A $\backslash (12\mathrm{.}4-\backslash$mathrm$\{$kg$\}\backslash )$ object hangs in equilibrium from a string with a total length of $5\mathrm{.}20$ m and a linear mass density of $\backslash (\backslash$mu$=0\mathrm{.}00200\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}\backslash ).$ The string is wrapped around two light frictionless pulleys that are separated by a distance of $\backslash ($ d$=2\mathrm{.}00\backslash$mathrm$\{$~m$\}\backslash ).$

$($a$)$ Determine the tension in the string.

E

Your response differs from the correct answer by more than $10\backslash \%.$ Double check your calculations. N

$($b$)$ At what frequency must the string between the pulleys vibrate in order to form the standing$-$wave pattern shown in Figure b$?$

Your response is within $\backslash (10\backslash \%\backslash )$ of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four$-$digit accuracy to minimize roundoff error. Hz