Although California is known for earthquakes, it has large regions dotted with precariously balanced rocks that would be easily toppled by even a mild earthquake. Apparently no major earthquakes have occurred in those regions. If an earthquake were to put such a rock into sinusoidal oscillation (parallel to the ground) with a frequency of 2.2 Hz, an oscillation amplitude of 1.0 cm would cause the rock to topple.What would be the magnitude of the maximum acceleration of the oscillation, in terms 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.
Although California is known for earthquakes, it has
large regions dotted with precariously balanced rocks that would
be easily toppled by even a mild earthquake. Apparently no major
earthquakes have occurred in those regions. If an earthquake were
to put such a rock into sinusoidal oscillation (parallel to the
ground) with a frequency of 2.2 Hz, an oscillation amplitude of 1.0
cm would cause the rock to topple.What would be the magnitude
of the maximum acceleration of the oscillation, in terms of g?
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