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#1
if a rigid object is floating in space and a single force is applied to it, will it rotate or just move translationally?
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7 years ago
#2
(Original post by MEPS1996)
if a rigid object is floating in space and a single force is applied to it, will it rotate or just move translationally?
Depends. Does the line of action of the force pass through the centre of mass of the object or not?
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#3
(Original post by ghostwalker)
Depends. Does the line of action of the force pass through the centre of mass of the object or not?
what happens in both cases?
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7 years ago
#4
(Original post by MEPS1996)
what happens in both cases?
In both bases it will move translationally, and if the line of action of the force does not pass through the centre of mass, it will rotate as well.
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#5
(Original post by ghostwalker)
In both bases it will move translationally, and if the line of action of the force does not pass through the centre of mass, it will rotate as well.
why is this? I understand objects in equilibrium have equal clockwise and anticlockwise moments at all points, but an object with a force through its centre of mass still has some resultant moment at some points...
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7 years ago
#6
(Original post by MEPS1996)
why is this?
I wouldn't attempt to answer that.

It may be covered in later mechanics modules, specifically dealing with moments of inertia, and angular momentum. Or it may be left to uni.
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#7
(Original post by ghostwalker)
I wouldn't attempt to answer that.

It may be covered in later mechanics modules, specifically dealing with moments of inertia, and angular momentum. Or it may be left to uni.
ok thanks ghostwalker,
I know there is a rule that an object which is in equilbrium has moments balanced about all points. However, for the object with a force through its centre of mass this is not the case. Therefore for moments to be balanced around every point the object must be in translational and rotational equilbrium. Correct? So at my level, Sixth form, usually we know an object is in equilibrium so we can deduce things about forces as moments are balanced. My question is, what happens if an object is not in equilbrium. What then can the moments equations tell us. Or indeed what can we deduce from moments equations about an objects motion- rotation and translation?
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7 years ago
#8
(Original post by MEPS1996)
...
Knowing the centre of mass and moments of inertia, then for any applied force we can ascertain the change in translational and rotational motion.

The translational part is straight forward, we just apply F=ma in its vector form, where the acceleration refers to the acceleration of the centre of mass.

The rotational part isn't that difficult for simple shapes, from what I remember - perhaps restricting it to two dimensions.

The translational part and the rotation parts are treated separately, IF I recall correctly, but it really is a long time since I looked at this.
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