Answer:
Given that,
Time, t = 0.01 seconds
Spring stiffness, k = 500000 N/m
Mass, m = 15 kg
Damping ratio,
= 0.3



4. A chassis dynamometer is used to study the unsprung mass of an automobile as illustrated...
The suspension system of a 1840 kg automobile "sags" 13 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 60% each cycle. Assume each wheel supports 460 kg. (Hint: Let ω' = ω = k/m .) (a) Find the value of the spring constant k for the spring and shock absorber system of one wheel. (b) Find the damping constant b for the spring and shock absorber system of one wheel.
The suspension system of a 2100 kg automobile "sags" 11 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 39% each cycle. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming each wheel supports 525 kg.
The suspension system of a 1900 kg automobile "sags" 13 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 52% each cycle. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming each wheel supports 475 kg.
(40pts) The suspension system for one wheel of a pickup truck is illustrated in the following figure. The mass of the vehicle distributed on this wheel is mi and the mass of the wheel is m2. The suspension spring has a spring constant kı and the tire has a spring constant of k2. The damping constant of the shock absorber is b. Assume the truck's vertical displacement yi(t) is the output and the road surface profile x(t) is the input....
8.9 An automobile with four wheels is about to pass over a speed bump as shown in the insert in Eigure 8.35a. The velocity of the vehicle at that time is 10 km/h. The vehicle is supported by a suspension system that consists of one coilover per wheel (a coilover is a combination of a shock absorber, or a damper, enclosed by a coil spring). The analytical model of the suspension system is illustrated in Figure 8.35b. The mass of...
Please help.
(3) An automobile running on 4 wheels is about to pass over a speed bump that has a cross section that fits to a sine function of y(x)-5sinßx with B being a constant, and with a maximum width w 8 cm. as illustrated in Figure 1(a). The velocity of the automobile is 20 km/hr at the time of passing over the bump. The vehicle is supported by a suspension system that is consists of one coilover for each...
QUESTION 4 (140 marks) Determine the damped frequency of the spring-mass system schematically illustrated below if the spring stiffness is 3000 N/m and the damping coefficient c is set at 320 Ns/m. If a periodic 260 N force is applied to the mass at a frequency of 2 Hz, determine the amplitude of the forced vibration. Spring Viscous damper 35 kg Figure 4
HW #8 QUARTER CAR MODEL Sprunp Mass (14 of vehicle mass) m= 500kg ķ= 25000 ms Equesiti 0000 tor b: 3500 N m/sec Actua U HAU QUARTER OF m= 50 kg A CAR Unsprung Mass Egil position (mass of the wheel k = 200000 and associated compe hersts) U(U): Actuator force acting on Sprung and unsprung stiffness of tire X(t): Road heipht, m y (+): Sprung mass displacement, in (t): Unsprung -- --- Equilibrium position mass displacement, m. Determine the...
vibration
uestion: Wheel of a car with mass of 25 kg and 30 cm radius can be modeled by a single DOF system as shown. Assuming perfectkly smooth road, the wheel excited by unbalance (me 0.05 kg-m) only. Derive the equation for force tranmitted to the pavement (ground) Determine the complete (magnitude and phase) steady state pavement load:() at the speed of 80 km/h You are to design an undamped mechanical vibration absorber that can be attached to the centre...
Consider the mass M subject to periodic forcing P(t) A sin wt where A 0.3 and e is a small parameter. The mass is attached to a spring with stiffness k and dashpot with damping coefficientc to model the stiffness and damping of the structure. Resting atop the idealized structure is vibration damper consisting of a mass ma, spring ka, and dashpot ca, as shown in Figure 1. The goal is to make the appropriate choice of the parameters ma,...