A coil of spring stiffness 4 N/mm supports vertically a mass of 20 kg at the free end. The motion is resisted by the oil dashpot. It is found that the amplitude at the beginning of the fourth cycle is 0.8 times the amplitude of the previous vibration. Determine the damping force per unit velocity. Also find the ratio of the frequency of damped'and undamped vibrations.

A coil of spring stiffness 4 N/mm supports vertically a mass of 20 kg at the free end. The motion is resisted by the oil dashpot. It is found that the amplitude at the beginning of the fourth cycle is 0.8 times the amplitude of the previous vibration. Determine the damping force per unit velocity. Also find the ratio of the frequency of damped'and undamped vibrations.

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

machine mounted on elastic supports, is free to vibrate vertically. The machine has a mass of 40 kg and rotor out-of-balance effects are equivalent to 2 kg at 150 mm radius. Resonance occurs when the machine is run at 621 rpm. the amplitude of vibration at this speed being 45 mm. Determine the amplitude when running at 500 rpm and find the angular position of the out-of-balance mass when the machine is at its highest position during vibration.
Q2/ The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the springs can be combined to give an equivalent spring of stiffness 5.4 N/mm. If the vibrating system has a dishpot attached which exerts a force of 40 N when the mass has a velocity of 1 m/s, find (1) critical damping coefficient, (2) damping factor, (3) logarithmic decrement, and (4) ratio of two consecutive amplitudes.
A machine mounted on a single coil spring has a period of free vibration of T. If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will be
The car has a mass of 1290 kg and a body frequency of 1.8 Hz. Using a quarter-car model, determine the damping factor for a single shock absorber so that the relative damping factor for the suspension is 0.65? Give the answer in kg / s rounded to the nearest whole number.
Hi, please answer this question. Thank you very much
A weight attached to a spring of stiffness 3.0 lb/in has a viscous damping device. When the weight is displaced and released, the period of vibration is found to be 1.80 seconds and the ratio of consecutive amplitudes is 4.2 to 1.0. Determine the amplitude and phase angle when a force F-2cos(3t) acts on the system.
Hi, Please answer this problem, Thank you very much
The maximum permissible recoil distance of a gun is specified as 0.5 m. If the initial recoil velocity is to be between 8 m/s and 10 m/s, find the mass of the gun and the spring stiffness of the recoil mechanism. Assume that a critically damped dashpot is used in the recoil mechanism and the mass of the gun has to be at least 500 kg.
A vehicle is modelled as a combined mass-spring-damper system that oscillates in the vertical direction only. The driver of the vehicle travels along a road whose elevation varies sinusoidally as shown in Figure 2. The mass of the vehicle, which includes the driver, is 2500 kg. The stiffness and damping of the shocks are 40 kN/m and 3000 kg/s respectively. i. Determine the amplitude of vibration of the vehicle when it travels at a constant speed of 90 km/hr along the sinusoidal road. y/m 0.6 ►Velocity of vehicle m 0.4 ► Rigid massless tyre 0.2 distance (m) 20 60 80 -0.2 Figure 2
Be it a mass damping spring system where the response amplitude decreases to 25% of its valueinitial, after the five consecutive cycles as shown in the graph. Determine the system damping coefficient cconsidering k = 20N/m and m = 10kg
The spring-mass-damper system shown below has m1 = m2 = 3.4 kg and k = 97.7 N/m. In addition, a damping factor of 0.3 is given. The initial position and velocity of the system is x(t=0)=4.3 mm and x'(t=0)=0 m/s respectively. Frictionless pulley m2 Calculate the time required for the amplitude to reduce to 10% of the initial conditions.