Consider a 8·kg rod with a length of 0.6·m and rotating about an axis passing through its center.
(a) What is its rotational inertia?
To determine the rotational inertia of the rod, we need to use the formula:
I = 1/12 * m * L^2
Where:
I is the rotational inertia
m is the mass of the rod
L is the length of the rod
Given that the mass of the rod is 8 kg and the length is 0.6 m, we can substitute these values into the formula to calculate the rotational inertia.
I = 1/12 * 8 kg * (0.6 m)^2
I = 0.1333 kg·m²
Therefore, the rotational inertia of the rod is 0.1333 kg·m².