Help Draw and discuss the FBD for the following system.• Label all forces and directions.• How many unknowns are there? (Remember, an unknown does not have to be a force. Itcan also be a dimension, angle, etc.)• How many equilibrium equations can you create?●Is there enough information to solve for the unknowns? Explain.Draw ball A as your particle.y0.4 mmA = 5 kgA0.4 m60°1By = 2.5x²X

Answered: Draw and discuss the FBD for the…

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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Draw and discuss the FBD for the following system.
• Label all forces and directions.
• How many unknowns are there? (Remember, an unknown does not have to be a force. It
can also be a dimension, angle, etc.)
• How many equilibrium equations can you create?
●
Is there enough information to solve for the unknowns? Explain.
Draw ball A as your particle.
y
0.4 m
mA = 5 kg
A
0.4 m
60°
1
B
y = 2.5x²
X

Expert Solution

Step 1: Free-body diagram

The free-body diagram of the mass A in the given system is shown below.

Here, we have two unkown to solve in this problem.

The angle $straight theta subscript 1$
The mass of Block B.

To solve for the first unkown:

From the given image, at x = 0.4 m, Sphere A contacts with parabolic slope surface. We need to find the slope at x=0.4m to find the angle. For this, we need to take dervative of the given parabolic curve.

This will provide us the unkown angle $straight theta subscript 1$ .

y=2.5x²

dy/dx = y' = 5x

Now, substituing the value of x = 0.4 m, we get,

y' = 2 m

Now by using the following geometrical relationship of parabolic curve, we can get the angle.

y'= tan ( $straight theta subscript 1$ )

Therefore,

tan ( $straight theta subscript 1$ ) = 2

$straight theta subscript 1$ = tan^-1 2 = 63.4 $degree$

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