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#rolling sphere

2 public questions tagged with this topic.

A solid sphere of mass 3kg and radius 0.1m rolls without slipping down an incline. If its linear speed is 5m/s, what is

For rolling without slipping: v = ωr. v = 5m/s, r = 0.1m. ω = vr = 50.1 = 50rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 50 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

A solid sphere of mass 2kg and radius 0.3m rolls without slipping with an angular velocity of 10rad/s. What is its linea

v = ωr. ω = 10rad/s, r = 0.3m. v = 10×0.3 = 3m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.0 m/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.