B$30\backslash$deg $30\backslash$deg D

If the bucket in the diagram above weighs $50$ Ibs, determine the following if the system is in equilibrium: $($Hint: Analyse joints E an B separately$)$

$($a$)$ The magnitude of the tension developed in rope ED$.$ Answer in Ibs.

$($b$)$ The magnitude of the tension developed in rope EB$.$ Answer in Ibs.

Answer:

$($c$)$ The magnitude of the x$-$component of the tension developed in rope EB$.$ Answer in lbs

$($D$)$The magnitude of the y$-$component of the tension developed in rope EB$.$ Answer in lbs

$($e$)$ The magnitude of the x$-$component of the tension developed in rope BC$.$ Answer in Ibs.

$($F$)$The magnitude of the y$-$component of the tension developed in rope BC$.$ Answer in Ibs.

$($G$)$ The magnitude of the tension developed in rope BA$.$ Answer in Ibs.

H$)$ If the magnitude of the tension developed in rope BA is now $100$ lb$,$ determine the following:

$($i$)$The new magnitude of the tension developed in rope EB$.$ Answer in lbs$.$

$($ii$)$The new magnitude of the tension developed in rope ED$.$ Answer in lbs$.$

$($iii$)$The new weight of the bucket. Answer in lbs$.$