- #1

Ennio

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Hi guys, I need your support to formulate the kinetic energy of an object:

- having mass

- rotating with angular velocity

- moving along the direction of its symmetry axis with a costant velocity

We can say that the motion describes an Helix.

Now, is it possible to write the kinetic energy making a sum of the rotating energy plus the translating energy, as Ek = 1/2*I*o^2 + 1/2*m*w^2 ? With I the inertia of the object calculated through the

Please consider any object you like (sphere, cylinder..). It´s clear that the peripheral velocity

Thanks in advance!

Ennio

- having mass

*m [Kg]*- rotating with angular velocity

*o [rad/sec]*referred to an axis*t [m]*distant (and parallel) to the symmetry axis of the object- moving along the direction of its symmetry axis with a costant velocity

*w [m/sec]*

We can say that the motion describes an Helix.

Now, is it possible to write the kinetic energy making a sum of the rotating energy plus the translating energy, as Ek = 1/2*I*o^2 + 1/2*m*w^2 ? With I the inertia of the object calculated through the

*Huygens-Steiner Theorem*for a parallel axis.Please consider any object you like (sphere, cylinder..). It´s clear that the peripheral velocity

*v=o*t [m/sec]*and*w [m/sec]*are ortogonal to each other, so what is the consequent formulation for the kinetic energy?Thanks in advance!

Ennio

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