The man attempts to pull down the tree using the cable and small pulley arrangement shown. The tension in AB is 55 lb and γ = 30 degrees.

image:
https://session.masteringengineering.com/problemAsset/2086472/5/Hibbeler14.ch3.p7.jpg

Determine the tension in cable CAD.

Determine the angle θ which the cable makes at the pulley.

Question

The man attempts to pull down the tree using the cable and small pulley arrangement shown. The tension in AB is 55 lb and γ = 30 degrees.

image:
https://session.masteringengineering.com/problemAsset/2086472/5/Hibbeler14.ch3.p7.jpg

Determine the tension in cable CAD.

Determine the angle θ which the cable makes at the pulley.

irishboy123 · Answer

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radar · Answer

I like it when there is a diagram on the same page as post/posts.  Neat!

radar · Answer

Lets hope that the height of the tree does not exceed the distance of CB lol

prior · Answer

I am not so sure how to go about this problem could anyone please help me?

irishboy123 · Answer

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I'd make a FBD on the pulley as shown in blue, then resolve the forces according to the coordinate system in red along x and y directions

the pulley is in equilibrium so $\Sigma \vec F = \vec 0$

the tension,  $T_{DAC}$, ie in the string $D \to A \to C$ should be the same throughout.

So you should get 2 equations - in x and y direction - in 2 unknowns, which are $\theta$ and $T_{DAC}$

osprey · Answer

@radar I'd like the diagrams that way too. Problem is that this site's graphics and overall support in that department are beyond me (actually, most of the site is beyond me). So, I do the whole lot off line, and attach the file. Also gives me thinking time, so I don't make a complete expletive up of it. I see you are a RAdio Direction And Range ... http://perendis.webs.com

irishboy123 · Answer

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there's a Chrome extension that works very well for hooking in image URLs