Pivoting planks.

A horizontal plank of mass mm and length LL is pivoted at one end and is attached by a spring of force constant kk at the other end.

A small mass M is glued at the free end of the plank supported by the spring.

When the plank is displaced upward by a small angle of θ\theta from its equilibrium position and released, it undergoes simple harmonic oscillations at angular frequency expressed as ω=akm+bM.\omega = \sqrt{\dfrac{ak}{m + bM}}. What is a+b?a + b?

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