Concept explainers
Determine the x and y components of each of die forces shown.
Fig. P2.22
To determine the x and y components of the forces shown in figure P2.22.
Answer to Problem 2.22P
The x component of the
The x component of the
The x component of the
Explanation of Solution
Refer figure P2.22.
The simplified diagram of the figure P2.22 is shown in figure 1 below. Figure 1 shows all the three components of force and the corresponding position vectors and their magnitudes. Position vectors
Let
Write the equation to find the magnitude of position vector
Here,
Write the equation to find the magnitude of position vector
Here,
Write the equation to find the magnitude of position vector
Here,
Let
Write the equation to find the x component of the
Here,
Here,
Similarly write the equation to find the y component of
Here,
Rewrite the equation of y component of
Here,
Write the equation to find the x component of the
Here,
Here,
Similarly write the equation to find the y component of
Here,
Here,
Write the equation to find the x component of the
Here,
Here,
Similarly write the equation to find the y component of
Here,
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, The x component of the
The x component of the
The x component of the
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Chapter 2 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
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