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enter image description here

Hey everyone, I am a highschool student from New Zealand and I have 4 questions concerning the period of a bifilar pendulum system. It is very much appreciated if you can answer in detailed explanation.

  1. Why does increasing the length of strings L increases the period of oscillation?
  2. How does increasing the length of rod r increases the period of oscillatiion?
  3. How does increasing the seperation D between the two strings lowers the period of oscillation?
  4. How does the strength of gravity g affects the period of oscillation?

The equation given is enter image description here

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  • $\begingroup$ What do you need exactly? If the formula you attached is the solution of this strange pendulum, well, it contains already all the answers you need $\endgroup$ – patta May 27 at 14:00
  • $\begingroup$ Ah you need a "why". I suggest you to make a drawing of this system with the rod a bit rotated; it should clarify all. The only extra brick is the lenght $r$ of the rod, that affect the rotational moment of inertia. $\endgroup$ – patta May 27 at 14:02
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For parts 1-4, the solution is apparent by looking at the period function as a single variable problem, where in each part you hold three of the variables constant. Later, a physicist will derive a formula and have to do checks on each of its parts to see if they make sense physically, so this is good practice, assuming you've already learned moment of inertia of the basic rigid bodies and know that moment of inertia is like rotational mass!

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