Does the momentum from the arms transfer to the body if you stop it when jumping?
so if you jump vertically and you swing your arms forward to give them an angular momentum and then your arms reaches it's limit. does the angular momentum transfer to the body as a whole causing a back flip? i know the angular momentum has to be conserved. L=IW.
The angular momentum of the entire body is conserved.
so the entire body would rotate right?
To determine whether the momentum from the arms transfers to the body when you stop it while jumping, we need to consider the principles of angular momentum and conservation of angular momentum.
Angular momentum is given by the equation L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity. In the case of swinging your arms while jumping, the angular momentum of the arms is initially non-zero due to their rotational motion.
Now, if you suddenly stop the motion of your arms while they are still swung forward, there will be a change in the angular momentum of your arms. According to the law of conservation of angular momentum, the total angular momentum of an isolated system remains constant unless acted upon by an external torque.
In this scenario, if there are no external torques acting on your body other than the internal forces, the change in angular momentum of your arms must be compensated by an equal and opposite change in angular momentum elsewhere in your body to maintain the overall angular momentum of the system.
However, achieving a backflip solely by stopping the swinging motion of your arms is unlikely. Angular momentum transfer among body parts is a complex process involving various factors such as your center of mass, balance, muscle strength, and coordination.
While stopping your arms abruptly might cause a change in angular momentum distribution within your body, it is highly improbable to generate enough angular momentum to induce a complete backflip. Backflips usually require a considerable amount of initial angular momentum and force, primarily generated through coordinated movements and muscle contractions.
In summary, the angular momentum from your arms can transfer to your body to some extent as a result of the conservation of angular momentum. However, achieving a backflip solely through this transfer is unlikely, as additional factors and forces are typically necessary for such a complex motion.