
Question: Two forces $\vec{P}$ and $\vec{Q}$ acting at a point have a resultant $\vec{R}$ and the resolved part of $\vec{R}$ along $\vec{P}$ is equal to the magnitude of $\vec{Q}$. Prove that the ...