A majorette takes two batons and fastens them together in the middle at right angles to make an "x" shape.Each baton was 0.80 m long and each ball on the end is 0.20 kg.(Ignore the mass of the rods. )What is the moment of inertia if the arrangement is spun around an axis formed by one of the batons? A)0.048 kg*m² B)0.064 kg*m² C)0.19 kg*m² D)0.32 kg*m²

Question

Quizplus · Accepted Answer

The moment of inertia for a point mass is given by I = mr². Since the arrangement is spun around one of the batons, only the two balls on the other baton contribute to the moment of inertia. Each ball is 0.80 m from the axis, so I = 2 * (0.20 kg) * (0.80 m)² = 0.064 kg·m².

A Majorette Takes Two Batons and Fastens Them Together in the Middle