Understanding Oscillatory Motion: Relationship Between Length and Time

[Black-Enigma]

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

 

[tiny-tim]

Welcome to PF!

I am guessing the relationship is t : √L

Hi Black-Enigma ! Welcome to PF!

Guessing is no good!

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

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.

 

[Black-Enigma]

Hi tinytim, the ruler is being rotated about 45 degrees and then released. It oscillates back and forth.

thanks