What is the maximum compression in the spring, if the lower block is shifted to rightward with acceleration a? (given that all surfaces are smooth as shown)
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If you see from the lower block frame of reference. A pseudo force 'ma' acts on the block.
This 'ma' acts backwards and compresses spring by 'x'
Under maximum compression the forces are balanced
kx = ma
Therefore
x = ma/k
Max compression = ma/k
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