6. A body weighing 16 lb is suspended by a spring in a fluid whose resistance in lb wt. is twice the speed of the body inft/sec. A pull of 25 lb wt. would stretch the spring 3 inches. The body is drawn 3 inches below the equilibriumposition in the fluid and then released. Find the period of oscillations and the time required for the damping factorto be reduced to one-tenth of its initial value.sprirelec

Given: The body weight, m = 16 lb The fluid resistance, R = 2(dy/dt) The pull, P = 25 lb The stretch…

6. A body weighing 16 lb is suspended by a spring in a fluid whose resistance in Ib wt. is twice the speed of the body in ft/sec. A pull of 25 lb wt. would stretch the spring 3 inches. The body is drawn 3 inches below the equilibrinm position in the fluid and then released. Find the period of oscillations and the time required for the damping factor to be reduced to one-tenth of its initial value.

6. A body weighing 16 lb is suspended by a spring in a fluid whose resistance in Ib wt. is twice the speed of the body in ft/sec. A pull of 25 lb wt. would stretch the spring 3 inches. The body is drawn 3 inches below the equilibrinm position in the fluid and then released. Find the period of oscillations and the time required for the damping factor to be reduced to one-tenth of its initial value.

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 machine having a mass of 5 kg vibrates in a viscous medium. A harmonic force of 50 N acting on it causes the resonant amplitude of 20 mm with a period of 0.3 sec. (a) Find the damping coefficient (b) if the frequency of exciting force is decreased by 20% with respect to natural frequency, find the maximum amplitude. Find out the increase in amplitude of the forced vibration when damper is removed
2) Consider the compound pendulum-spring-mass system below where the mass mã is added to the tip and then connected to a spring of stiffness K. The mass of the pendulum mp is assumed to be evenly distributed and at the length 1/2 (The length of the pendulum is 1). Use the energy method to find the equation of motion, then linearize using the small angle assumption, and finally find the natural frequency. K going
A vertical spring-mass system is submerged in oil. The spring has a stiffness coefficient of 3 N/m, and the mass is 1 kg. If the dampened angular frequency omega_d of oscillation is 0.866 Hz, find the damping coefficient b for the oil and how long it takes the spring to reach 50 percent of its original amplitude.
3) Consider the simple pendulum-spring-mass system below, where mass m is added to the tip of the rod. The simple pendulum is then connected to a spring as demonstrated below. Use the energy method to find the equation of motion, then linearize using the small angle assumption, and finally find the natural frequency. 1/2 K m
The nat. period of an undamped system is 3 s, but with a damping force that is proportional to the velcoity, the period becomes 5 s. Find the differential equation of motion of the system and its solution.
The frequency of a damped harmonic oscillator is one-half the frequency of the same oscillator with no damping. Find the ratio of the maxima of successive oscillations. 1 An automobile suspension system is critically damped, and its period of free oscillation with no damping is 1 s. If the system is initially displaced by an amount z, and released with zero initial velocity, find the displacement at t =1s. 2.
a damper, the frequency of oscillation is found to the stiffness of the spring is 1 kN/m. By introducing coefficient of the damper? be 90% of the original value. What is the damping In a spring-mass system, the mass is 0.1 kg and the stiffness of the spring is 1 kN/m. By introducing be 90% of the original value. What is the damping (a) 1.2 Ns/m (b) 3.4 Ns/m (c) 8.7 Ns/m (d) 12.0 Ns/m
A spring is such that a 2-lb weight stretches it 6 inches. There is a damping force present,with magnitude the same as the magnitude of the velocity. An impressed force (2sin8t) isacting on the spring. If at t = 0, the weight is released from a point of 3 inches below theequilibrium point, find its position for t > 0.
The displacement curve of the car body after the bump is shown in Fig.2.Find the natural frequency and damping ration of the system.
A mass with a 60 g vibrate at the end of a spring. The amplitude of the motion is 0.394 ft and a frequency is 0.59 HZ. Find the period and spring constant, the maximum speed and acceleration of the mass, the speed and acceleration when the displacement is 6 cm, compute the kinetic and the potential energy when the position is 6 cm.
A spring is stretched (250mm) to the equilibrium position when attached to mass of 15 kg. If the object is initially displaced 100mm downward from its equilibrium position and given a velocity of 150 mm/sec downward. Find the displacement at any time? Use g-9.81 m/sec?.
A 3-kilogram mass hangs from a spring with a constant of 4 newtons per meter. The mass is set into motion by giving it a downward velocity of 3 meters per second. Damping in newtons equal to five times the velocity in meters per second acts on the mass during its motion. At time t = 6 seconds, it is struck upwards with a hammer imparting a unit impulse force. Set up the initial-value problem to compute the displacement of the mass as a function of time. Do not solve the equation.