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#rotation axis

2 public questions tagged with this topic.

Vector Product and Rotational Kinematics

For a body rotating about a fixed axis, what is true about particles on the axis?

Particles on the axis of rotation have a perpendicular distance r = 0 from the axis, so their linear velocity v = ωr = 0, meaning they remain stationary. As per NCERT, applying relevant law/formula with correct units and sign convention leads to They remain stationary. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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

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Rotational Kinetic Energy and Dynamics

What happens to the linear velocity of a particle as its distance from the axis of rotation increases?

Linear velocity v = ωr increases with distance r from the axis because angular velocity ω is constant for a rigid body, and v is directly proportional to r. As per NCERT, applying relevant law/formula with correct units and sign convention leads to It increases. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

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

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