(1) A rigid bar (OA)with mass m and length L is simply supported at one end and free at the other end .A lumped mass M fixed at the end of A is subjected to a vertical harmonic excitation f(t). Two springs(k) are connected at the length a and b of the bar. Please calculate the natural frequency w and response vibration of the system. (Figure 1) Note: m=10kg, L=1 m, a=0.25m, b=0.5m, k=5000N/m, M=50kg, f(t)=Fcos2t (F=500N, 22=1000rpm). The vibration is very small. a b k L k m M f(t) A X
(1) A rigid bar (OA)with mass m and length L is simply supported at one end and free at the other end .A lumped mass M fixed at the end of A is subjected to a vertical harmonic excitation f(t). Two springs(k) are connected at the length a and b of the bar. Please calculate the natural frequency w and response vibration of the system. (Figure 1) Note: m=10kg, L=1 m, a=0.25m, b=0.5m, k=5000N/m, M=50kg, f(t)=Fcos2t (F=500N, 22=1000rpm). The vibration is very small. a b k L k m M f(t) A X
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![(1) A rigid bar (OA)with mass m and length L is simply supported at
one end and free at the other end .A lumped mass M fixed at the
end of A is subjected to a vertical harmonic excitation f(t). Two
springs(k) are connected at the length a and b of the bar. Please
calculate the natural frequency w and response vibration of the
system. (Figure 1)
Note: m=10kg, L=1 m, a=0.25m, b=0.5m, k=5000N/m, M=50kg,
f(t)=FcosQt (F=500N, 2=1000rpm). The vibration is very small.
a
b
k
L
MAA
m
M
Figure 1: Single Degree Vibration System
f(t)
A
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05ed4213-5832-4388-9cf2-f1d506899ead%2F3b34d09a-452f-4616-a45e-ea2508dd05d6%2Fnyy1yyt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(1) A rigid bar (OA)with mass m and length L is simply supported at
one end and free at the other end .A lumped mass M fixed at the
end of A is subjected to a vertical harmonic excitation f(t). Two
springs(k) are connected at the length a and b of the bar. Please
calculate the natural frequency w and response vibration of the
system. (Figure 1)
Note: m=10kg, L=1 m, a=0.25m, b=0.5m, k=5000N/m, M=50kg,
f(t)=FcosQt (F=500N, 2=1000rpm). The vibration is very small.
a
b
k
L
MAA
m
M
Figure 1: Single Degree Vibration System
f(t)
A
X
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