6. Find the equivalent stiffness of the springs in Figure 3 in the x-direction. 4 x 10° Nim S 10' Nim 30 3 10 N/m Figure 3

Elements Of Electromagnetics
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6. Find the equivalent stiffness of the springs in Figure 3 in the x-direction.
* 10 N/m
NS 10' Nim
30/
N3x 10° N/m
Figure 3
7. A ceiling fan assembly of five blades is driven by a motor. The assembly is attached to the
ceiling by a thin shaft fixed at the ceiling. What is the natural frequency of torsional
oscillations of the fan of Figure 4
Shaft:
G- 80 - 10" Nim
L-0.25 m
r-6 mm
Motor: T- 10 kg m?
Each blade:
T-11 kg m
=0.4 kg
F=0.4 m
Figure 4
8. A diving board is modeled as a simply supported beam with an overhang. What is the
natural frequency of a 140-lb diver at the end of the diving board of Figure 5
+1 in.
4 ft O
6 ft
E = 100 x 10° N/m?
Figure 5
2
9. Derive the differential cquation governing the motion of the onc degree-of-freedom system
by applying the appropriate form(s) of Newton's laws to the appropriate free-body
diagrams. Use the generalized coordinate shown in Figure 6.
Sphere of
mass m,
radius r,
no slip
Figure 6
Transcribed Image Text:6. Find the equivalent stiffness of the springs in Figure 3 in the x-direction. * 10 N/m NS 10' Nim 30/ N3x 10° N/m Figure 3 7. A ceiling fan assembly of five blades is driven by a motor. The assembly is attached to the ceiling by a thin shaft fixed at the ceiling. What is the natural frequency of torsional oscillations of the fan of Figure 4 Shaft: G- 80 - 10" Nim L-0.25 m r-6 mm Motor: T- 10 kg m? Each blade: T-11 kg m =0.4 kg F=0.4 m Figure 4 8. A diving board is modeled as a simply supported beam with an overhang. What is the natural frequency of a 140-lb diver at the end of the diving board of Figure 5 +1 in. 4 ft O 6 ft E = 100 x 10° N/m? Figure 5 2 9. Derive the differential cquation governing the motion of the onc degree-of-freedom system by applying the appropriate form(s) of Newton's laws to the appropriate free-body diagrams. Use the generalized coordinate shown in Figure 6. Sphere of mass m, radius r, no slip Figure 6
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