Concept explainers
The speed
Answer to Problem 11.131P
The speed
Explanation of Solution
Given Information:
The small boat travel north at the speed
A short time later the boat travels east at the speed
Calculation:
Consider case (1) while the boat travel north,
Write the speed of ship
Write the relative velocity
Substitute
Write the velocity vector
Calculate velocity vector
Substitute
Separate the i and j component in the equation (1).
Consider case (2) while the boat travel east,
Write the speed of ship
Write the relative velocity
Substitute
Write the velocity vector
Calculate velocity vector
Substitute
Separate the i and j component in the equation (1).
Equate equation (2) and (5).
Equate equation (3) and (6).
Solve the equation (7) and (8) for
The value
Calculate the x component velocity
Substitute
Calculate the y component velocity
Substitute
Write velocity
Substitute
Calculate the angle made by the resultant of
Substitute
Therefore, the speed
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Chapter 11 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
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