A uniform beam AB is attached by a frictionless hinge to a vertical wall at end A. The beam is held so that it is horizontal by a metal wire CD, as shown in the figure below:
The beam is of length 
and weight 
. A block of weight 
rests on the beam at a distance of 
from end B. The wire is attached to the beam at point D which is a distance of 
from end B. The wire exerts a force on the beam of 
at an angle of 
to the horizontal. The beam is in equilibrium.
Calculate the vertical component of the force exerted by the wire on the beam.
By taking moments about A, calculate the weight of the block.
The hinge exerts a force on the beam at end A. Calculate the horizontal component of this force.
The block is now placed closer to point D on the beam. State whether this change will increase, decrease, or have no effect on the tension in the wire.
.
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