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

Determinant, The subsequent topic that we require to take a look at is the ...

The subsequent topic that we require to take a look at is the determinant of a matrix. The determinant is in fact a function that gets a square matrix and converts this in a number

Fraction, Ask question #Minimum 100 words accepted

Ask question #Minimum 100 words accepted

Prove that 7cot - 3cosec = 3, If 7 cosec?-3cot? = 7, prove that 7cot? - 3co...

If 7 cosec?-3cot? = 7, prove that 7cot? - 3cosec? = 3. Ans:    7 Cosec?-2Cot?=7 P.T 7Cot? - 3 Cosec?=3 7 Cosec?-3Cot?=7 ⇒7Cosec?-7=3Cot? ⇒7(Cosec?-1)=3Cot? ⇒7(C

How did rousseau resolve the conflict, How did Rousseau resolve the conflic...

How did Rousseau resolve the conflict between the rights of the individual and the responsibilities of government (the state)? How did the ideas about universal education and socia

Principle of superposition, If y 1 (t) and y 2 (t) are two solutions to a...

If y 1 (t) and y 2 (t) are two solutions to a linear, homogeneous differential equation thus it is y (t ) = c 1 y 1 (t ) + c 2 y 2 (t )   ........................(3) Remem

Coefficient of determination, It refers to the ratio of the explained varia...

It refers to the ratio of the explained variation to the total variation and is utilized to measure the strength of the linear relationship. The stronger the linear relationship th

Gaussian elimination, Example1 :  Solve the subsequent system of equations....

Example1 :  Solve the subsequent system of equations. -2x 1 + x 2 - x 3 = 4 x 1 + 2x 2 + 3x 3   = 13 3x 1 + x 3 = -1 Solution The initial step is to write d

Comparison-types of word problems related to subtraction, Comparison - the...

Comparison - the difference between two groups or numbers, namely, how much one is greater than the other, how much more is in one group than in the other. (e.g., if Munna has

Find out solutions to second order differential equations, Find out some so...

Find out some solutions to y′′ - 9 y = 0 Solution  We can find some solutions here simply through inspection. We require functions whose second derivative is 9 times the

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