A washing machine weighing 199.5 kg has a rotating unbalance of 0.5 kg. The washing machine is mounted on isolators with a damping ratio of 0.35. A harmonic excitation force of f(t)= 75 sin 20t is applied to the entire system. a. Determine the steady-state amplitude of vibration of the washing machine caused by the rotating unbalance. b. Determine the force transmitted to the floor.

A washing machine weighing 199.5 kg has a rotating unbalance of 0.5 kg. The washing machine is mounted on isolators with a damping ratio of 0.35. A harmonic excitation force of f(t)= 75 sin 20t is applied to the entire system. a. Determine the steady-state amplitude of vibration of the washing machine caused by the rotating unbalance. b. Determine the force transmitted to the floor.

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

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.
What is Logarithmic Decrement in damped vibration? A heavy machine, weighing 3000 N, is supported on a resilient foundation. The static deflection of the foundation due to the weight of the machine is found to be 7.5 cm. It is observed that the machine vibrates with an amplitude of 1 cm when the base of the foundation is subjected to harmonic oscillation at the undamped natural frequency of the system with an amplitude of 0.25 cm. Find a. the damping constant of the foundation, b. the dynamic force amplitude on the base, and c. the amplitude of the displacement of the machine relative to the base.
. A vehicle of mass m = 900 kg travels over a long terrain that is approximately sinusoidal: y = d sin(2πs/l) where l = 1.6 m and d = 10 mm. The suspension stiffness k = 8 × 104 N/m and the systemhas a damping ratio of 0.2. (a) Determine the amplitude of the steady-state vibration of the vehicle if it travels at speedv = 40 m/s.(b) Determine the speed of the vehicle for which the vehicle has the maximum amplitude.
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 have a dashpot 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.
An oscillator system without damping has a natural frequency of omega 0 = pi rad/s. Several types of attenuation are given to the system to provide a damping factor (y) of 0.1, 0.5 and 1 s^-1. (a) For each damping factor value, determine the omega value of the oscillator!. (b) determine the displacement at time t = 2 seconds for the damping factor y = 0.5 , if the displacement at t = O is 30 mm and v = 1.5 m/s
The amplitude of vibration of a single degree of freedom spring-mass-damper system is observed to reduce to 15 % of its initial value after 5 cycles. Spring stiffness equals (1500 + 007) N/m and mass equals (7.5 + 007) kg. Determine: The undamped natural frequency; The damped natural frequency; The logarithmic decrement; The damping ratio; and The coefficient of damping.
In a single degree of damped vibration system a suspended mass of 8kg makes 30 oscillations in 18 seconds. The amplitude decreases in 18 seconds. The amplitude decreases to 0.25 of the initial value after 5 oscillations. Determine (i) the spring stiffness (ii) logarithmic decrement (iii) damping factor (iv) Damping coefficient
The amplitude of vibration of a single degree of freedom spring-mass-damper system is observed to reduce to 15 % of its initial value after 5 cycles. Spring stiffness equals (1509N/m and mass equals (16.5 kg. Determine: The undamped natural frequency; The damped natural frequency; The logarithmic decrement; The damping ratio; and The coefficient of damping.
The amplitude of vibration of a single degree of freedom spring-mass-damper system is observed to reduce to 15 % of its initial value after 5 cycles. Spring stiffness equals (1500 + 21) N/m and mass equals (7.5 + 21) kg. Determine: • The undamped natural frequency; • The damped natural frequency; • The logarithmic decrement; • The damping ratio; and • The coefficient of damping.
A vehicle of mass m = 500 kg travels over a long terrain that is approximately sinusoidal:y = d sin(2πx/l)where l = 2 m and d = 0.012 m. The suspension stiffness k = 8 × 103 N/m.(a) Determine the velocity of the vehicle at which resonant vibration occurs.(b) Determine the amplitude of the steady-state vibration of the vehicle if it travels at speedv = 100 km/hour.
A block having a weight of 8 lb is suspended from a spring having a stiffness k = 40 Ib/ft. If the block is pushed y = 0.2 ft upward from its equilibrium position and then released from rest. What is the natural frequency of the vibration? Assume that positive displacement is downward.
2. A mass m = 2.5 kg is suspended by a spring of stiffness constant s = 40 Nm-1. The amplitude of the vertical oscillations of the system is observed to decrease to 20 % of the initial value after five consecutive cycles of oscillations. Determine the damping coefficient Rm of the system. Select one: a. 0.75 b. 1 c. 1.25 d. 0.5 e. 0.25