Understanding Angular Momentum and Its Effects on Spinning Objects

In summary, the piece of the object that breaks 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.
  • #1
Dreamdweller
2
0
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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  • #2
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.
 
  • #3
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.
 
  • #4
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?
 
  • #5
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?
 
  • #6
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 :-)
 
  • #7
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?
 

FAQ: Understanding Angular Momentum and Its Effects on Spinning Objects

What is angular momentum?

Angular momentum is a measure of the amount of rotational motion an object has. It is a vector quantity that takes into account both the mass and the velocity of an object as it rotates around an axis.

How is angular momentum different from linear momentum?

Linear momentum is a measure of the amount of straight-line motion an object has, while angular momentum is a measure of the amount of rotational motion an object has. Linear momentum is a vector quantity that takes into account the mass and velocity of an object in a straight line, while angular momentum takes into account the mass and velocity of an object as it rotates around an axis.

What factors affect angular momentum?

The factors that affect angular momentum are the mass, velocity, and distribution of mass of the spinning object. The more mass an object has, the more angular momentum it will have. The greater the velocity of the object, the more angular momentum it will have. The distribution of mass also plays a role, as objects with their mass concentrated closer to the axis of rotation will have a higher angular momentum compared to objects with their mass spread out further from the axis.

How does angular momentum affect the stability of a spinning object?

Angular momentum affects the stability of a spinning object by keeping it in motion and resisting any external forces that may try to change its direction or speed. Objects with a higher angular momentum will be more stable and harder to move, while objects with a lower angular momentum are more susceptible to external forces and can be easily disrupted.

How is angular momentum conserved in spinning objects?

According to the law of conservation of angular momentum, the total angular momentum of a system remains constant as long as there are no external torques acting on it. This means that if a spinning object experiences no external forces or torques, its angular momentum will remain constant. If the object experiences a change in its mass, velocity, or distribution of mass, its angular momentum will also change in order to maintain conservation.

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