#### 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 ω_{0}. The centrifugal force on the particle is

mω

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

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

mω ω

_{0}a.

#### Solution

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

The centrifugal force on the particle depends on the angular speed (ω_{0}) of the frame and not on the angular speed (ω) of the particle. Thus, the value of centrifugal force on the particle is \[\text{ m } \omega_0^2 \text{ a }\].

Is there an error in this question or solution?

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.