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 2100 kg automobile "sags" 11 cm when the chassis is placed...
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...
4. A chassis dynamometer is used to study the unsprung mass of an automobile as illustrated in the following figure. Compute the maximum magnitude of the center of the wheel due to an impulse of 5000 N applied over 0.01 seconds in the x direction. Assume the wheel mass is m = 15 kg, the spring stiffness is k= 500,000 N/m, the shock absorber provides a damping ratio of 1 = 0.3, and the rotational inertia is ) = 2.323...
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...
(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....
The motion of a car wheel with it suspension (Figure a) can be modeled as shown in Figure b. Determine the amplitude of the wheel X The wheel of mass mw-20 kg, the spring stiffness k-109 Nm and the shock absorber constant C-380 Nism. Assuming that the wheel is moving with a speed of 70 km hr and the road profile is sinusoidal with an amplitude of Y-0.05 m and a wave length L-1.73 m
In practice, the suspension system of a car consists of a spring under compression combined with a shock absorber which damps the vertical oscillations of the car. Draw sketch graphs, one in each case, to illustrate how the vertical height of the car above the road will vary with time after the car has just passed over a hump if the shock absorber is: (i) not functioning. (ii) operating normally. When the driver of mass 80 kg, steps into the...
A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped when moving in the vertical direction by a damping force Famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. If y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period?...
Please answer 3-34 and 3-35. Please provide all steps so I can follow along. PROBLEMS 89 3-30. A system composed of a mass of S kg and an elastic member having a modulus of 45 N/m is less than critically damped. When the mass is givén an initial displacement and released from rest, the overshoot (the displacement attained past the equilibrium position) is 25% Determine the dam ping factor and the damping constant. 3-31. A mass-spring system is critically damped....
1. Suppose that a car weighing 4000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6500 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 26000 lbs/foot.1. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g= 32 ft/sec22. After 10 seconds the car body is 1 foot above its equilibrium position and at the high point in its cycle....
6. An underdamped shock absorber for a moon-buggy is to be designed. The system can be considered as simple SDOF system weighing 2500 N as shown in Figure 2 (a) and its damped free vibration response is shown in Figure 2 (b).lf the damped period of vibration is to be 0.8 sec and the amplitude x, is to be reduced to one-third in one half cycle. A/2 a. Draw the free-body and kinetic diagrams for the system. b. Determine the...