An automobile can be considered to be mounted on four identical springs as far as vertical oscillations are concerned. The springs of a certain car are adjusted so that the oscillations have a frequency of 2.54 Hz. (a) What is the spring constant of each spring if the mass of the car is 1590 kg and the mass is evenly distributed over the springs? (b) What will be the oscillation frequency if five passengers, averaging 78.0 kg each, ride in the car with an even distribution of mass?
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.
An automobile can be considered to be mounted on four identical springs as far as vertical oscillations are concerned. The springs of a certain car are adjusted so that the oscillations have a frequency of 2.54 Hz. (a) What is the spring constant of each spring if the mass of the car is 1590 kg and the mass is evenly distributed over the springs? (b) What will be the oscillation frequency if five passengers, averaging 78.0 kg each, ride in the car with an even distribution of mass?
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