The car's corner mass is m₁ = 220 kg and the unsprung mass is m₂ = 16 kg. The suspension spring stiffness is k = 13000 N/m and the tire stiffness is k, = 150000 N/m. a) Find the ride rate, RR, in N/m. b) Find the bounce natural frequency, f, in Hz for this corner of the car. c) Find the value of the suspension damping coefficient, c, that corresponds to a suspension damping ratio of 5 = 0.5. d) Find the damped natural frequency, fa, in Hz if the damping ratio is 5 = 0.5.

The car's corner mass is m₁ = 220 kg and the unsprung mass is m₂ = 16 kg. The suspension spring stiffness is k = 13000 N/m and the tire stiffness is k, = 150000 N/m. a) Find the ride rate, RR, in N/m. b) Find the bounce natural frequency, f, in Hz for this corner of the car. c) Find the value of the suspension damping coefficient, c, that corresponds to a suspension damping ratio of 5 = 0.5. d) Find the damped natural frequency, fa, in Hz if the damping ratio is 5 = 0.5.

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

See similar textbooks

Similar questions

An object with a mass of 0.5 kg is released from a distance of 2 m, the spring coefficient k = 100 N / m and the object is in the same direction after impact. If it is known to rebound on the road throughout; a) What is the speed of the object at the moment before it hits the spring? b) Find the maximum compression and maximum spring force in the spring. c) Find the rebound height if e = 0.5. (Assume that the spring behaves linearly during deformation, when the object leaves the spring, the spring regains its initial length (L) and energy is conserved during compression.)
Q1 The vibration of a car is modelled as a damped single degree-of-freedom system with the following parameters: m = 20 kg, K = 100 N/m, xo = 0.003 m, Vo = 5 m/s, = 0.01. Calculate the following a) Damped natural frequency b) Maximum vibration amplitude of the system c) Vibration phase of the system
Let e be the counterclockwise angular displacement of the disk in the following system. a) Derive the governing differential equation of the system by using the Newton 2d law. b) Find the natural frequency of the system c) For what value of c is the damping ratio of the system equal to 1.15? fy-10 cm f30 cm m2 m1 Jputey10 kg-m m;-10 kg my-25 kg k-1x10' N/m
An electric motor of mass 25 kg is supported on a three-spring system. Thesprings are arranged in parallel, with the three stiffnesses being 10 kN/m,5 kN/m and 25 kN/m respectively. Viscous damping is present within the systemand has a magnitude of 0.4 kNs/m.i) Produce a sketch of the system and state its equation of motion.ii) Determine the damping ratio and comment on its value.iii) Determine the amplitude of vibration of the motor 5 cycles afterit is released from an initial displacement of 15 mm.
Problem Solving: )An object falls from rest in a medium offering a resistonce. The velocity of the object hefore the ohject reaches the ground is given by the differential egua- tion dv/t + V% = 32, t/sec. uhat is the veloaty of the okject one second after it falls ?
5) A rail road bumper is designed as a spring in parallel with a viscous damper. What is the bumper's damping coefficient such that the system has a damping ratio of 1.25, when the bumper is engaged by a rail car of 20000 kg mass. The stiffness of the spring is 2E5 N/m. If the rail car engages the bumper, while traveling at a speed of 20m/s, what is the maximum deflection of the bumper? foooo E
A 110 g object on a spring oscillates left to right on a frictionless surface Given a frequency of 2.00 Hz and an amplitude of 0.10 m.a) Determine the spring constant. b) write the equation which describes its position as a function of time, If the object starts at x = 0.15 m at t = 0 and the equilibrium point is at x = 0
A mass spring system has a mass of 3/4 kg, a damping constant of 3/2 kg/sec and a spring constant of 15/2 kg/sec. There is no external force. The system is started in motion at y = 4 meters with an initial velocity of 3 m/s in the downward direction. a) Find the differential equation and the initial conditions that describe the motion of this system. b) Solve the resulting initial value problem. c) Is the spring system overdamped, underdamped or critically damped?
A spring-mass-damper system consists of a mass m=120 slug, a spring constant k = 40 lb/in, and a damping coefficient c = 5lb*sec/in. Find the following: a.) Natural frequency b.) The damping ratio c.) Damped frequency. d.) Assume the initial conditions to be Uo = 0.2in, Vo = 0.5 in/sec, find the maximum deflection and plot the response, u(t).
The equation of motion of a simplified model mechanical system is given below. of a m, o X₁ ki+k₂ k₂ O +1 NA 1/2 FU 10 ma -k₂ k₂ | k₂ = 10,000 N m₁ = 40 kg / m₂ = 130 kg, k₁ = 20,000~ m 0 a) Natural Freequency b) Find the mass normalized mode shapes of the system. c) Drave the mass normalized mode shapes.
1. Find: Vs, wa/c, and wa/A Use relative motion analysis OR Instantaneous center of rotation Given: 0= 58° @=39° BC=3m AB=9m V₁ = 12 m/s your choice mak 437 B
A coil spring suspension is designed as a suspension for a mega truck that will be released in the future with a viscous damper. a.) What is the bumper's damping coefficient such that the system has a damping ratio of 1.25 when the bumper is engaged by a 20 tons railroad car and has a stiffness of 2 x 10^5 N/m? b.) Another load for the truck has been installed that has a mass of only 4500 kg. What are the natural frequency and a damping ratio of a system with the coil spring suspension when the load is being applied?