Intuition for forces & torques

AI Thread Summary
A force applied to a body does not need to pass through the center of mass to cause translational acceleration; however, if it does not, it will also induce rotational acceleration. The distribution of work done by the force between changing kinetic energy and rotational energy depends on the ratio of the body's moment of inertia to its mass. There is no simple formula to quantify this distribution. The discussion also touches on the concept of applying a force as an impulse, particularly in contexts like billiards or pool. Understanding these dynamics is crucial for analyzing motion in rigid bodies.
decerto
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Does the line of a force applied need to go through the centre of mass to cause translational acceleration?

I have follow up questions regarding the answer to this simple question which I can't find the answer for anywhere
 
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hello decerto! :smile:
decerto said:
Does the line of a force applied need to go through the centre of mass to cause translational acceleration?

any force will cause translational acceleration (if the body is free)

if its line does not pass through the centre of mass, then there will also be a rotational acceleration
 
Ok thanks, the follow up question is related to the fact both torque and force do work, how is this work distributed for set amount of energy.

Say a force is applied not through the centre of mass by something with the ability to do X amount of work on a rigid body, what decides how much of that work goes into changing the kinetic energy vs changing the rotational energy
 
decerto said:
Say a force is applied not through the centre of mass by something with the ability to do X amount of work on a rigid body, what decides how much of that work goes into changing the kinetic energy vs changing the rotational energy

i'm not aware of any simple formula

it would depend on the ratio of the moment of inertia of the body to its mass
 
How do you apply a force "with the ability to do x amount of work" ?

If you apply a single force to a body it will continue to accelerate indefinitely.
 
Studiot said:
How do you apply a force "with the ability to do x amount of work" ?

If you apply a single force to a body it will continue to accelerate indefinitely.

I suppose I'm talking about an impulse
 
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So we are talking billiards, pool or snooker perhaps?
 
Studiot said:
So we are talking billiards, pool or snooker perhaps?

Sorry?
 
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