A massless bar of length 1 m is pivoted at one end and subjected to a force F at the other end. Two translational dampers, with damping constants c₁ =10 N-s/m and c₂ = 15 N-s/m are connected to the bar as shown. Determine the equivalent damping constant, Ceq of the system so that the force F at point A can be expressed as F = CeqV where v is the linear velocity of point A. 12 €₂=15N-s/m q=10N-s/m 0.75 m

A massless bar of length 1 m is pivoted at one end and subjected to a force F at the other end. Two translational dampers, with damping constants c₁ =10 N-s/m and c₂ = 15 N-s/m are connected to the bar as shown. Determine the equivalent damping constant, Ceq of the system so that the force F at point A can be expressed as F = CeqV where v is the linear velocity of point A. 12 €₂=15N-s/m q=10N-s/m 0.75 m

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

For a certain mass-spring system m = 100 kg and k = 8000 N/m. Determine the value of the critical damping constant C_c and the damped natural frequency W_d and the logarithmic decrement d if C = C_c/3
Two blocks A and B, each of mass m , are supported as shown by three springs of the same constant k Block A and B are connected by a dashpot and block B is connected to the ground by two dashpots, each dashpot having the same coefficient of damping c Block A is subjected to a force of magnitude P=Pm sin wf t. Write the differential equations defining the displacements xA and xB of the two blocks from their equilibrium positions.
Determine the spring constant, k if the system is to oscillate with a natural frequency, f of 11 Hz. Mass = 36 kg
For the system shown, determine: a) the differential equation of motion,b) The damping ratio, c) Equivalent mass and stiffness, d) Natural frequency ωn
for the system shown determine the natural frequency and the damping factor
Which of the following statements are valid for the rod below that is undergoing fixed axis rotation about pin O, where the spring constant is k = 115 N/m and the damping coefficient is c = 302 N.s/m? The slender rod has mass m = 17 kg and length L = 0.6 m. The differential equation governing the motion of the rod is given below. (In the statements below, wn denotes the natural frequency ωn, while wd denotes the damped frequency ωd.) a) Damped vibration, wn and wd not applicable b) Underdamped, wn = 2.60 rad/s, wd = 17.57 rad/s c) Overdamped, wn = 2.25 rad/s, wd not applicable d) Overdamped, wn = 2.60 rad/s, wd not applicable e) Underdamped, wn = 2.25 rad/s, wd = 26.55 rad/s
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.
Determine the steady-state amplitude of the mass center of the bar of Fig P6.3 when its right end is subject to a moment M=4000son105t N.m.
The block (mass not given) is subjected to the force F = (910 sin(5.3t)) N, where t is in seconds. The spring constant (of each of the springs) is k = 347 N/m. The damping ratio is c/cc = 0.69. If the natural frequency of vibrations is fn = 1.02 Hz, what is the amplitude (in meters) of the steady-state vibrations? Choose the correct answer: a) There is not enough information to solve b) 910.000 c) 1.107 d) 2.215 e) 0.049
Determine a natural frequency of vibration as a function of k₁, k₂. g and W of a spring-mass system placed on a inclined plane as shown in the figure:
A 64-lb weight suspended from a spring (spring constant is 200 lb/ft) is released from rest 0.4 ft below the equilibrium position. If there is a resistance (lb) numerically equal to 0.04 times the velocity at any instant, determine the time for the damping factor to decrease 50% of its initial value g=32 ft/sec square
A loaded railroad car weighing 30,000 lb is rolling at a constant velocity v0 when it couples with a spring and dashpot bumper system (Fig. 1). The recorded displacement–time curve of the loaded railroad car after coupling is as shown (Fig. 2). Determine (a) the damping constant, (b) the spring constant. (Hint: Use the definition of logarithmic decrement given in 19.129.)