Mechanical Engineering Principles

68 MECHANICAL ENGINEERING PRINCIPLES

10 N

1 m

3 m

5 m

B

RA RB

A

20 N

Figure 5.34

4. The force acting at B (i.e. RB)in
   Figure 5.34 is:

(a) 16 N (b) 20 N

(c) 5 N (d) 14 N

5. The force acting at A (i.e. RA)in
   Figure 5.34 is:

(a) 16 N (b) 10 N

(c) 15 N (d) 14 N

6. Which of the following statements is
   false for the beam shown in Figure 5.35
   if the beam is in equilibrium?

6 N

3.0 m 1.0 m3.0 m

R

3 N F

Figure 5.35

(a) The anticlockwise moment is 27 N

(b) The forceF is 9 N

(c) The reaction at the support R is

18 N

(d) The beam cannot be in equilibrium

for the given conditions

7. With reference to Figure 5.36, the reac-
   tionRAis:

(a) 10 N (b) 30 N

(c) 20 N (d) 40 N

10 N 10 N

0.5 m 0.5 m 0.5 m 0.5 m

RA RB

20 N

Figure 5.36

8. With reference to Figure 5.36, when
   moments are taken aboutRA,thesum
   of the anticlockwise moments is:
   (a) 25 N m (b) 20 N m
   (c) 35 N m (d) 30 N m


9. With reference to Figure 5.36, when
   moments are taken about the right-
   hand end, the sum of the clockwise
   moments is:
   (a) 10 N m (b) 20 N m
   (c) 30 N m (d) 40 N m


10. With reference to Figure 5.36, which of
    the following statements is false?

(a) ( 5 +RB)=25 N m

(b) RA=RB

(c) ( 10 × 0. 5 )=( 10 × 1 )+( 10 × 1. 5 )

+RA

(d) RA+RB=40 N

11. A beam simply supported at its ends
    is subjected to two intermediate couples
    of 4 kN m clockwise and 4 kN m anti-
    clockwise. The values of the end reac-
    tions are:
    (a) 4 kN (b) 8 kN
    (c) zero (d) unknown