Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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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?
Transcribed Image Text:The diagram depicts a mechanical setup consisting of two masses, labeled A and C, connected by a rod with a hinge. Here’s a detailed explanation of the components and measurements:
- **Mass A**: Positioned at one end of the rod, close to the hinge.
- **Mass C**: Located at the other end of the rod, 3.4 meters from mass A.
- **Hinge**: The rod is pivoted at a hinge, which is depicted as a black dot.
- **Measurements**:
- The distance from the hinge to mass A is 0.5 meters.
- The vertical distance from the hinge to the wall is 1.3 meters.
- A horizontal line, labeled as D, is 1.1 meters away from mass C.
- An inclined line, labeled as B, connects the hinge to mass C, crossing the horizontal line (D).
The diagram visually represents the lever system, with vectors indicating forces or tensions acting along the rod. This setup could be used for analyzing mechanical equilibrium, torque, or force distribution across the rod in a physics problem.
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