A uniform circular disc of radius $\displaystyle{\mathcal{R}}$ is placed on a frictionless horizontal plane.Another **identical** disc rotating with angular velocity $\displaystyle{\omega}$ is gently placed on the top of it.The **time taken** to acquire the **final angular velocity**
can be expressed as
$\dfrac{a}{b} \times \dfrac{\mathcal{R} \omega}{\mu g}$
Where $\displaystyle{\mu}$ is the **coefficient of friction between the plates**.
What is the value of $\displaystyle{a+b}$?

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