Concept explainers
A position
- Draw the position vector to scale on cartesian axes.
- Write an expression for the position vector using unit vector notation.
- Write an expression for the position vector using complex number notation, in both polar and cartesian forms.
a.
To draw: The position vector to scale on Cartesian axes.
Answer to Problem 4.1P
The position vector to scale on Cartesian axesisshown in Figure-1.
Explanation of Solution
Given information:The tangent is defined as the weight in pound divided by age and the length is equal to the height.
Calculation:
The magnitude of the vector is,
Here,
Substitute
The graph is shown below.
Figure-1
b.
To write: The expression for the position vector.
Answer to Problem 4.1P
The expression for the position vector is
Explanation of Solution
Given information:The tangent is defined as the weight in pound divided by age and the length is equal to the height.
Calculation:
The expression for the position vector is,
Substitute
c.
To write: The expression for the position vector in polar and Cartesian coordinates.
Answer to Problem 4.1P
The expression for the position vector in polar and Cartesian coordinates is
Explanation of Solution
Given information:The tangent is defined as the weight in pound divided by age and the length is equal to the height.
Calculation:
The expression for the position vector is,
Substitute
The expression for the position vector is,
Substitute
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Chapter 4 Solutions
DESIGN OF MACHINERY
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