Answer :
The moment of inertia of the object about the dash line is 2.1316 kg·[tex]m^2[/tex].
To calculate the moment of inertia of an object about a given axis, we need to know the mass of the object and its distribution of mass around the axis.
Given that the mass of the object is 4 kg and the distance from the axis of rotation (dash line) is 73 cm, we can calculate the moment of inertia using the formula:
Moment of inertia (I) = m * [tex]r^2[/tex]
Where m is the mass of the object and r is the perpendicular distance from the axis of rotation to the mass element.
Converting the distance from centimeters to meters:
r = 73 cm = 0.73 m
Substituting the values into the formula:
I = 4 kg * (0.73 [tex]m^2[/tex]
Calculating:
I = 4 kg * 0.5329[tex]m^2[/tex]
Simplifying:
I = 2.1316 kg·[tex]m^2[/tex]
Therefore, the moment of inertia of the object about the dash line is approximately 2.1316 kg·.[tex]m^2[/tex]
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