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Results tagged with newtonian-mechanics
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user 195949
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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Angular kinetic energy of a planar pendulum - Is the force at the pivot responsible for all ...
If only gravity is responsible for the motion, all work comes from it. It is the case of a pendulum.
But it is also possible that we want more speed at the translating mass than what is possible only …
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How can we say load is static in case of simple tension test if it is changing with time?
By static, it means slowly changing with time. It is the case of a standard uniaxial tensile test.
One example of the opposite is the Charpy test, where a notched sample is broken by a weight in a pen …
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If a body is subjected to a force, will it perfectly transmit that force to another body wit...
If the force is not enough to move the system, the situation is similar to a cantilever beam fixed at one end (the ground in this case). And there is an applied force at a distance from the end.
The …
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Accepted
Why would a particle be able to change its angular speed subject to central potential?
The formula: $\tau = I\alpha$ is valid for a rigid body rotating around one of its axis of inertia. It is the derivative of $L= I\omega$.
But if the radius changes, the system is not a rigid body, so …
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Why is it incorrect to find the period of a physical pendulum by considering forces on the c...
For a simple pendulum there is only one particle, because all the mass is concentrated in a point. For that particle it is possible to apply the Newton's second law. If we make the dot product with th …
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I am interesting in finding the answer to the pencil exercise rotating with 2 fingers? Where...
It is up to your fingers to constrain the movement. If when one of them makes the point of contact move $\mathbf ds$, the other one makes the other point of contact move $-\mathbf ds$, the result is a …
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Analysing torque due to gravity in about an offset axis
It is easy to understand if we remember that torque is the derivative of angular momentum $\vec L$ with respect to time. And by definition $\vec L = \vec r \times \vec p$ can be no zero even if the ob …
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Distance from Instantaneous Centre of Rotation in Bicycle Kinematic Model
If the radius of the wheels are different, the angular velocities are also different. So both can have the same linear velocity and fulfill the condition of no-slip.
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Angular momentum of linear motion of sphere without a particle approximation
Angular momentum $\mathbf L = \mathbf r \times \mathbf p$.
For this case, |$\mathbf p| = m|\mathbf v| = 1$ and |$\mathbf r$|= d. If $\mathbf r$ and $\mathbf v$ are orthogonal, |$\mathbf L| = d$
Edit:
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Elliptic orbits and why sun located at focal point acts like at the center of the ellipse?
That parametrization of the elipse corresponds to a body held by a linear elastic device to a point. That is the meaning of $F⃗ = −m\omega^2 r(t)$
If a or b is zero, it is a simple harmonic motion. Bu …
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Force exerted by ideal spring in our hand
An ideal spring is an artifact to concentrate all the mass of a real spring at the point where the force is applied. So the net force on this mass will change depending on the balance of applied force …
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Force experienced by a small piece of a continuous massive spring
I think that is better instead of using massless springs, to write an equilibrium equation of an elastic body under uniaxial tension:
$$\Delta F = A(\sigma_{x+a}-\sigma_{x}) = m\frac{\partial^2 \psi}{ …
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How does centripetal force changes the direction of velocity? Isn't it a violation to Newton...
The second law is a relation between force and acceleration. In the case of linear acceleration it is intuitive that force causes the acceleration.
For circular motion, there are some cases, as a char …
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How do you understand stall in terms of Newtonian mechanics (i.e. without Bernoulli's Princi...
The relevant forces are the weight of the aircraft and the vertical components of the forces on the wings. The sum of the latter forces must equalize the weight to keep the plane in the same altitude. …
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Rotation of rotating axis
It is a consequence of the hypothesis of a rigid body. A simple example is a dumbell, with two masses $M$ linked by a rod with negligible mass compared to $M$.
For an observer in the center of mass, o …
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