A block with mass = 5.0 rests on a frictionless table and is attached by a horizontal spring ( = 130 ) to a wall. A second block, of mass = 1.35 , rests on top of . The coefficient of static friction between the two blocks is 0.40.

What is the maximum possible amplitude of oscillation such that will not slip off ?

2 answers

assuming the spring is horizonal.

you have to figure the max force.

forceonTOP block=max spring force=k*D
where D is max amplitude

Now this cannot be greater than the friction force, 1.35*g*mu

k*D=1.35 g mu
d=1.35g*mu/k
check my thinking.
I get 0.041meters. this answer does not seem plausible?