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Shane Macguire Grade: upto college level
As the amplitude θm in Eq. 17-25 approaches 180°, what value do you expect the period to approach? Explain in physical terms.
2 years ago

Answers : (1)

Jitender Pal
askIITians Faculty
365 Points
										The general equation for the time period, when the pendulum oscillating with large amplitude is,
Here is the maximum angular displacement and T increases with increasing amplitude. Succeeding terms in the finite series becomes smaller and smaller. The value of time period is greater than that of the period when the amplitude is small.
When θm = 180°, then the pendulum approaches to upper extreme position. So, it may fall or complete the rotation depends upon the speed at upper extreme position. But θm = 180° means the speed of pendulum will be zero. Thus it will drop directly down and the movement or oscillation will no longer. Thus oscillation will sink.
2 years ago
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