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Results tagged with newtonian-mechanics
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user 6982
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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Determining the angle of motion from distance and velocity data?
Yes. You are right.
In principle you would write
$$\tan(\theta)=\frac{\Delta y}{\Delta x}=\frac{\Delta y/\Delta t}{\Delta x/\Delta t}=\frac{V_y}{V_x}$$
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Shouldn't the change in kinetic energy be more in a moving elevator from a stationary frame ...
There is no such thing as conservation of energy between intertial reference frames. (The kinetic energy of a car is larger in any intertial frame that is not it's own restframe)
Considering the obse …
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Strength of wall regarding a system of hanging mass
It's not completely sure what you mean with the maximum load that the wall anchor can hold. But one way or the other that is either the tension force $T$ in the rope, or $T\cos\alpha$ or $T\sin\alpha$ …
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Orbital motion with varying radius
The two relations that you give, are strictly valid only for circulation motion. You give an example of circular motion with variable radius, but, that is not circular motion anymore. Also, how would …
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Can we feel our own weight (can we feel normal reaction)?
I would assume it is was part of evolution that we don really feel it, because it would be very annoying to be continuously aware of the normal force.
However, you can try several things to redistrib …
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Does mass concentration affect the torque induced by a force?
The definition of torque is force times lever arm. As you state it, force and lever arm are identical, so is the torque.
There are differences. Because the moment of inertia differs, the applied torq …
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Conservation of Linear Momentum at the point of collision
During the collision, particle 1 will exert a force on particle 2. Let's call this force $F_{12}(t)$. Now, at the same time, particle 2 will exert a force on particle to, $F_{21}(t)$. According to New …
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Is the tension in both ends the same (on a massed string)?
Suppose the string has length $L$ and mass $m$, and both boxes have mass $M$, then, as the total external force is $F$, the acceleration of all objects is $a$
$$ a = \frac{F}{2M+m}.$$
Assuming the t …
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How to solve this problem only using the kinematics of rotational motion?
The case with a massless wheel is a bit boring, because it is just the case without a wheel, i.e., a free falling body.
In classical mechanics, there is always multiple routes that lead to the same an …
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How to solve this problem without using energy considerations?
The general steps are
Make a sketch
Draw the forces, torques, coordinate system, etc.
Write down Newton's second law for each object (translational/rotational)
Derive the equations of motion (positio …
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Same momentum, different mass
You're right about the stopping time, if you continuously apply a constant force, this will indeed be true.
The stopping distance will probably not be the same, as the pingpong-ball is moving much fa …
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If the velocity vector of a moving particle is always perpendicular to the position vector, ...
Mathematically, yes, it will always be a circle. If you look in polar coordinates, your velocity vector is $\vec{v}=v(t)\hat{\theta}$. It does not really matter what this velocity is, because no veloc …
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When I move my arm forward in vacuum, will my body move backward?
Yes.
There are only internal forces of your body. Without external forces, the center of mass of your body cannot change position. As your center of mass did not move, the main body should move in th …
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What is the intuition behind $gt^2/2$ equalling the distance something falls after $t$ seconds?
You are not making a fundamental error, and your approach is in principle correct. Basically, what you get, is a discretization error. Basically, what you are doing is evaluating the integral
$$d=\in …
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Forces as vectors in Newtonian mechanics
I think what you are arriving at, will be rotational mechanics.
As long as objects just translate, you can just sum up the forced, and calculate the results for on the object, as you understand.
Whe …
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