(a)
To find: The direction and magnitude of the resultant of the forces when
(a)
Answer to Problem 107E
Magnitude
Direction
Explanation of Solution
Given: Forces with magnitudes of 150 newtons and 220 newtons act on a book, as shown in the figure.
First make the vertical and horizontal component of both forces.
For force 1:
For force 2:
The resultant of both forces,
For
Direction of F,
Hence, the magnitude of resultant forces is 357.85 N and direction
(b)
To find: The magnitude and direction in form of
(b)
Answer to Problem 107E
Explanation of Solution
Given: Forces with magnitudes of 150 newtons and 220 newtons act on a book, as shown in the figure.
First make the vertical and horizontal component of both forces.
For force 1:
For force 2:
The resultant of both forces,
Magnitude of forces,
Let direction of resultant force is
(c)
To complete: The table for different value of
(c)
Answer to Problem 107E
Explanation of Solution
Given: Forces with magnitudes of 150 newtons and 220 newtons act on a book, as shown in the figure.
The magnitude of resultant forces,
The direction of the resultant forces,
Using graphing utility to complete the table.
(d)
To graph: The function of magnitude and direction of resultant forces.
(d)
Answer to Problem 107E
Explanation of Solution
Given: Forces with magnitudes of 150 newtons and 220 newtons act on a book, as shown in the figure.
Using graphing utility to graph the function.
The magnitude of resultant forces,
The direction of the resultant forces,
Where , y -axis represents magnitude and direction and x -axis represents angle
(e)
To graph: The function of magnitude and direction of resultant forces.
(e)
Explanation of Solution
Given: Forces with magnitudes of 150 newtons and 220 newtons act on a book, as shown in the figure.
Using graphing utility to graph the function.
The magnitude of resultant forces,
The direction of the resultant forces,
Where , y -axis represents magnitude and direction and x -axis represents angle
The graph of magnitude of resultant of two forces is decreases as
The graph of direction of resultant of two forces is increase as
Chapter 6 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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