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Results tagged with newtonian-mechanics
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user 5705
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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Is a (axial) rotation an absolute or relative motion?
If you ask the wheel, everything around it will be spinning. So yes, there are observers who could think that they are spinning.
The frame of the wheel is not rest frame because it is rotating. Rotat …
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Normal force and weight
Both books are individually attracted by the whole mass of earth. That gives you the force $mg$. In principle also the books attract each other via gravity, but that force is so small that you can saf …
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How is a mass, suspended vertically by two springs in parallel, kept stable?
The thing that the springs must have in common is their length $x$. This comes from the mass which is attached to the springs, having different lengths does not make sense in this setup.
From this yo …
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100 lbs of drag? Really? Chain running physics
The chain looks pretty long, only a meter or so is actually in the air. The gravitational force on the runner by the chain is not that big. The runner is bulled back/down in the angle that the chain a …
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Inertia matrix in skew coordinates
You are given $\mathbf A$ which a matrix describing the linear transformation. This matrix will allow you to move from the new coordinates (subscript 1) to the old coordinates (no subscript).
What yo …
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Calculate radial acceleration at top of chimney
You made the wrong assumption when you said:
The energy of the top-most point at the chimney must've been conserved.
Energy is only conserved for isolated systems. Your assumption would be corre …
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Rolling cylinder on a conveyor
The conveyor has a (linear) speed of $v$. In order for the cylinder to remain at the same position is has to rotate with a certain angular velocity $\omega$. If you have the velocity of the conveyor $ …
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Why are there two different and incompatible formulae for Hooke's Law?
I'd say that the inclusion of the cross sectional area is a must. Perhaps the equation used a modulus which was already for a certain cross section? Otherwise it is easy to see that the cross sectiona …
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Confusion about conservation of energy
Energy is only conserved in closed systems. Your magical gravitational field is outside of that. You can get the same results with a plate capacitor that contains a charge in the middle. By reversing …
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Accepted
Moving wedge and pulley system
Part A
$\mu$ large implies that the wedge does not move. Therefore the two forces on the small masses along their direction of movement are:
$$F_1 = m_1 g, \quad F_2 = m_2 g \sin(\alpha).$$
They pul …
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A small object on the opposite side of the earth's orbit with 0 velocity,"in line" with the ...
Use Newton's law of gravity to calculate the force. That force will depend on the distance of the object and the sun. Then use $F = m a$ to calculate the acceleration on the object. Use $d = at^2$ to …
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Finding angular momentum about the center of mass?
The center of mass is not $(0, 0)$. If you take the average of the two positions, you will get $(c, d)$.
The angular momentum $\vec L$ is $\vec r \times \vec p$. With mass $m$, this will be:
$$ \vec …
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Pushing, inertia of a cart system
I have a cart with another cart on top which gets pulled down by another cart on the side. There is no friction.
The question is:
How strongly do I have to push with $F$ to keep the cart $m_1$ st …
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Accepted
Relationship Gravitational Potential and the Tangential Velocity of a Satellite
The relation is indeed correct. Let me show you why.
This type of problem is solved by equating forces. Other classical mechanics problems are by equating energies or, in rare cases, momentum.
The g …
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Why do objects feel heavier when held with an extended arm than with a bent arm?
I'd also say that this is due to torque. It is not the angle at the elbow. Take some weight in your hand and let it hand straight down from your shoulder. Then pull it up to your armpit. Holding it wi …
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