Laws Of Motion Question 343

Question: A particle of mass m rotates with a uniform angular speed$ \omega $ . It is viewed from a frame rotating about the z-axis with a uniform angular velocity$ {{\omega } _{0}} $ . The centrifugal force on the particle is:

Options:

A) $ m{{\omega }^{2}}r $

B) $ m{{\omega }^{2}}r $

C) $ m( \frac{\omega +{{\omega } _{0}}}{2} )a $

D) zero

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Answer:

Correct Answer: B

Solution:

[b] The centrifugal force on the particle $= mass \times acceleration of the frame $

$=\text{ }m\times {{\omega } _{0}}^{2}\text{r=m}{{\omega } _{0}}^{2}\text{r}$



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