Understanding Angular Momentum and Its Effects on Spinning Objects

AI Thread Summary
The discussion centers on the concept of angular momentum and its conservation when objects break off from a rotating body. When a piece separates from a spinning object, it retains the same rotational direction due to the conservation of angular momentum, provided no external torque acts on it. The initial angular momentum of the whole system is maintained, leading to changes in angular velocity if the moment of inertia changes. The example of a ball on a turntable illustrates that when the ball is released, it continues moving tangentially, and its initial spin is linked to the angular momentum of the turntable. Overall, the principles of angular momentum explain the behavior of spinning objects and their fragments.
Dreamdweller
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I'm trying to find out if this is angular momentum or something else. It says this, "If an object spins in a certain direction any pieces that break off that object must also spin in the same direction."

Is that angular momentum or something else?
 
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That statement is unclear to me. Can you provide more context?. A piece breaking off has no reason to spin unless there was some shearing force (or torque about its center of mass) at the time of separation.
 
brainpushups said:
That statement is unclear to me. Can you provide more context?. A piece breaking off has no reason to spin unless there was some shearing force (or torque about its center of mass) at the time of separation.
All the pieces of the rotating whole were themselves rotating prior to separation. They have no reason to stop spinning just because they are no longer attached to anything.
 
I'm not sure if this is a good explanation or not but I guess imagine a ball. Take 2 more balls and attach them to opposite sides of the first ball and set that first ball spinning. Have the 2 balls break off from the first. Will those 2 balls spin in the same direction that the first ball was spinning?
 
Dreamdweller said:
I'm not sure if this is a good explanation or not but I guess imagine a ball. Take 2 more balls and attach them to opposite sides of the first ball and set that first ball spinning. Have the 2 balls break off from the first. Will those 2 balls spin in the same direction that the first ball was spinning?
Prior to those two balls breaking off, do you agree that they were already spinning in the same direction as the first ball?
 
To me, the sentence seems to be correct and clear.
The explanation might be so -
If an object A, say, is spinning clockwise then it has some angular momentum about the axis of rotation. It will be given by,
L= Iw, where I is moment of inertia and w is the angular velocity.
If a piece breaks off of the object A then I decreases, and since there is no external torque or force acting on it, angular momentum will be conserved. Hence, if I goes down, w has to increase to keep L constant.
Talking about the particle which breaks off, no external torque is still applied, so it will have a spin in the same direction viz. clockwise, as that of object A.
I hope you understood :-)
 
I guess I never really thought about a question like this before in relation to the rotation of the object flying off. So suppose a ball is attached to a rotating turntable by a string. The string is cut and the ball flies off at a tangent. The translation of the ball accounts for part of its initial angular momentum about the center of the turntable. Are you saying that the ball must also rotate about its center to account for the fact that angular momentum is conserved of does the turntable just reduce its angular velocity accordingly? If the ball rotates about its center what provides the (internal) torque at the separation?
 
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