The moment of inertia of a slim rod about a transverse axis through one end is mL²/3,where m is the mass of the rod and L is its length.The moment of inertia of a 0.24-kg meterstick about a transverse axis through its center is A)0.14 kg · m² B)20 kg · m² C)0.020 kg · m² D)80 kg · m² E)4.5 kg · m²

Question

Quizplus · Accepted Answer

Using the given formula, I = mL²/3, and substituting in the given values for the mass and length of the meterstick, we get: I = (0.24 kg) × (1 m) × (0.5 m)2/3 = 0.020 kg · m² Therefore, the moment of inertia of the meterstick about a transverse axis through its center is 0.020 kg · m² (option C).

The Moment of Inertia of a Slim Rod About a Transverse