(II) Three vectors are shown in Fig. 3–35. Their

Chapter 3, Problem 9P

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QUESTION:

(II) Three vectors are shown in Fig. 3–35. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. Give the resultant in terms of () components, () magnitude and angle with the \(+x\) axis.

FIGURE 3-35 Problems 9, 10, 11, 12, and 13. Vector magnitudes are given in arbitrary units.

Equation Transcription:

Text Transcription:

+x

vector B (B=26.5)

56.0deg

vector A (A=44.0)

28.0deg

vector C (C=31.0)

Questions & Answers

QUESTION:

(II) Three vectors are shown in Fig. 3–35. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. Give the resultant in terms of () components, () magnitude and angle with the \(+x\) axis.

FIGURE 3-35 Problems 9, 10, 11, 12, and 13. Vector magnitudes are given in arbitrary units.

Equation Transcription:

Text Transcription:

+x

vector B (B=26.5)

56.0deg

vector A (A=44.0)

28.0deg

vector C (C=31.0)

ANSWER:

Step 1 of 3

Part (a)

The magnitude of vector A in the x direction is,

                                                                     

For  and .

                                                                   

The magnitude of vector A in the y direction is,

                                                                     

For  and .

                                                                 

The magnitude of vector B in the x direction is,

                                                                   

For  and .

                                                                   

The magnitude of vector B in the y direction is,

                                                                   

For  and .

                                                                 

 

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