A block of mass m1 sits on a block of mass m2. Block m2 rests on...
A block of mass m1 sits on a block of mass m2. Block m2 rests on a frictionless surface. The coefficient of static friction between block m1and m2 is µ. What is the maximum force F that can be applied to block m2 if block m1 is not to slip across the surface of m2? Express in terms of m1, m2, g, and µ.
Homework Answers
There is no kinetic friction
F - F_sf = m1 a
But F_sf = m2 a ( for no slip condition )
F - m2 a = m1 a
F = (m1 + m2) a
F = (m1 + m2) F_sf / m2
maximum static friction is µ m1 g
Hence
F_max = (m1+m2) µ m1 g / m2
=======================================
Maximum force = µ ( m1/m2 ) ( m1 + m2 ) g
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