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### Apply force to one end of a rod in space: why not purely translational? [duplicate]

Why does applying force to a rod in space (or any other isolated systems) on one end leads to both translational and rotational motion? Here's my logic: suppose there is a rod in space. We magically ...
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### why does unhinged body rotate about centre of mass when off-centre force is applied? [duplicate]

Any force applied to a body creates a torque around some reference point, but if we ignore all other forces (gravity etc.) the body will rotate if and only if the torque is not zero relative to the ...
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### Why does a rigid body rotates about it's centre of mass? [duplicate]

When an impulsive force is acted upon a rigid body, (and the force doesn't pass through the centre of mass) why does the body rotates specifically about an axis passing through centre of mass ?
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### Why does torque lead to rotation? [duplicate]

I know that torque will cause an object to rotate about its centre of mass. I am curious why this is so. Suppose we have a string of particles that are held in a line by electromagnetic forces of ...
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### Newtonian Mechanics [duplicate]

I am making a 2D simulation of an ensemble of electric dipoles as a free-choice project in numerical science. I plan to calculate forces applied to each end of the dipole. The trouble is that I don't ...
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### Why does a body always rotate about its center of mass? [duplicate]

I found after searching that this question has been asked before. But all the answers were not convincing. Suppose I have a body which is free, not constrained always rotate about its center of mass (...
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### Why does a rigid body rotate and not simply translate when pushed with an instantaneous force?

Let's say we have a metal rod of consistent density sitting flat on a frictionless surface. I intuitively understand that if I push one of its ends away from me, (at a right angle to the length of the ...
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### Do objects rotate around the torque vector or its center?

If a sphere has a torque vector coming out of it at point A, would the sphere rotate about its center or the axis of the torque vector?
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### Derivation of Newton-Euler equations

I am in search of a simplified version of the derivation of Newton-Euler equations (both translational and rotational) for a rigid body (3D block) that has a body fixed frame and where the center of ...
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### Physical meaning of the moment of inertia about an axis

In the context of rigid bodies, the inertia tensor is defined as the linear map that takes angular velocity to angular momentum, that is, the linear map $I : \mathbb{R}^3\to \mathbb{R}^3$ such that ...
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### Force acting on an object?

You have a bar of metal in an environment with no gravity. A force is applied on one end of it. How does it rotate? There is a non-zero torque on any random point selected on the bar. For example, on ...
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### Torque in a non-inertial frame

How can we calculate torque in a non-inertial frame? Take for instance a bar in free fall with two masses, one on either end, $M_1$ and $M_2$. Taking the point of rotation to not be the center of mass,...
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### Off-center impulse equations [closed]

A rigid steel bar with mass $M$ is hit sideways (very close to its end) by a steel ball with mass $m$ and velocity $v$. What are the equations of motion after elastic impact and how about conservation ...