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eosphorus said:all right ill change my question:

i have a tetherball that can unwind to the infinity

i give a initial angular momentum to the thetherball of 1

seems agreed by everybody here that the linear speed of the tetherball will keep to infinitum

the initial angular momentum of the earth is 0

the theter unwinds clockwise to infinitum at a constant linear speed

the thickness of the pole exerces a torque which causes earth to acquire an angular momentun conterclockwise

being the torque kept ad infinitum the earth aquires infinitum angular momentum counterclockwise

now we have a counterclockwise infinite torque on earth and infinitum angular momentum on the tetherball with respect to the earth on the other sense

of course they together add an angular momentum of 0 but well lets just throw the tetherball to meet the universe and let us keep the infinite torque aquired by earth

i just dont get where this energy has come from

Huh?

Do you realize that you KEEP CHANGING the situation almost on every posts that you have made? First it was just a simple tetherball, then it became a tetherball in space, then there's TWO tetherball in space, and now a tetherball at infinity....

Here's a question for you. When you pull your arms in while spinning on ice, your angular momentum remains constant, but your ROTATIONAL KINETIC ENERGY does not! Where do you think this energy comes from?

Zz.