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Simple harmonic motion is very common, In fact, almost all vibrations, if small enough, are approximately simple harmonic. We are often especially interested in the maximum force to which a body may be subject during simple harmonic motion. A safety margin is built into the system to ensure that the system will operate safely up to a required lifetime.
The maximum acceleration experienced by a body undergoing simple harmonic motion is  
\[a_{MAX} = \omega^2 A\]
  where  
\[A , \: \omega\]
  are the amplitude and the angular frequency of the motion.
Suppose a body of mass 0.3 kg executes simple harmonic motion with amplitude  
\[A=2.1 m\]
  and frequency  
\[f=20 Hz\]
.
Then  
\[\omega = 2 \pi f = 2 \pi \times 20 =40 \pi\]
.
Then  
\[a_{MAX} = \omega^2 A = (40 \pi)^2 \times 2.1=33161 m/s^2\]

Now use Newtons Second Law  
\[F=ma\]
.
The maximum force is  
\[F_{MAX} =0.3 \times 33162=9948.6 N\]
.