Mechanical Engineering Principles

(Dana P.) #1
FORCES ACTING AT A POINT 39


  1. A space diagram of a force system is
    shown in Figure 3.31. Which of the vec-
    tor diagrams in Figure 3.32 does not rep-
    resent this force system?


10 N

20 N

30 N

Figure 3.31

20 N

20 N

20 N 20 N

30 N

30 N

30 N 30 N

10 N

Not to scale

10 N

10 N

10 N

=Resultant
17.32 N

=Resultant
17.32 N

=Resultant
17.32 N Resultant
= 17.32 N

(d)

(c)

(a) (b)

Figure 3.32


  1. With reference to Figure 3.33, which of
    the following statements is false?


FB= 20 N

FD= 8 N

FC= 5 N

FA= 10 N
150 °

60 °

30 °

Figure 3.33

(a) The horizontal component ofFAis
8.66 N
(b) The vertical component ofFB is
10 N

(c) The horizontal component of FC
is 0

(d) The vertical component ofFD is
4N


  1. The resultant of two forces of 3 N and
    4 N can never be equal to:
    (a) 2.5 N (b) 4.5 N (c) 6.5 N (d) 7.5 N

  2. The magnitude of the resultant of the
    vectors shown in Figure 3.34 is:
    (a) 5 N (b) 13 N (c) 1 N (d) 63 N


3 N

3 N 7 N

Figure 3.34
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