4.9. A one-degree-of-freedom system of natural frequency w, and damping ratio 5 < 1B subject to a rectangular pulse of magnitude Fo and duration to. Under what conditions will the maximum response occur after the pulse is removed?

Q: spring-mass system with m = 0.01 Mg and k = 5 kN/m is subjected to a harmonic force of amplitude…

A: m = 0.01 Mg = 10000 g = 10 kg k = 5 kN/m = 5000 N/m F0 = 0.25 kN = 250 N X = 100 mm = 0.1 m ω0 = ?

Q: For the mechanical system shown, a force of 2 lb( step input) is applied to the system, the mass…

A: Data given-  Force = 2lb (step input )  For MP = 0.95% value of zeta = 0.6

Q: A one-degree-of-freedom system is subject to a harmonic excitation whose magnitude is proportional…

A: Given DataAmax=9mmA=2mmfi=200Hz Finding the Damping ratio

Q: For the system shown, determine: a) the differential equation of motion, b) The damping ratio, c)…

A:

Q: Consider two springs that are hung in series from a horizontal support. The top-most spring has a…

A: (m1+m2)gk1+k2

Q: An undamped single-degree-of-freedom system has a mass of 1 kg (m) and a stiffness of 2,500 N/m (k).…

A:

Q: 6. A spring with a spring constant of k = 2 is placed in a medium with a damping force numerically…

A: Given data: k=2 lb/ftβ=4 Need to determine the all values of "m" for which the subsequent free…

Q: The amplitude of an undamped system subject to an initial displacement 0 and initial velocity x, is…

A:

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

A:

Q: How is constant amplitude sustained in forced oscillations?

A: When the oscillation is carried out by external force then this is known as forced oscillation.

Q: The period Ta of damped linear oscillation for a certain 1 kg mass is 0.27 s. If the stiffness of…

A:

Q: A machine of mass 30 kg is placed on an elastic foundation. A sinusoidal force of magnitude 28 N is…

A: The system is modeled as a mass attached to a spring in parallel with a viscous damper with a…

Q: 4. A dynamical structure having mass 20 kg is installed on the elastic foundation. This structure…

A: Given data: -  The mass of the structure is M = 20 kg. The sinusoidal force is F = 20 N. The…

Q: Consider an ideal SPRING-MASS SYSTEM with a block of mass m attached to a movable end of a…

A: Given data Spring-mass system with a block of mass m attached.Spring constant = k It undergoes…

Q: A vertical massless spring of constant k has a platform of mass M attached to it. A mass m is…

A: Pring and two masses are given. Spring is positioned vertically and Mass 'M' is attached to spring.…

Q: A mass attached to the end of a cantilever beam is subjected to an impulse of 5 Ns, in a direction…

A:

Q: (Section B) A gun barrel of mass 500kg has a recoil spring of stiffness 3,00,000 N/m. If the barrel…

A:

Q: a mass of 10 kg. is suspended from a spring. A dashpot with a damping coefficient of 300N.s/m is…

A: Please find the attachment for the detailed solution. Go through it and feel free to ask any…

Q: Problem (5) A gun barrel of mass 500kg has a recoil spring of stiffness 3,00,000 N/m. If the barrel…

A: Solution: a) Strain energy stored in the spring=12kx2 Initial kinetic energy of the mass=12mV2 Since…

Q: 1. For the system shown, the spring constant k = 400 kN/m, damping coefficient zeta = 0.5 and the…

A:

Q: 4.9. A one-degree-of-freedom system of natural frequency w, and damping ratio 5 <15 subject to a…

A: Find the attachment for the solution and please upvotes my work.

Q: A simplified model of a washing machine is shown. A bundle of wet clothes forms a weight wb of 20 lb…

A:

Q: A machine, subject to a harmonic force of 500N with 0.5Hz frequency, is modelled as a mass of 800kg…

A:

Q: Q1: A machine of mass 25 kg is placed on an elastic foundation. A sinusoidal force of magnitude 25N…

A: according to the given information we have a system modeled as a mass that is attached to the spring…

Q: (1) The bar of mass, m= 10kg and length L=lm is fixed at the left end as shown b (a) The equations…

A: Drawing the free body diagram of the system as shown below, Mass of the bar, m=10 kg,Length of the…

Q: A·1600kg•carsuspension system·lowered·10 cm•when the chassis is fixed-on-it. Moreover, the…

A: Data given: The given spring mass system consists of a damper which dampens the amplitude by half…

Q: Problem (1) A gun barrel of mass 500kg has a recoil spring of stiffness 3,00,000 N/m. If the barrel…

A: Given data: Mass (m) = 500 kg Stiffness (k) = 300000 N/m Recoil = 2 m Need to determine the initial…

Q: A 1600kg car suspension system lowered 10 cm when the chassis is fixed on it. Moreover, the…

A: Data given: m-mass on single wheel=400kgx-Static deflection=0.1mX2X1=Ratio of two consecutive…

Q: A wooden rectangular block of density p, height h and cross section b x a is depressed in an oil tub…

A:

Q: A machine of mass 25 kg is placed on an elastic foundation. A sinusoidal force of magnitude 25 N is…

A: Given: Mass of the machine is m=25 kg, sinusoidal force is F0=25 N  amplitude is Xmax=1.3 mm and…

Q: A mass of 10 kg stretches a spring 80 cm. The mass is acted on by an external force of 2cos(3.5t) N,…

A: Given data m=10 kgx=0.8 mF=2 cos3.5 tFd=0.5 Nx.=7 m/s

Q: A. Determine the solution of a one dimensional and damped linear oscillating system to a spike…

A: Since you have asked multiple questions, we have answered the first question for you. Kindly repost…

Q: Figure shows a system being driven by base excitation through a damping element. Base Assume that…

A:

Q: A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism…

A:

Q: A 30 kg object is undergoing lightly damped harmonic oscillations. If the maximum displacement of…

A:

Q: Calculate the frequency of damped oscillation of the system shown in Figure () for the value m =…

A:

Q: A mass-spring system oscillates on a fridtionless horizontal surface in simple harmonic motion with…

A:

Q: A mass weight 100 N is supported by a spring of stiffness 20 KN/m and a viscous damper. During free…

A: Given Data F=100 N K=20 kN/m

Q: Q: A robot arm composed of the mechanical vibratory system shown below. When M. (0) -5,7 N.m of…

A: To find: The mass m, c and k. Given: The moment M0t=5.7 Nm. The damping ratio ξ=0.7. The length is…

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.