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The drawing shows two strings that have the same length and linear density. The

ID: 2225422 • Letter: T

Question

The drawing shows two strings that have the same length and linear density. The left end of each string is attached to a wall, while the right end passes over a pulley and is connected to objects of different weights (WA and WB). Different standing waves are set up on each string, but their frequencies are the same. If WA = 35 N, what is WB?

Explanation / Answer

Answered By Mohsen ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ Note: Rate best answer first. -------------------------------------------------- f = c/? = ?(T/?)/? ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ fA = ?(TA/?A)/?A = ?(TA/?A)/(2L) ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ fB = ?(TB/?B)/?B = ?(TB/?B)/(L) ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ fA = fB ==> ?(TA/?A)/(2L) = ?(TB/?B)/(L) ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ==> ?(TA)/2 = ?(TB) ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ==> ?35/2 = ?TB ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ==> TB = 8.75 N

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