Tutorial 1 - Engineering Mechanic
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SKPP 1113 – ENGINEERING MECHANICS TUTORIAL 1 ________________________________________________________________________ 1. Two forces acting on the bracket as shown in Figure S.1. If P = 5kN, Q = 3.5kN and θ =65 o , determine the resultant of the two forces. Figure S.1 S.2 2. Three forces acting on a bracket as shown in Figure S.2. (a) Determine the magnitude of force P, if the resultant of the three forces is minimum. (b) Determine the range of force P, so that the magnitude of resultant of the three forces is not exceeding 1500 N. 3. The bracket shown in Figure S.3 is subjected to three forces. Determine the two possible magnitudes of P if it is required that the magnitude of the resultant of the three forces equals 1000 N. Figure S.3 Figure S.4 4. Three forces acting on the bracket as shown in Figure S.4. Determine the magnitude and direction θ, of force P if the resultant of the three forces is along v axis directed downward with magnitude 2000 N. 5. A bracket in Figure S.5 is acted by three forces. Determine the magnitude of force P, if the resultant of the three forces is vertical. Calculate the magnitude and direction of the resultant. P 500 N 1500 N 45° P Q θ 30° y u P 500 N θ 60° v 2000 N 3 3 4 4 P 1500 N 300 N P = 707.1 N 207.1 ! P ! 1207.1 R = 5.85 kN ! = 28.4 ! 800N ! P ! 1360N P = 567.3N ! =28.19 !
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Tutorial 1 - Engineering Mechanic - UTM
Transcript of Tutorial 1 - Engineering Mechanic
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SKPP 1113 ENGINEERING MECHANICS TUTORIAL 1
________________________________________________________________________ 1. Two forces acting on the bracket as shown in Figure S.1. If P = 5kN, Q = 3.5kN and
=65o, determine the resultant of the two forces. Figure S.1 Figure S.2 2. Three forces acting on a bracket as shown in Figure S.2.
(a) Determine the magnitude of force P, if the resultant of the three forces is minimum. (b) Determine the range of force P, so that the magnitude of resultant of the three
forces is not exceeding 1500 N.
3. The bracket shown in Figure S.3 is subjected to three forces. Determine the two possible magnitudes of P if it is required that the magnitude of the resultant of the three forces equals 1000 N.
Figure S.3 Figure S.4 4. Three forces acting on the bracket as shown in Figure S.4. Determine the magnitude
and direction , of force P if the resultant of the three forces is along v axis directed downward with magnitude 2000 N.
5. A bracket in Figure S.5 is acted by three forces. Determine the magnitude of force P,
if the resultant of the three forces is vertical. Calculate the magnitude and direction of the resultant.
P
500 N
1500 N
45
P
Q
30
y
u
P
500 N 60
v
2000 N
3
3 4
4
P
1500 N
300 N
P = 707.1 N207.1! P !1207.1
R = 5.85 kN! = 28.4!
800N ! P ! 1360N P = 567.3N!=28.19!
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Figure S.5 Figure S.6 6. A bracket in Figure S.6 is acted by three forces. Determine the magnitude and
direction of force P, if the resultant of the three forces is along x axis with magnitude 600 N.
7. Two forces act on the bracket as shown in Figure S.7.
(a) Determine the angle , if the resultant of the two forces has a magnitude of 700 N.
(b) Determine the angle between the resultant and the horizontal u axis. (c) Resolve the resultant force into two components; one component along u
axis and another one along v axis. Determine the magnitude and direction of the components.
Figure S.7 8. Three forces act on the bracket as shown in Figure S.8. The resultant of the three
forces has a magnitude of 1300 N. Determine the angle so that the magnitude of force F is minimum, and calculate the magnitude of force F.
Figure S.8
3
3 4
4
P
1500 N
300 N
P
x
30
100 N
350 N
300 N
500 N 30
u
v
400 N
300 N
F
P = 1080NR = 960N !
P = 434.48N!=22.98!
a) 60!b) ! = 21.79!c) Fv = 519.69N, Fu = 1100.05N
Fmin = 800N!= 36.87!
