Two weights, A and C, are fixed to a bar, B. Their masses are: A = 60 kg, B = 230 kg, C = 45 kg. B is, in turn, connected to a fixed vertical post by a hinge and a support cable D. The geometry of the system is shown at right. Treat weights A and C as point masses a)What is the tension in support cable D? Be sure to include a detailed free body diagram to accompany your analysis.
Two weights, A and C, are fixed to a bar, B. Their masses are: A = 60 kg, B = 230 kg,
C = 45 kg. B is, in turn, connected to a fixed vertical post by a hinge and a support cable
D. The geometry of the system is shown at right. Treat weights A and C as point masses
a)What is the tension in support cable D? Be sure to include a detailed free
body diagram to accompany your analysis.
b) What is the magnitude of the force provided by the hinge?
c) What is the moment of inertia of the A + B + C as a rigid system, for rotation
about the hinge?
For analysis, break the beam into a short piece to the left of the
hinge, and a separate longer piece to the right of the hinge.
If the support cable D on should break,
d) what is the angular acceleration of the beam and weights at the moment the cable breaks?
e) what is the magnitude of the linear acceleration experienced by each of the weights, A and C, at moment the cable breaks?
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