Concepts Of Physics MCQ Edition [Volume 1]PhysicsRotational Mechanics
A sphere rotates about a diameter.
Options
- AThe particles on the surface of the sphere experience no linear acceleration.
- BThe particles on the aforementioned diameter experience no linear acceleration.
- CAll particles on the surface share the same linear speed.
- DDifferent particles on the surface possess distinct angular speeds.
Correct answer
B. The particles on the aforementioned diameter experience no linear acceleration.
Step-by-step solution
When a sphere rotates about a diameter, the diameter acts as the axis of rotation. The particles on the axis of rotation have a perpendicular distance r = 0 from the axis. Therefore, their linear speed v = r = 0 and centripetal acceleration a_c = r ^2 = 0 . Thus, they experience no linear acceleration. Particles on the surface have varying perpendicular distances from the axis, so their linear speeds v = r vary depending on their position. They also experience centripetal acceleration, meaning they have non-zero li