Physics Rotational Mechanics Level: Misc Level

A Yo-Yo sits initially at rest on a table top. The coefficient of static friction between the Yo-Yo and surface of the table is 6/10. The Yo-Yo consists of two disks with a rather thick central spindle, around which is wrapped some string of negligible mass.the moment of inertia of the Yo-Yo is 2/5 m R^2; where R is the outer radius of the Yo- Yo and M is its mass.The radius of the spindle is R/4. Neglect the thickness of the thin'' massless'', string.

A Persion pulls straight up on the string with an applied force F.

What is the largest HORIZONTAL acceleration thatcan be given to the Yo-Yo by this method.Express your answer as a multiple of g.