Answer:
I = 1.4kgm²
Explanation:
The rotational motion is caused by the frictional force, which generates a torque on the system. As there is no other force that creates a torque, this can be expressed in the equation of rotational motion below:
And , where r is the distance from the point of application and the rotation axis, and f is the magnitude of the frictional force. This is because the frictional force is applied in the direction that causes the greatest angular acceleration (this is, 90°) and . Then, we have that:
Plugging in the given values, we obtain:
In words, the total moment of inertia is equal to 1.4kgm².