Two blocks (m=1.0 kg and M=10 kg) and a string (k=200 N/m) are arranged on a horizontal, frictionless surface (in the picture m rests atop M). The coefficient of static friction between the two blocks is .40. What amplitude of simple harmonic motion of the spring-blocks system puts the smaller block on the verge of slipping over the larger block?(adsbygoogle = window.adsbygoogle || []).push({});

a_{com}=F/(mA+mB)

F=-kAcos(ωt) and ω=√(k/(mA+mB)= 4.26

so F=-200Acos(4.26t)

a_{com}=-200Acos(4.26t)/11

=-18.2Acos(4.26t)

This is all I got so far. What I am confused about is that μ_{k}is not given. So isn't it impossible to figure out the acceleration of the top block once static friction is overcome? I also am not given the lengths of the blocks.

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# Homework Help: SHM two-block spring system

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