buoy in the ocean oscillates up and down in simple harmonic motion according to the equation y = Acos(bt) as waves move past it, where y is the height t is time, and A and b are constants. The buoy moves a total of 3.5 feet vertically from its high point to its low point. It starts (t=0) at its high point and returns to its high point every 10 seconds
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 buoy in the ocean oscillates up and down in
- Draw diagram of the buoy
- Sketch a graph of the position of the buoy over time, where time is the horizontal axis and height is the vertical axis
- Write an equation describing the motion of the buoy
- Determine the velocity of the buoy as a funciton of t
- What is the maximum velocity of the buoy?
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