A vibrating structural beam in a spacecraft can cause problemsif the frequency of vibration is fairly high. Even if the amplitudeof vibration is only a fraction of a millimeter, the acceleration ofthe beam can be several times greater than the acceleration due togravity. As an example, find the maximum acceleration of a beamthat vibrates with an amplitude of 0.25 mm at the rate of 110 vibrations per second. Give your answer as a multiple of g
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
A vibrating structural beam in a spacecraft can cause problems
if the frequency of vibration is fairly high. Even if the amplitude
of vibration is only a fraction of a millimeter, the acceleration of
the beam can be several times greater than the acceleration due to
gravity. As an example, find the maximum acceleration of a beam
that vibrates with an amplitude of 0.25 mm at the rate of 110 vibrations per second. Give your answer as a multiple of g
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