Understanding Oscillatory Motion: Relationship Between Length and Time

AI Thread Summary
The discussion focuses on understanding the relationship between the length of a string and the time period of oscillation in a system where a 1-meter ruler is suspended and rotated. Participants clarify that guessing the relationship as t : √L is insufficient without proper analysis. A suggestion is made to create a force diagram to derive the correct equation for simple harmonic motion (SHM). The ruler's oscillation occurs after being released from a 45-degree angle. Accurate calculations and diagrams are essential for determining the precise relationship between length and time in oscillatory motion.
Black-Enigma
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Hi everyone,

Could someone please help me with the fundamentals of oscillatory motion.

A 1 metre ruler is suspended on both ends by two strings attatched to retort stands. The length of the string is increased to observe the increase in period of oscillation.

I need to know the relationship between L (length of string) and t (time)

I am guessing the relationship is t : √L

Thanks

p.s I need the answer ergently
 
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Welcome to PF!

Black-Enigma said:
I am guessing the relationship is t : √L

Hi Black-Enigma ! Welcome to PF! :smile:

Guessing is no good! :rolleyes:

(is the rule moving parallel to its length, or sideways? :confused:)

Hint: do a force diagram to work out the force at a typical angle.

That will give you an SHM equation, and the coefficient will tell you the relationship between L and t. :smile:
 
Hi tinytim, the ruler is being rotated about 45 degrees and then released. It oscillates back and forth.

thanks
 
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