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UNIT 2: MOMENTS Worksheet 2 Level 1
12 m3 m
23 m
3 m
F1 = 3 NF3 = 22 N
F2 = 3 NF4 = 3 N
20 m4 m
20 m
4 m
F1 = 10 NF2 = 3 N
F3 = 5 NF4 = 4 N
Ob jectives:
1 Find (i) The moments due to each force and its corresponding
direction.
(ii) The resultant moments and its direction.
Assume the plank has negligible mass.
(a)
Answer:Moments due to F1Moments due to F2Moments due to
F3Moments due to F4Total clockwise moments
Total anticlockwise moments
esultant moment!irection o" rotation
(b)
Answer:Moments due to F1Moments due to F2Moments due to
F3Moments due to F4Total clockwise moments
Total anticlockwise moments
esultant moment
!irection o" rotation
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(c)
F2 = 7 N F4 = 4 N
20 m
4 m
20 m
4 m
F1 = 12 N F3 = 5N
#
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22 m2 m
22 m
1 m
A
F1 = 10 NF2 = 3 N F3 = 4 N
2 !etermine(i) The magnitude o" the "orce to be applied at point
A such that the s$stem will be in
e%uilibrium.(ii)The direction o" the "orce applied.
(a)
12 m 6 m2 m 3 m
F3 = 22 NF1 = 3 N F2 = 5 N
Answer:Moments at pi#ot due to F1
Moments at pi#ot due to F2
Moments at pi#ot due to F3
Total clockwise moments at pi#ot
Total anticlockwise moments at pi#ot
&um o" moment at pi#otMoments due to F at A
Magnitude o" F at A anddirection
(b)
Answer:Moments at pi#ot due to F1
Moments at pi#ot due to F2
Moments at pi#ot due to F3
Total clockwise moments at pi#ot
Total anticlockwise moments at pi#ot
&um o" moment at pi#otMoments due to F at A
Magnitude o" F at A anddirection
A
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20 m4 m
20 m
4 m
A
20 m5 m
20 m
A
'nit 2 Moments
c)
F2 =11 N F3 = 16 N
F1 = 12 N
Moments at pi#ot due to F1
Moments at pi#ot due to F2
Moments at pi#ot due to F3
Total clockwise moments at pi#ot
Total anticlockwise moments at pi#ot
&um o" moment at pi#otMoments due to F at A
Magnitude o" F at A anddirection
(d)
F2 =8 N F2 = 11 N
Answer
Moments at pi#ot due to F1
Moments at pi#ot due to F2
Total clockwise moments at pi#ot
Total anticlockwise moments at pi#ot
&um o" moment at pi#otMoments due to F at A
Magnitude o" F at A anddirection
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5m30o
3 !etermine the moments due to the "orce(s) acting on the
beam.
(a)
F1 = 11 N
Answer
pg. 3
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(c)
F2 = 15 N
pg. 4
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5m 5m45o
45oF1 = 15 N
(d)
F2 = 15 N
5m
60o
F3 = 17 N
5m45
o
45oF1 = 15 N
pg. 5
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5m30o
40o 5m 5m 45o
4 !etermine (i) the "orce F needed "or the s$stem to obtain
e%uilibrium.(ii) the direction o" the "orce F.
(a)
F1 = 11 N
F
(b)
F1 =
75 N
F2 = 15 N
F
pg. 6
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