Problem 8:   Consider a rigid steel beam of length L = 11.5 m and mass mb = 412 kg resting on two supports, one at each end. A worker of mass mw = 78 kg sits on the beam at a distance x from support A. Refer to the figure, though note that it is not drawn to scale. Part (a)  When the worker sits at a distance x = 4.5 m from support A, calculate the force, in newtons, that support B must exert on the beam in order for it to remain at rest. Use g with three significant figures.  Part (b)  The force exerted on the beam by support A is measured and found to be FA = 2180 N. At what distance x, in meters, from support A is the worker sitting now?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 31PQ: A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm...
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Problem 8:   Consider a rigid steel beam of length L = 11.5 m and mass mb = 412 kg resting on two supports, one at each end. A worker of mass mw = 78 kg sits on the beam at a distance x from support A. Refer to the figure, though note that it is not drawn to scale.

Part (a)  When the worker sits at a distance x = 4.5 m from support A, calculate the force, in newtons, that support B must exert on the beam in order for it to remain at rest. Use g with three significant figures. 

Part (b)  The force exerted on the beam by support A is measured and found to be FA = 2180 N. At what distance x, in meters, from support A is the worker sitting now? 

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