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**1. Homework Statement**

A child with poor table manners is sliding his 243 g dinner plate back and forth in SHM with an amplitude of 0.109 m on a horizontal surface. At a point a distance 6.70×10−2 m away from equilibrium, the speed of the plate is 0.250 m/s.

a) What is the period?

b) What is the displacement when the speed is 0.152 m/s?

c) In the center of the dinner plate is a carrot slice of mass 10.7 g. If the carrot slice is just on the verge of slipping at the end point of the path, what is the coefficient of static friction between the carrot slice and the plate?

**2. Homework Equations**

A = sqrt(x^2 + (v^2/w^2))

**3. The Attempt at a Solution**

I tried the above equation and solved the period and the displacement questions with no problem. However, I really don't know where to start with the last one. Could someone give me some insight please? This homework is in the chapter of "Periodic motion", I'm not sure how to link it to the static friction =(

thank you all for your help, really appreciate it!