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A pendulum swings back and forth from a string. When it is lying motionless it is y=6 ft from a nearby wall. When the pendulum is furthest from the wall, it is 9 ft. It takes 20 seconds to complete one cycle. Suppose you start timing the pendulum when it is furthest from the wall.
a) Sketch a graph of this situation.
b) Write an equation of this sinusoidal.
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Step 1
The diagram which represents above problem is shown in the fig below:
At the mean position, y=6 ft, and at the extreme position y=9 ft. So that the amplitude of the motion is 3 ft. Also given that the time period of the motion is 20 s. The graph of this oscillation is shown below:
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