4.15 A model of a vehicle suspension system is given in Figure P4.15. Write the equations of motion in matrix form. Calculate the natural frequencies for k₁ = 10³ N/m, k2 = 104 N/m m₁ = 2000 kg, m₂ 50 kg. - k₂ Tire stiffness m Car mass k₁ Car spring M₂ Tire mass in 24h m m₂ k₂ x₁(0) -x₂(0) Figure P4.15 A two-degree-of-freedom model of a vehicle suspension system

4.15 A model of a vehicle suspension system is given in Figure P4.15. Write the equations of motion in matrix form. Calculate the natural frequencies for k₁ = 10³ N/m, k2 = 104 N/m m₁ = 2000 kg, m₂ 50 kg. - k₂ Tire stiffness m Car mass k₁ Car spring M₂ Tire mass in 24h m m₂ k₂ x₁(0) -x₂(0) Figure P4.15 A two-degree-of-freedom model of a vehicle suspension system

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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Three springs with different spring constants are connected as shown below. You are going to use spring elements to simulate this system. Suppose that the spring constants of the first, second and third elements are k1=3,410 N/m, k2=3,160 N/m and k3=3,380 N/m, respectively. Two horizontal forces are applied to the system (as shown) at nodes. 2 and 3. Find the displacement of node 3 and write your answer in mm (millimetre). Hint: Write your answer with 5 decimal places. For example if you calculated the value 1.2345678, then rounding off to 5 decimal places yields 1.23457 and that is the value you need to type in the answer box. U₁=0 (1) F₂ = 2N U₂ = ? F3 = -1N (2) M U3 = ? (3) U4 = 0
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3. Suppose the model of a vehicle suspension is given below. Write the equation of motion in matrix form (not in State Space form). Calculate the natural frequencies for k₁ k2 10 N/m, m2 = 50kg, and m₁ = 2000kg. -= - - 103 N/m, 1 x1(c) m1 www m1 Car mass k₁ Car spring k1 k₂ Tire stiffness www x2(1) m2 Tire mass м2 k₂ ↑
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