Bearing Hinges

Bearing Hinges
I Need Help with a Physics Problem?

If anyone can help me out with this I would really appreciate it :) I can not come up with the right answer that's in the book.

A hungry 800 N bear walks out on a beam in an attempt to retrieve some "goodies" hanging at the end (shown in the figure linked below). The beam is uniform, weighs 150 N, and is 6.00 m long; the goodies weigh 95.0 N.

http://www.webassign.net/sercp/p8-20.gif

(b) When the bear is at x = 1 m, find the tension in the wire and the components of the reaction force at the hinge.
______ N (tension)
______ N (horizontal reaction)
______ N (vertical reaction)

(c) If the wire can withstand a maximum tension of 900 N, what is the maximum distance the bear can walk before the wire breaks?

Let's calculate the moment about the base of the beam:

remember that only the vetical component of tension is used
in the Moment because the horizontal component passes
through the base.

W_bearx1 + W_beam x 3 + W_goodies x 6 = T_wire x sin60 x 6
800 + 450 + 570 = 5.2 x T_wire
T_wire = 0.192*(570+450+800)=350.26 N

the horizontal reaction is equal to the horizontal component of the
cable

R_horizontal = 350.26 x cos60 175.13 N

R_vertical - 800 - 150 - 95 + 350.26 xsin60 = 0
R_vertical=800 + 150 + 95 - 350.26 xsin60 = 741.66594 N

c/

refer back to the moment equation:

W_bear x X + W_beam x 3+W_goodies x 6 =T_wire x sin60 x 6

T_wire = 900 means the bear is going for a plummet

solve for X

W_bear x X + W_beam x 3 + W_goodies x 6 = 900 x sin60 x 6
W_bear x X = 3656.5
X= 4.57

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