\[T=2\pi \sqrt{l/g}\] What happens when you increase g by 5% in this formula(keep l same)? Any guesses?
Correct. So, what happens to time period T?
One period is the time taken to complete one oscillation. You can say that there would be more oscillations in a particular period of time. So, time period of one oscillation increases or decreases?
Yes. There you go! Did you understand why should it be so?
A decrease in time period means that now less time will be taken for one oscillation. So, oscillations will be faster indeed. Suppose originally the time period of a simple pendulum was 1s. If g is increases by 5%, then the time period will become 0.97 s(Using that formula). That means, now the pendulum will complete an oscillation in only 0.97 s Now, clear?
Is it a stress vs strain graph? Then, it always follow the linear relation as long as it follows Hooke's Law.
Yes, even if the force-position graph is linear, Hooke's law is obeyed. Hooke's law has the form F=ax,where a is a costant and x is the position.
Yup.
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