19. A weight of 25 N is suspended from a spring that has a stiffiness of 1,000 N/m. The weight vibrates in the vertical direction under a constant damping force. When the weight is initially pulled downward a distance of 10 cm from its static equilibrium position and released, it comes to rest after exactly two complete cycles. Find the magnitude of the damping force.

19. A weight of 25 N is suspended from a spring that has a stiffiness of 1,000 N/m. The weight vibrates in the vertical direction under a constant damping force. When the weight is initially pulled downward a distance of 10 cm from its static equilibrium position and released, it comes to rest after exactly two complete cycles. Find the magnitude of the damping force.

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 of 32 pounds is suspended from a spring with a modulus of 5 lb/ft. From equilibrium position, the weight is pulled down 4 inches below and then released. Given that the damping force in pounds is numerically equal to four times the instantaneous velocity, what is the position of the weight after sec.
A 96lb weight stretches a spring 3.2ft in equilibrium. it is attached to a dashspot with damping constant of 18lb-sec/ft. The weight is initially displaced 15 inches below equilibrium and given a downward velocity of 12ft/sec.a. What is the natural frequency of the mass and spring in hertz?b. What is the critical damping coeficient in lb-sec/ft? c. After how many seconds will the mass cross the equilibriun the first time?
Consider a spring-mass system with mass equal to 1 kg, spring constant equal to 25 Newton/meter.Which damping constant b causes critical damping?If the damping constant b in the above system is set to 3 N ∙ sec/m, then what can be said about the number of timesdoes the object pass through its equilibrium position?If the damping constant b in the above system is set to 8 N ∙ sec/m, then what is the interval of time between thesecond time the object returns to its equilibrium position and the third time it returns to its equilibrium position?
An sdof system consists of mass 175 kg and a spring constant k 530 kn/m while testing the system a relative velocity of 0.3 m was observed on application of force of 450 n determine the damping ratio
A spring, with a 54 lb/in spring constant, is mounted on a vertical wall to support a 64.4 lb mass. At t=0 and an initial velocity of 9 in/sec. to the left, the mass is released from a position 2 inches to the right of the equilibrium position. Determine: a.Amplitude, C b. Period, Ƭ c. Natural frequency
A mass weighing 1/4 kg. is attached to a spring with stiffness k = 16 N/m. The mass is displaced 1/2 m. to the right of the equilibrium position and given a rightward velocity of 1 m/sec. Neglect damping and external forces. Find y(t), A, phi, omega, the period P and the first time (t>0) the mass passes through equilibrium.
A force of 3 N stretches a spring by 1 m.(a) Find the spring constant k.(b) Amass of 4 kg is attached to the spring.At t = 0,the mass is pulled down a distance 1 meter fromequilibrium and released with a downward velocityof 0.5 meters/second. Assuming that dampingis negligible, determine an expression for the positionof the mass at time t. Find the circular frequencyof the system and the amplitude, phase,and period of the motion.
using differential equation A mass weighing 2.45N stretches a spring 0.6125 meter. Assuming that a damping force numerically equal to 2 times the instantaneous velocity acts on the system, Determine the equation of motion if the mass is initially released from the equilibrium position with an upward velocity of 3 m/s. What is the position of the mass when t= 1/4 sec.
The mass of a single degree damped vibrating system is 7.5 kg and makes 24 free oscillations in 14 seconds when disturbed from its equilibrium position. The amplitude of vibration reduces to 0.25 of its initial value after five oscillations. Determine : 1. stiffness of the spring, 2. logarithmic decrement, and 3. damping factor, i.e. the ratio of the system damping to critical damping.
A spring, with a 54 lb/in spring constant, is mounted on a vertical wall to support a 64.4 lb mass. At t=0 and an initial velocity of 9 in/sec. to the left, the mass is released from a position 2 inches to the right of the equilibrium position. Determine: a. Angular frequency
A spring-mass system with m = 0.5 kg and k = 10,000 N/m, with negligible damping, is used as a vibration pickup. When mounted on a structure vibrating with an amplitude of 4 mm, the total displacement of the mass of the pickup is observed to be 12 mm. Find the frequency of the vibrating structure.
Asimple harmonic oscillator is formed by attaching a 0.75kg mass to a horizontal spring. The mass is pulled 0.2m from its equilibrium position and the realeased from rest. Due to the effect of damping, after completing one full oscillation in 1.31 seconds, the mass's total energy is 93 % of its original energy. Determine the damping parameter b in standard SI units of kg/s