Section 7.1 Extra Practice
STUDENT BOOK PAGES 352–364
1. Find the resultant and equilibrant of each set of
forces
> acting on an object.
>
a. f 1 has a magnitude of 4 N acting due west, and f 2
has
> a magnitude of 7 N acting due east.
>
b. f 1 has a magnitude of 7 N acting due west, and f 2
has
> a magnitude of 4 N acting due north. >
c. f 1 has a magnitude of 5 N acting due west,> f 2 has a
magnitude of 6 N acting due south, and f 3 has a
magnitude of 8 N acting due east.
>
2. A force f 1 of magnitude 4 N acts on a particle P.
>
>
A second force f 2 of magnitude 2 N acts at 45° to f 1.
>
>
Determine the resultant and equilibrant of f 1 and f 2.
3. Three forces having magnitudes of 10 N, 8 N, and
5 N are in a state of equilibrium.
a. Draw a sketch of these three forces.
b. Determine the angle between the 10 N and 8 N
forces.
5. Resolve a force of 6 N into two forces perpendicular
to each other and such that one component force
makes an angle of 25° with the 6 N force.
6. Two students are trying to push a refrigerator across
the room. They are pushing with force and angle
shown in the diagram below. What direction will the
refrigerator move in, and what is the resultant force?
10 N
69.3˚
12 N
59.6˚
>
>
7. Two forces f 1 and f 2 act at right angles to each other.
>
The magnitude of f 1 is 14 N, and the magnitude of
the resultant is 15 N.
>
a. Determine the magnitude of f 2.
>
b. Determine the angle between f 2 and the resultant
vector.
4. Four forces of magnitude 3 N, 5 N, 11 N, and 12 N
are arranged as shown on the diagram. Determine the
resultant of these forces.
Copyright © 2009 by Nelson Education Ltd.
5N
3N
11 N
12 N
Section 7.1 Extra Practice
427