Respuesta :
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:
[tex]\tau_f =I\alpha\\\\[/tex]
And [tex]\tau_f=rf[/tex], 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 [tex]rf\sin90\°=rf[/tex]. Then, we have that:
[tex]rf=I\alpha\\\\\implies I=\frac{rf}{\alpha}\\\\[/tex]
Plugging in the given values, we obtain:
[tex]I=\frac{(0.39m)(6.7N)}{1.8rad/s^{2} } =1.4kgm^{2}[/tex]
In words, the total moment of inertia is equal to 1.4kgm².
