Calculate frequencies for two modes of vibration, Mathematics

Assignment Help:

A partially loaded passenger car has a mass of 1600 kg.  It has fully independent suspension in which each front spring has a stiffness of 19.0 kNm-1 and each rear spring has a stiffness of 17.0 kNm-1.

The car has a wheelbase of 2.9 m and the centre of gravity is 1.6 m in front of the rear wheels.  The radius of gyration of the sprung mass about a horizontal transverse axis through the centre of gravity is 0.95 m.

Model the car as a linear, undamped, 2 degree of freedom system, ignoring tyre stiffness, and calculate:

(a)  The natural frequencies for the two modes of vibration.                      

(b) The positions of the pitch centres for each of these modes relative to the centre of gravity.                                                                                             

 


Related Discussions:- Calculate frequencies for two modes of vibration

Mathematical model representing the total parking cost, John has a choice o...

John has a choice of using one of two parking garages when he visits downtown: Option1:  $8 an hour for the first two hours, then $2 and hour for each hour more than 2; or Op

Prove that seca+tana=2x, If secA= x+1/4x, prove that secA+tanA=2x or  1/2x....

If secA= x+1/4x, prove that secA+tanA=2x or  1/2x. Ans:    Sec? = x +  1/4x ⇒ Sec 2 ? =( x + 1/4x) 2                             (Sec 2 ?= 1 + Tan 2 ?) Tan 2 ? = ( x +

College Algebra, I am looking for a tutor in College Algebra

I am looking for a tutor in College Algebra

Geometry help, A painter leans a 10-foot ladder against the house she is to...

A painter leans a 10-foot ladder against the house she is to paint. The foot of the ladder is 3 feet from the house. How far above the ground does the ladder touch the house? Appro

Critical points, Critical Point Definition : We say that x = c is a critic...

Critical Point Definition : We say that x = c is a critical point of function f(x) if f (c) exists & if either of the given are true. f ′ (c ) = 0        OR             f ′ (c

Age problem, three years ago,Rica was thrice as old as dandy.Three years he...

three years ago,Rica was thrice as old as dandy.Three years hence,she will be twice as old.Find their present.

Ratio, the ratio of dogs to cats is 2 to 9.if there are 10 dogs how many ca...

the ratio of dogs to cats is 2 to 9.if there are 10 dogs how many cats are there?

Product rule (f g)' = f ' g + f g', Product Rule: (f g)′ = f ′ g + f g′ ...

Product Rule: (f g)′ = f ′ g + f g′ As with above the Power Rule, so the Product Rule can be proved either through using the definition of the derivative or this can be proved

Congruence of triangle, make an assignment based on congruence of triangle

make an assignment based on congruence of triangle

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd