A horizontal circular disc rotates with constant angular speed $9{\text{ }}rad{\text{ }}{s^{ - 1}}$ about its centre $O$. A particle of mass $0.05{\text{ }}kg$ is placed on the disc at a distance $0.4{\text{ }}m$ from $O$. The particle moves with the disc and no sliding takes place. Calculate the magnitude of the resultant force exerted on the particle by the disc.
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