Physics - Rotation Question with Solution | TestHub

A double pulley shaped device mounted on a horizontal frictionless axis is used to lift a 30 kg box as shown in figure. The outer radius R of the device is 0.50 m, an the radius r of the hub is 0.20 m. When a constant horizontal force of magnitude 152 N is applied in the left direction to a rope wrapped around the outer circumference of the device, the box, which is suspended from a rope wrapped around the hub, has an upward acceleration of magnitude 0.80 $\mathrm{m}/{\mathrm{s}}^2$. The rotational inertia (in $\mathrm{kg}-{\mathrm{m}}^2$ ) of the device about its axis of rotation is $I$. Fill $10I$ in the OMR sheet.