Respuesta :
The statement true about the boy's moment of inertia with respect to the axis of rotation is "His moment of inertia is 4 times the girl's".
What is moment of inertia?
The moment of inertia is the amount of rotation obtained by an object when it is in state of motion or rest.
A boy and a girl are riding on a merry-go-round that is turning. The boy is twice as far as the girl from the merry-go-round's center. The boy and girl are of equal mass.
Moment of inertia is given by I = mr²where m is the mass and r is the distance from the axis of rotation.
For girl, I = mr²
For boy with twice the distance from axis
I = m(2r)²I = 4mr²
On comparison, we have The boy's moment of inertia is 4 times less than the girl's.
Thus, the statement true about the boy's moment of inertia with respect to the axis of rotation is "His moment of inertia is 4 times the girl's".
Learn more about moment of inertia.
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