Question

Tripling the displacement from equilibrium of an object in simple harmonic motion will change the magnitude of the object’s maximum acceleration by what factor?

Answer 1

a (max)= A (2pi/T)
a (max)= maximum acceleration
A= amplitude
T= periodic time

by definition, amplitude is the displacement from equillibrium point.

we see that maximum acceleration is directly proportional to the amplitude. so tripling the amplitude will triple the maximum acceleration.