Natural Frequency of Cockpit of a Firetruck The cockpit of a firetruck is located at the end of a telescoping boom, as shown in Fig. 2.12(a). The cockpit, along with the fireman, weighs 2000 N. Find the cockpit's natural frequency of vibration in the vertical direction. Data: Young's modulus of the material: E 2.1 x 10" N/m?: lengths: 4 =4 = 15 = 3 m; cross- sectional areas: A, 20 cm, Az = 10 cm, A3 = 5 cm?. Bucket Telescoping arm 4. A (a) P- (b)

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Natural Frequency of Cockpit of a Firetruck
The cockpit of a firetruck is located at the end of a telescoping boom, as shown in Fig. 2.12(a). The
cockpit, along with the fireman, weighs 2000 N. Find the cockpit's natural frequency of vibration in
the vertical direction.
Data: Young's modulus of the material: E = 2.1 x 10" N/m; lengths: 4 = l = = 3 m; cross-
sectional areas: A, 20 cm, A2 10 cm, A3 = 5 cm.
Bucket
, A3
Telescoping arm
2, Az
h. A1
(a)
'oi
(b)
FIGURE 2.12 Telescoping boom of a fire truck.
Transcribed Image Text:Natural Frequency of Cockpit of a Firetruck The cockpit of a firetruck is located at the end of a telescoping boom, as shown in Fig. 2.12(a). The cockpit, along with the fireman, weighs 2000 N. Find the cockpit's natural frequency of vibration in the vertical direction. Data: Young's modulus of the material: E = 2.1 x 10" N/m; lengths: 4 = l = = 3 m; cross- sectional areas: A, 20 cm, A2 10 cm, A3 = 5 cm. Bucket , A3 Telescoping arm 2, Az h. A1 (a) 'oi (b) FIGURE 2.12 Telescoping boom of a fire truck.
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