(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)=Fcost (F=500N, 22=1000rpm). The vibration is very small. a b k MA k m M Figure 1: Single Degree Vibration System 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)=Fcost (F=500N, 22=1000rpm). The vibration is very small. a b k MA k m M Figure 1: Single Degree Vibration System f(t) A X

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

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)=Fcos2t (F=500N, Q=1000rpm). The vibration is very small.
a
b
k
L
MA
m
M
Figure 1: Single Degree Vibration System
f(t)
A
X

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