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P a Particle of Mass M Rotates with a Uniform Angular Speed ω. It is Viewed from a Frame Rotating About the Z-axis with a Uniform Angular Speed ω0 - Physics

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ConceptDynamics of Uniform Circular Motion - Centripetal Force

Question

A particle of mass m rotates with a uniform angular speed ω. It is viewed from a frame rotating about the Z-axis with a uniform angular speed ω0. The centrifugal force on the particle is 

  • 2

  • \[\text{ m } \omega_0^2 \text{ a }\]  

  • \[\text{ m } \left( \frac{\omega + \omega_0}{2} \right)^2 \text{a}\]

  • mω ω0 a. 

Solution

\[\text{ m} \omega_0^2 \text{ a}\]  

The centrifugal force on the particle depends on the angular speed (ω0) of the frame and not on the angular speed (ω) of the particle. Thus, the value of centrifugal force on the particle is \[\text{ m } \omega_0^2 \text{ a }\]. 

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Solution P a Particle of Mass M Rotates with a Uniform Angular Speed ω. It is Viewed from a Frame Rotating About the Z-axis with a Uniform Angular Speed ω0 Concept: Dynamics of Uniform Circular Motion - Centripetal Force.
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