Answered: 90.0° 90.0° 45.0° 90.0°

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

In Fig. the weight w is 60.0 N. (a) What is the tension
in the diagonal string? (b) Find the magnitudes of the horizontal
forces F S
1 and F S
2 that must be applied to hold the system in the position
shown.

Expert Solution

Step 1

The free body diagram of the system at the lower joint end is as follows:

Step 2

Apply the Lami's theorem on the system is as follows:

$\begin{array}{rcl} \frac{T}{\sin 90 °} & = & \frac{F_{2}}{\sin 135 °} = \frac{60}{\sin 135 °} \\ N o w, \\ T & = & 84.85 N \\ A n d, \\ F_{2} & = & 60 N \end{array}$

Again, draw free body diagram of the system at the upper joint as follows:

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