(a) If you increase the length of a pendulum by a factor of 5, how does the new period $T_N$ compare to the old period $T$? $frac{T_N}{T} =$ (b) If you decrease the length of the pendulum by 25%, how does the new period $T_N$ compare to the old period $T$? $frac{T_N}{T} = $
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Step 2: Calculate the ratio of the new period to the original period when the length of the pendulum is decreased by 25%. Step 3: Write the final answers in bold LaTeX format. Step 1: Given that the new length is 5 times the original length, the ratio of the new Show more…
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(a) If you increase the length of a pendulum by a factor of 2, how does the new period TN compare to the old period T? (b) If you decrease the length of the pendulum by 20%, how does the new period TN compare to the old period T? If the length of the pendulum decreases, what should happen to the period?
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(a) If a pendulum has period $T$ and you double its length, what is its new period in terms of $T ?$ (b) If a pendulum has a length $L$ and you want to triple its frequency, what should be its length in terms of $L ?$ (c) Suppose a pendulum has a length $L$ and period $T$ on earth. If you take it to a planet where the acceleration of freely falling objects is 10 times what it is on earth, what should you do to the length to keep the period the same as on earth? (d) If you do not change the pendulum's length in part (c), what is its period on that planet in terms of $T ?$ (e) If a pendulum has a period $T$ and you triple the mass of its bob, what happens to the period (in terms of $T$ )?
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