consider a long (15m) uniform wooden beam (60kg) attached horizontally to a wall

Question

consider a long (15m) uniform wooden beam (60kg) attached horizontally to a wall that can only support a vertical load (the horizontal component of the force of the wall on the beam is 0). there is a chandelier (40kg) hanging at a distance 4.21m from the end of the beam that is attached to the wall. there is a vertical cable hanging down from the ceiling that is attached to the other end of the beam that is in mid air. the entire structure is in equalibruim. determine the tension in the vertical cable.

Explanation / Answer

Let the reaction vertical from wall be R,

take moment from the point of beam conected to wall:

4.21*40g + 7.5*60g = T*15

T = 404.02N

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