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Does moving the idler in a wheel and disk CVT conserve energy or momentum?

Consider the wheel and disk CVTs (continuous variable transmissions) below. Configuration A comprises a CVT disk coupled to the "system under control" 's', whereby a control wheel 'cw' constructed fro …
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Does moving the idler in a wheel and disk CVT conserve energy or momentum?

I have realized that these systems do in fact conserve both rotational kinetic energy and angular momentum, whereby what I had not considered was the rotation of the entire CVT system itself, or that …
Mr. Haelscheir's user avatar