A barbell consists of two point masses connected by a light rod of length

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A barbell consists of two 0.50 kg0.50\,\text{kg} point masses connected by a light rod of length 0.60 m0.60\,\text{m}. A safety specification states that the rotational inertia about any axis perpendicular to the rod must be less than 0.18 kg⋅m20.18\,\text{kg}\cdot\text{m}^2. Two candidate axes are considered, both perpendicular to the rod and located at distances measured along the rod from its center: • Axis A is 0.20 m0.20\,\text{m} from the center. • Axis B is 0.35 m0.35\,\text{m} from the center. Which option correctly identifies whether each axis satisfies the specification? (a) Both axes satisfy the specification. (b) Only axis A satisfies the specification. (c) Neither axis satisfies the specification. (d) Only axis B satisfies the specification.

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