The uniform bar shown in the attached figure is pivoted at point O. Its motion is controlled by three springs and a damper as illustrated; find the value of the damping coefficient C. if the damping ratio is to be 0.4. Given the following data Data: k₁-7000 N/m, k-8000 N/m, ky 10000 N/m, M-12 kg. b=0.4 m a=0.2 m J=0.5 Kg.m² www Bar MJ Lifum f ww K₂

The uniform bar shown in the attached figure is pivoted at point O. Its motion is controlled by three springs and a damper as illustrated; find the value of the damping coefficient C. if the damping ratio is to be 0.4. Given the following data Data: k₁-7000 N/m, k-8000 N/m, ky 10000 N/m, M-12 kg. b=0.4 m a=0.2 m J=0.5 Kg.m² www Bar MJ Lifum f ww K₂

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

Related questions

Q: Write the equation of motion of the system using D'Alemberts principle. Find the natural frequency…

Q: *Need answer only for the a3. Consider a mass spring system with an external force ?(?) = ?osin?o?.…

Q: 3) A one-degree-of-freedom system has an effective mass M-4-kg, an effective spring stiffness…

A: To find (a) The natural frequency ωn and critical damping ratio ζ (b) The response q as a function…

Q: Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by…

A: Given: m1=4 kgm2=4 kgk1=256 N/mk2=384 N/mk3=256 N/m To find: Equation of motion in matrix form…

Q: 2- A damped single degree of freedom mass-spring system has a mass m = 5 kg, a spring stiffness k =…

A: Step 1:Step 2:Step 3:Step 4:

Q: A 160 pound object is suspended from a spring with spring coeficient 3 Ibt. The whole system is…

A: Given: F(t) = -32sin(2t)+21cos(2t) m= 160 lb k = 3 lb/ft c= 1 lb sec/ft

Q: The figure shows a structure composed of a beam and a system of springs that supports a box weighing…

A: Given:To find:(a) Equation of motion of the system.(b) The frequency and natural period.

Q: 1. Two carts with negligible rolling friction are connected as shown in Figure 1. An input force…

A: Step 1: Step 2: Step 3: Step 4:

Q: A mass of m kg is on a spring with spring constant 10 N/m and dampingconstant 3 Ns/m. Find the mass…

A: solution given data: K =10 NmC=3 N-sm

Q: A damped single-degree-of-freedom vibration system has m= 7 kg, c= 549 Ns/m, and k= 10 kN/m.…

A: In vibrating system, damping ratio represents the degree of dampness provided in the vibrating…

Q: The period ra of damped linear oscillation for a certain 0.7 kg mass is 0.25 s. If the stiffness of…

Q: 2) Find the critical damping constant c of the system shown in the figure. Choose a suitable damping…

Q: The figure shows a photo of a swing ride at an amusement park. The structure consists of a…

A: As per bartleby guidelines only first three subparts are answered.for other parts pls post them…

Q: 4. Consider the following spring-mass systems below with zero initial conditions described as x (0)…

A: Please find the below attached solution of problem given,feel free to ask any further…

Q: The period Ta of damped linear oscillation for a certain 0.9 kg mass is 0.25 s. If the stiffness of…

Q: 2-23. A rigid bar AB is weightless and pivots at A as shown in the accompanying figure. Determine…

A: It is asked to generate differential equation of motion and then find the natural frequceny

Q: Consider the following system (m 27 kg and k=3kN/m). in k Suppose that the damping coefficient is…

A: Given , morning =27kg and K = 3000 N/m C = 0.5 *C_c

Q: An aircraft undercarriage oleo can be simplified to a mass-spring damper system with a single degree…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Consider a system of two dampers, with damping constants c and c2, arranged in parallel as shown in…

A: Given, The bar remains horizontal when the force is zero. The free-body diagram with the force and…

Q: Consider the system shown below. The two pulleys, small and large, are bolted together and move as a…

Q: For the system shown in figure, compute the damping ratio, state whether the system is critically…

A: 1.2.

Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

Q: pring stiffness k = 2700 N/m, and a damping coefficient e = 18 N-s/m. The ss is subjected to a…

Q: meun y a damper with damping coefficient e, as well as a spring wi /m. Moment of inertia of the…

A: To given thatmass (m1)=1kgmassm2=0.5kgλ=30°spring constant,K=2N/minertia of pulleyJ=0.01Kg.m2Radius…

Q: Two springs, damper and a mass are attached to a rigid, weightless bar PQ as shown below. Write the…

A: The objective of the question is to derive the equation of motion for a system consisting of two…

Q: 6. A machine of mass m = 2kg is supported by four springs and a damper of coefficient of damping c =…

A: Natural Frequency:

Q: 6. A machine of mass m = 2kg is supported by four springs and a damper of coefficient of damping c =…

A: Given: mass of the machine→m=2 Kg Damping coefficient→C=1 Ns/m Equilibrium deflection of the…

Q: Determine the differential equation describing the motion of the piston actu given that there is a…

A: GivenP=pressure in the chamber A=area of the pistonM= mass of the pistonx= position of the piston

Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

The uniform bar shown in the attached figure is
pivoted at point O. Its motion is controlled by
three springs and a damper as illustrated; find the
value of the damping coefficient C, if the
damping ratio is to be 0.4. Given the following
data
Data: k₁-7000 N/m, k₂=8000 N/m,
ky 10000 N/m, M = 12 kg,
b=0.4 m a=0.2 m J-0.5 Kg.m²
Lif
ww
Bar
MJ
$0
www.m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given Data

Step 2: To find out

Step 3: Explanations

Solution

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Two identical thin bars, each of mass m and length L, are welded together at a right angle as shown in figure 1. This T-shaped assembly is pinned to ground at point 0. Block B is given a prescribed forced displacement xg = b sin øt. Friction and damping are neglected. a) Derive the equation of motion for the system in terms of the angular position of the bars, 6, and parameters m, L, k, and g; b) Derive an expression for the natural frequency of the system; c) Derive an expression for the forced angular response of the system; L/2 L/2 L Хв
answer would be much appreciated
For the system shown below, the disc of mass M rolls without slip. Assume that the mass M = 11 kg, the damping constant C - 209 Ns/kg and the stiffnesses K, = 9,036 N/m, K2 = 4,855 N/m, the radius of the disc R = 0.4 m and the moment of inertia of the disc about its centre I = MR² What is the damping ratio of the free vibration of this system? www K2 K1 M *No Slip
B3
Figure 2 shows an electrical motor with mass M=13 kg located at the middle of pinned-pinned beam. A damper with damping coefficient of c=59 N.s/m is also attached to the beam at point A . Considering Young’s modulus of the beam E=98 GPa, moment of inertia of the beam I=18 mm4, length of the beam L=1 m, unbalance mass of m0 =1.9 kg, eccentricity e=2.8 mm, and zero initial conditions, find the steady state amplitude of point A at resonance in millimetre (mm).
4. Problem 2: Consider the block diagram shown in the figure below. Determine the values of K and k such that the system has a damping ratio & = 0.7 and an undamped natural frequency wn = 4 rad/s. Please, use the block diagram algebra and the second
The simple mechanism shown in the Figure can be calibrated to measure the temperature change. Use dimensions of a = 25 mm, b = 90 mm, and L1 = 180 mm. The coefficient of thermal expansion for member (1) is 23.0×10–6 /°C. Determine the horizontal displacement pointer tip D of the mechanism shown in response to a temperature increase of 35°C. Assume that pointer BCD is not affected significantly by temperature change.
Pravinbhai
QUESTIION A. B AND C
A metal polishing machine consists of a box full of ceramic particles mounted on the top of a shaker device as shown in the figure below. The shaker runs at f = 24.2078 Hz and carries an out of balance mass of mo = 19.9725 kg at a distance of e = 0.0499 m from the centre. The static deflection of the spring is A = 19.3179 mm, the damping constant is c= 20239.4652 kg/s and the total mass of the machine is M = 813.8726 kg. Assume that gravitational acceleration is g = 9.81 m/s?. The amplitude of the steady state response of the system is:
Consider the system in Figure 1-a, which is initially at equilibrium. The massless bar AOB with point mass m = 2 kg attached to B rotates with rotational viscous damping coefficient b about the fixed point system is connected by a horizontal spring (acting at B) to a fixed wall. The rotating bar has a length 3L=1.5 meters. L 2L k twine ww Figure 1-a A Rotational viscous damping coefficient b B g Massless a) Write the linearized equation of motion of the system (Figure 1-a) for small angular displacement 0 (t). (Symbolic)
A mechanical system is depicted in the figure below. A pinion with fixed rotation axis passing through C2 meshes with a translatory rack of mass m = 0.8 kg. The rack, which is supported on two identical guides (bearings), each of damping coefficient c = 12 N s/m, meshes with another solid pinion that, as a result, rolls without slippage on another fixed rack. Derive the differential equation describing the movement of the system. Determine transfer function G(s) = X(s)/F(s) where X(s) is the Laplace transform of x(t) and F(s) is the Laplace transform of f(t). Find x(t) if the input is f(t) = 80(t) = step function. The system parameters are: J1 = 0.001 kg m² and J2 = 0.0003 kg m², m. = 0.4 kg, the radii R1 = 0.05 m, R2 = 0.07 m, R = 0.06 m, the stiffness k = 160 N/m, %3D a. b. C. Pinion J2 R Rack Guide RI Pinion R2 Fixed rack