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Two unequal masses m and 2m are attached to a thin bar of negligible mass that rotates about an axis perpendicular to the bar. When m is a distance 2d from the axis and 2m is a distance d from the axis, the moment of inertia of this combination is "I". If the masses are now interchanged, the moment of inertia will be:_______
A) 2/3 I,
B) I ,
C) 3/2 I ,
D) 2 I ,
E) 4 I

Respuesta :

Answer:

C) 3/2 I

Explanation:

Initial condition

I = m(2d)² + 2m(d²)

I = 4md² + 2md² = 6md²

swap masses

I' = 2m(2d)² + m(d²)

I' = 8md² + md² = 9md²

I'/I = 9md²/6md² = 3/2

I' = 3/2I

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