Answer:
Hoop.
Explanation:
The angular acceleration performed at a given torque:
[tex]\alpha = \frac{\tau}{I}[/tex]
The moments of inertia of each element are described below:
Hoop
[tex]I = M\cdot R^{2}[/tex]
Solid sphere
[tex]I = \frac{2}{5}\cdot M \cdot R^{2}[/tex]
Flat disk
[tex]I = \frac{1}{2}\cdot M \cdot R^{2}[/tex]
Hollow sphere
[tex]I = \frac{2}{3}\cdot M \cdot R^{2}[/tex]
The greater the moment of inertia, the greater the torque to obtain the same angular acceleration. Therefore, the hoop requires the largest torque to receive the same angular acceleration.
