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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

### Want to see more full solutions like this?

# Chapter 6 Solutions

Introductory Mathematics for Engineering Applications

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