Question

A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of m_b = 6.8 kg and the sign has a mass of m_s = 17.6 kg. The length of the beam is L = 2.89 m. The sign is attached at the very end of the beam, but the horizontal wire holding up the beam is attached 2/3 of the way to the end of the beam. The angle the wire makes with the beam is θ = 30.3°.

3) The maximum tension the wire can have without breaking is T = 999 N.

*What is the maximum mass sign that can be hung from the beam?

4)What else could be done in order to be able to hold a heavier sign?

_while still keeping it horizontal, attach the wire to the end of the beam

_keeping the wire attached at the same location on the beam, make the wire perpendicular to the beam

_attach the sign on the beam closer to the wall

_shorten the length of the wire attaching the box to the beam

Answer 1

3) under equilibrium condition, &T=0 mby () WsO-T (34) sono + mg (1.059)=0 mkyT (3) Sho+ms 9 = 0 ms.max - 2 Tmax tomo ab 39 mi max = 2(9998) ton 3003° 6.3 kg 3 (9.8 M/7) = 36.3 kg while still keeping it horizontal, attach to the end of the beam. the wire > keeping the wire attached at the same location on the beam, make the wire perpendiculas to the beam. → attach the sign on the beam closer to the wall.