9853

Standing on a Beam Supported by a Cable

A worker stands at a distance along a beam whose left end is set into a wall and whose right end is suspended from a cable attached to the wall at height . The beam has mass =20 kg and length =8 m. The Demonstration calculates the tension of the beam at the wall and the tension of the cable in newtons (N), with angles and , respectively.

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DETAILS

For the conditions of static equilibrium, we have
,
,
where and are the forces in the and directions, is the mass of the worker, is the gravitational acceleration, is the weight of the beam and
),
with being the torque and the factor being the center of mass.
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