One of the wheels and leaf springs of an automobile travelling over a rough road is shown. If the automobile has a mass of m₁=1000 kg and the leaf springs have a total stiffness of k₁-400 kN/m. The wheel and axles have a mass of m₂=300 kg and the tires have a stiffness of k₂-500 kN/m. The road surface varies sinusoidally with an amplitude of Y=0.1m and a period of 1=6m, find the critical velocities of the automobile (Hint: find the two natural frequencies for the two degree of freedom system and convert them to km/h).

One of the wheels and leaf springs of an automobile travelling over a rough road is shown. If the automobile has a mass of m₁=1000 kg and the leaf springs have a total stiffness of k₁-400 kN/m. The wheel and axles have a mass of m₂=300 kg and the tires have a stiffness of k₂-500 kN/m. The road surface varies sinusoidally with an amplitude of Y=0.1m and a period of 1=6m, find the critical velocities of the automobile (Hint: find the two natural frequencies for the two degree of freedom system and convert them to km/h).

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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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

O
O
O
O
m₁ (Automobile)
-k₁ (Leaf springs)
-m₂ (Wheels and axles)
k₂ (Tires)
v1=25.87 km/h and v2=110.63
km/h
v1=49.69 km/h and v2=194.2
km/h
v1-39.53 km/h and v2=124.52
km/h
v1=28.63 km/h and v2=116.85
km/h

One of the wheels and leaf springs of an
automobile travelling over a rough road
is shown. If the automobile has a mass
of m₁=1000 kg and the leaf springs have
a total stiffness of k₁=400 kN/m. The
wheel and axles have a mass of m₂=300
kg and the tires have a stiffness of
k₂-500 kN/m. The road surface varies
sinusoidally with an amplitude of
Y=0.1m and a period of l=6m, find the
critical velocities of the automobile
(Hint: find the two natural frequencies
for the two degree of freedom system
and convert them to km/h).
my (Automobile)
-k₁ (Leaf springs)
-m₂ (Wheels and axles)
k₂ (Tires)

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