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Choose the object (from those listed below) that has the LOWEST rotational inert

ID: 1461010 • Letter: C

Question

Choose the object (from those listed below) that has the LOWEST rotational inertia:

A. Solid sphere, mass 1 kg, radius 2 cm, axis of rotation through center B. Thin rod, mass 1 kg, length 2 cm, axis of rotation perpendicular to rod, through one end of rod C. Solid cylinder with mass 1 kg and radius 2 cm, axis of rotation along central axis of the cylinder D. Thin rod, mass 1 kg, length 2 cm, axis of rotation perpendicular to rod, through center of rod E. Hollow cylinder with mass 1 kg and radius 2 cm, axis of rotation along the central axis of the cylinder

Explanation / Answer

D. Thin rod, mass 1 kg, length 2 cm, axis of rotation perpendicular to rod, through center of rod

In this case moment of inertia of rod, I = M*L^2/12

Let M = 1 kg, L = 2 cm

A) I = (2/5)*M*L^2

B) I = M*L^2/3

C) I = M*L^2/2

D) I = M*L^2/12

E) I = M*L^2