hanging beam physics problem!
A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.6 kg and the sign has a mass of ms = 16.5 kg. The length of the beam is L = 2.73 m. The sign is attached at the very end of the beam, but the horizontal wire holding up the beam s attached 2/3 of the way to the end of the beam. The angle the wire makes with the beam is θ = 34.3°.
1)What is the tension in the wire?
2)What is the net force the hinge exerts on the beam?
3)The maximum tension the wire can have without breaking is T = 846 N.
What is the maximum mass sign that can
Stacey Warren - Expert brainly.com
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heres my thought
compare moments and put the system in a state of equilibrium.
i choose left side for my fulcrum point (x)
downward moment is the sum of the products of the 2 centers of gravity, beam: 2.73(6.6)/2 ; sign: 2.73(16.5)
the upward moment is the product of the distance of the center of gravity at the wires point of connection to the beam: F*2.73(2)/3
up-down = 0
\[F*1.82-(9.009+45.045) = 0\]
now tension is a magnitude in the wire; and we can now determine that by the product of the Force and the sin of the angle given.