Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
Question
Chapter 4, Problem 1P
To determine

## To draw:The position vector, x and y components of tip of one link robot and the representation in rectangular and polar form.

The position vector is,

Its coordinates are, (x,y)=(6,10.39).

The vector representation in rectangular form is in, and in polar form is in.

### Explanation of Solution

Given Information:

Length of one link robot is 12 inches and its direction is 60°.

Calculation:

The length and direction are given,

P=12 inθ=60°

So,

Px=Pcosθ=12cos(60°)=6 inPy=Psinθ=12sin(60°)=10.39 in

The position vector,

The coordinates,

(x,y)=(Px,Py) =(6,10.39)

The vector in rectangular form,

In polar form,

Conclusion:

The position vector is,

Its coordinates are, (x,y)=(6,10.39).

The vector representation in rectangular form is in, and in polar form is in.

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