Question

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)
25.
Eroooooon_m
26
ma
(2) 2ma
4ma
To (4) K​

Answer 1

we have to find out maximum compression of the spring.

here plank is moving rightward with an acceleration a, so block of mass m is located in non-inertial frame of reference. applying Pseudo force F = ma just opposite direction on it.

let maximum compression of spring is x.

according to work-energy theorem,

workdone by force F on spring = spring potential energy

or, ma × x = 1/2 kx²

or, x = 2ma/k

hence, maximum compression of spring is 2ma/k