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A 60.0-cm, uniform, 50.0-N shelf is supported horizontally
Chapter 5, Problem 8E(choose chapter or problem)
A 60.0-cm, uniform, 50.0-N shelf is supported horizontally by two vertical wires attached to the sloping ceiling (?Fig. E11.8?). A very small 25.0-N tool is placed on the shelf midway between the points where the wires are attached to it. Find the tension in each wire. Begin by making a free-body diagram of the shelf.
Questions & Answers
QUESTION:
A 60.0-cm, uniform, 50.0-N shelf is supported horizontally by two vertical wires attached to the sloping ceiling (?Fig. E11.8?). A very small 25.0-N tool is placed on the shelf midway between the points where the wires are attached to it. Find the tension in each wire. Begin by making a free-body diagram of the shelf.
ANSWER:Solution 8E Step 1: First, we have to draw the free body diagram for the shelf. It is represented in figure 1. Total length of the shelf, L = 60 cm = 0.6 m Position of center of gravity, L = 30gm = 0.3 m Position of the tool from the left side, L tool20 cm = 0.2 m Position of center of gravity from right wire, L ’ = 20 g = 0.10 m Position of the tool from the right wire, L’ tool 20 cm = 0.2 m Total torque on the system can be considered as zero since the system is in rest. Moment on left side of the shelf = 0 Therefore, we can write, That is, Or, Therefore, tension on the right string,