your car rides on springs so it will have a natural frequency of oscillation. Figure 1 shows data for the amplitude of motion of a car driven at different frequencies. the car 29 mph over a washboard road with bumps spaced 13 feet apart, the resulting ride is quite bouncy. 1. Determine the frequency of the oscillation, caused by the bumps. 1 mile is 5280 feet. 2. Should the driver speed up or slow down for a smoother ride?
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.
![**Homework Chapter 14 - Attempt 1**
**Item 13**
Your car rides on springs, so it will have a natural frequency of oscillation. Figure 1 shows data for the amplitude of motion of a car driven at different frequencies. The car is driven at 29 mph over a washboard road with bumps spaced 13 feet apart; the resulting ride is quite bouncy.
**Figure 1: Amplitude vs Frequency Graph**
- The graph shows the relationship between amplitude and frequency (f) in Hertz (Hz).
- The amplitude increases to a peak as the frequency increases and then decreases as the frequency continues to rise.
- The peak occurs at a frequency less than 2 Hz, indicating the natural frequency of the car's oscillation.
**Part A**
Determine the frequency of the oscillation caused by the bumps.
1 mile = 5280 feet.
Express your answer with the appropriate units.
\[ f = \]
Submit button available for responses, with the option to request the correct answer.
**Part B**
Should the driver speed up or slow down for a smoother ride?
- Options:
- slow down
- speed up
Submit button available for responses, with the option to provide feedback.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac4f8e21-1216-4df5-899f-d78fb99ff2fb%2F3fd37680-98e2-4d8d-b4f4-55a16fefaf69%2Fdg9schr_processed.jpeg&w=3840&q=75)
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