Three Rotating Objects with Identical Torque (1)

A solid disk, a solid sphere, and a hoop of identical mass \(m\) and radius \(R\) are mounted at rest on frictionless axles. Each object has a string wrapped around its circumference, and the strings are each pulled with an identical force \(F\) for the same time interval; the strings do not slip.

Which object will have the greatest rotational kinetic energy at the end of the time interval?

Note: The mass of the spokes on the hoop is negligible.

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