2. Rigid-Body in Equilibrium. A nonuniform beam 4.50 m long and weighing 1,000 N makes an angle of 25.0° below the horizontal. It is held in position by a frictionless pivot at its upper right end and by a cable 3.00 m farther down the beam and perpendicular to it. The center of gravity of the beam is 2.00 m down the beam from the pivot. Lighting equipment exerts a 5,000-N downward force on the lower left end of the beam.

College Physics
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Chapter9: Statics And Torque
Section: Chapter Questions
Problem 18PE: In Figure 9.21, the cg of the pole held by the pole vaulter is 2.00 m from the left hand, and the...
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2. Rigid-Body in Equilibrium.
A nonuniform beam 4.50 m long and weighing 1,000 N makes an angle of
25.0° below the horizontal. It is held in position by a frictionless pivot at its upper right end and by a cable
3.00 m farther down the beam and perpendicular to it. The center of gravity of the beam is 2.00 m down
the beam from the pivot. Lighting equipment exerts a 5,000-N downward force on the lower left end of the
beam.
25.0°
Pivot
Cable
Center of gravity
of the beam
(i)
(ii)
(ii)
Sketch the free-body diagram (FBD) of the beam with complete force labels.
Determine the moment arm () of each force. Show complete solution. Put the results in a table.
Determine the sign of the torque, based on the direction of rotation of the beam that is caused
by each torque. Indicate these on your FBD.
Indicate the signs of the torques in the table of results.
Find the tension (T) in the cable and the horizontal and vertical components of the force
exerted on the beam by the pivot (Fpx and Fpy).
(iv)
Transcribed Image Text:2. Rigid-Body in Equilibrium. A nonuniform beam 4.50 m long and weighing 1,000 N makes an angle of 25.0° below the horizontal. It is held in position by a frictionless pivot at its upper right end and by a cable 3.00 m farther down the beam and perpendicular to it. The center of gravity of the beam is 2.00 m down the beam from the pivot. Lighting equipment exerts a 5,000-N downward force on the lower left end of the beam. 25.0° Pivot Cable Center of gravity of the beam (i) (ii) (ii) Sketch the free-body diagram (FBD) of the beam with complete force labels. Determine the moment arm () of each force. Show complete solution. Put the results in a table. Determine the sign of the torque, based on the direction of rotation of the beam that is caused by each torque. Indicate these on your FBD. Indicate the signs of the torques in the table of results. Find the tension (T) in the cable and the horizontal and vertical components of the force exerted on the beam by the pivot (Fpx and Fpy). (iv)
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