The force conversation of angular momentum creates

In summary: This is due to the conservation of angular momentum.In summary, the body is spinning on a frictionless table while being pulled by a wire. According to the conversation, the force of the wire is not perpendicular to the velocity and therefore does work on the object, causing its speed to increase. The net torque is not zero, but the net force is, which explains why the gyroscope does not fall down. The gyroscope precesses due to the conservation of angular momentum.
  • #1
Mad_Eye
69
0
A body is tied to a wire that go through a hole in a (frictionless) table on which the body is spinning.

The body is spinning while the wire is pulled from beneath the table.
according to conversation of angular momentum the speed of the body should now increase, but in terms of forces... what force is actually increasing the speed? the force of the wire can't do it since it perpendicular to the velocity, (thus not doing any work, and thus the kinetic energy should be the same).

so what force is doing it, and where does it comes from in the atomic level..?

Thank you
 
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  • #2
Mad_Eye said:
the force of the wire can't do it since it perpendicular to the velocity
If the object is being pulled in then it is not moving in uniform circular motion and the force of the wire is, in fact, not perpendicular to the velocity and therefore does work on the object.
 
  • #3
DaleSpam said:
If the object is being pulled in then it is not moving in uniform circular motion and the force of the wire is, in fact, not perpendicular to the velocity and therefore does work on the object.

:mad: damn, I actually thought about it, and some why deny it..
because seemingly in the first infinitesimal moment it still perpendicular.

so what about gyroscope, that stand still in unnatural way
http://t2.gstatic.com/images?q=tbn:...aviddarling.info/images/gyroscope_diagram.jpg

you have mg pulling it down, why doesn't it fall?
 
  • #4
Mad_Eye said:
you have mg pulling it down, why doesn't it fall?
It does not fall down because at the pivot there is also a normal force equal to mg pushing it up. So there is no net force in the vertical direction.
 
  • #5
DaleSpam said:
It does not fall down because at the pivot there is also a normal force equal to mg pushing it up. So there is no net force in the vertical direction.

but.. what?
the net torque is not zero..
and what the different between a spinning gyro and a non spinning..?
 
  • #6
Force and torque are different. The net force is 0, the net torque is not zero.

The torque is the cross product of the weight (down) and the vector from the pivot to the center of gravity. This vector is in the horizontal direction, and therefore the angular momentum changes in that direction which causes the gyroscope to precess.
 

What is the force conversation of angular momentum?

The force conversation of angular momentum is a physical law that states that angular momentum remains constant in a closed system, regardless of any internal changes or external forces acting on the system. This means that if the total external torque acting on a system is zero, the angular momentum of the system will remain constant.

How does the force conversation of angular momentum relate to Newton's laws of motion?

The force conversation of angular momentum is a consequence of Newton's laws of motion. It is a direct result of the law of conservation of momentum, which states that the total momentum of a system remains constant in the absence of external forces. Angular momentum is a type of momentum that is specific to rotating objects, and the force conversation of angular momentum applies this concept to rotational motion.

What is the practical application of the force conversation of angular momentum?

The force conversation of angular momentum has many practical applications in fields such as engineering, physics, and astronomy. It is used to analyze rotational motion and predict the behavior of rotating systems, such as gyroscopes and rotating machinery. It is also essential in understanding the motion of planets and other celestial bodies.

What happens if the force conversation of angular momentum is violated?

If the force conversation of angular momentum is violated, it means that the total external torque acting on a system is not equal to zero. This can result in changes in the angular momentum of the system, which can lead to unexpected and potentially dangerous behavior in rotating systems. Violations of this law are extremely rare and are typically only seen in extreme situations, such as collisions between celestial bodies.

Can the force conversation of angular momentum be applied to non-rotating systems?

No, the force conversation of angular momentum only applies to rotating systems. However, the concept of conservation of momentum can be applied to both rotating and non-rotating systems. In non-rotating systems, the conservation of momentum is applied to linear motion, while in rotating systems, it is applied to angular motion.

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