
The tip of a one-link robot is located at
FIGURE P6.1 Rotating one-link robot starting at

To plot:
The
Answer to Problem 1P
The graph for
The graph for
The amplitude of sine and cosine function is
Explanation of Solution
Given:
The tip of a one-link robot is initially located at
Time taken for the robot to move form
A one-link robot is length of
Concept used:
Write the expression for the linear frequency.
Here,
Write the expression for the angular frequency.
Here,
Write the expression for the time period.
Write the expression for
Here,
Write the expression for
Here,
Write the expression for the time shift.
Here,
Calculation:
The one-link robot completes one revolution in
Substitute
Substitute
Therefore, the period of the tip of a one-link robot is
Substitute
Therefore, the frequency is
Since the one-link robot initially start form
Substitute
Here,
Substitute
The plot for the
Substitute
Substitute
The plot for the
Figure 2
Substitute
Therefore, the time shift of the one-link robot is
The amplitude of sine and cosine function is
Conclusion:
Thus, the graph for
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Introductory Mathematics for Engineering Applications
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