Answered: Can the two blocks be in equilibrium in…

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

Can the two blocks be in equilibrium in the position shown? Justify your answer. All surfaces are frictionless except the horizontal surface beneath block B.

Expert Solution

Step 1

Given Data:

The weight of block A is W_A = 120 lb.
The weight of block B is W_B = 80 lb.
The coefficient of static friction is $μ_{s} = 0.2 .$

The free-body diagram of block A can be drawn as,

Step 2

Assuming block A to be in the equilibrium, apply force balance in the vertical direction,

$\begin{array}{rcl} N \cos 20 ° & = & 120 lb . \\ N & = & 127.7 lb . \end{array}$

The free-body diagram of the Block B can be drawn as,

Applying force balance in the vertical direction,

$\begin{array}{rcl} R' & = & N \cos 20 ° + W_{B} \\ = & 120 lb + 80 lb \\ = & 200 lb \end{array}$

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