A massless beam is suspended between two scales that are separated by 3.90 m as

Question

A massless beam is suspended between two scales that are separated by 3.90 m as shown in the diagram below. The scales measure a force in newtons. Three weights are hanging from the beam: Weight X = 74.1 N is D1 = 1.33 m from scale A, weight Y = 102.2 N is D3 = 1.64 m from scale B and weight Z = 29.1 N is hanging directly under scale B. Note that D2 = 0.93 m.

What do the scales read?

Scale A:
Scale B:

A massless beam is suspended between two scales that are separated by 3.90 m as shown in the diagram below. The scales measure a force in newtons. Three weights are hanging from the beam: Weight X = 74.1 N is D1 = 1.33 m from scale A, weight Y = 102.2 N is D3 = 1.64 m from scale B and weight Z = 29.1 N is hanging directly under scale B. Note that D2 = 0.93 m. What do the scales read? Scale A: Scale B:

Explanation / Answer

Ma = 29.1x3.9+102.2x2.26 + 74.1x1.33 = 3.9xBy

By = (113.49 + 230.972 + 98.553) / 3.9 = 113.59 N

Ay = 74.1 + 102.2 + 29.1 - 113.59 = 91.81 N

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