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?

Q: Problem 1 An object of mass m = 0.2 kg is hung from a spring whose spring constant is 80 Nm-1. The…

A: Given, m=0.2kg. k=80N/m, Restoring force  Resistive force  1) Differential equation of the motion is…

Q: 12. A torsional pendulum has a natural frequency of 200 cycles/min when vibrating in a vacuum. The…

A:

Q: A 30-kg block is suspended from a spring with a stiffness of 300 N/m and attached to a dashpot of…

A:

Q: A spring-mass-damper system is at the equilibrium position. The mass m = 10 kg, the damping…

A:

Q: ounted on a vertical wall to support a 64.4 lb mass. At t=0 and an initial velocity of 9 in/sec. to…

A: GIVEN:K=54lb/inm=64.4lbv=9in/sec

Q: 1. A uniform rod of mass m is supported by a pin at 0 and spring of constant k and is connected to a…

A: The frequency with which something occurs is referred to as frequency. The term "period" refers to…

Q: 2. In V1 (Mass-Spring-Damper), the damping coefficient C depends on (A) the mass (B) the spring…

A: 2. The answer will be damping current as the damping coefficient is independent of mass and spring…

Q: A spring-mass-damper system is at the equilibrium position. The mass m= 10 kg, the damping…

A: Given Data The mass is: The damping coefficient is: The stiffness is: The initial velocity is:…

Q: A viscously damped system having resonant amplitude of 1.5 m, spring of stiffness of 1600 N/m is…

A: Given: The amplitude, x = 1.5 The spring stiffness, k = 1600 N/m The harmonic loading, F = 300 N

Q: A 10-lb weight is attached to a spring suspended from the ceiling. When the weight comes to rest,…

A: Given: W=10 lbx=1.5 inc=52 lbs/ft/secx0=3 in

Q: Consider a spring-mass system with mass equal to 1 kg, spring constant equal to 25…

A: a.   Write the expression for the critical damping coefficient,   Here, b is the coefficient of…

Q: For a damped oscillator with a mass of 390 g, a spring constant 66 N/m and a damping coefficient of…

A: mass, m=390 g or 0.39 kgspring constant, k=66 N/mdamping coefficient, c=75 g/s or 0.075 kg/sN=14…

Q: A 0.600kg mass oscillates at the end of spring that has a spring constant of 300N/m. the initial…

A: Data given-  m = 0.6 kg  K = 300 N/m  Ai = 0.5 m  A1 = 0.350 FD ∝ v  FD = -av

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: A 100-kg tumbler produces a harmonic force of magnitude 5000 N. The stiffness coefficient of the…

A: Givenm=100kgF=5000Nξ=0.2stiffness coefficient k=10×104N/mmaximum deflection ∆max=0.06m

Q: determine magnification factor of forced vibration produced by oscillator fixed at middle of the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. A precision grinding machine is supported on an isolator that has a stiffness of 1 MN/m and a…

A: The maximum displacement or distance traveled by a point on a vibrating body or wave as measured…

Q: A precision grinding machine is supported on an isolator that has a stiffness of 1 MN/m and a…

A: Given:Stiffness, k=1 MN/m or 106 N/mdamping constant, c=1 kN/s/m or 103 N-s/m

Q: Problem 1 A weight of 50 N is suspended from a spring of stiffness 4000 N/m and is subjected to a…

A: Given: The weight is W =50 N, The stiffness of spring k=4000 N/m, The harmonic force is Fh=60 N,…

Q: A mass of 5 kg is suspended on a spring and set oscillating. It is observed that the amplitude…

A: Given  m= 5 kg X3=5% X1 t=0.5 sec for  two oscillation

Q: 5 A machine is attached to the end of a steel ( E = 210(10)' N/m) cantilever beam with a length of…

A:

Q: For a 15 kg mass, a 300 N/m stiffness spring is used. An initial 60-centimeter displacement is…

A:

Q: Problem 2. A projectile of mass m= 10 kg travelling with a velocity of 50m/s strikes and becomes…

A: In the above question we have to find the damping coefficient and maximum displacement and the…

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 perfectly balanced motor with its shaft has a mass of 18 kg , and a 2 kg disc is fixed onto the…

A: Given data as per the question Mass of motor=18 kgMass of disc=2 kgMass of platform=180 kgk=1.5×107…

Q: Q2) ) A mass of 1 kg is to be supported on a spring having a stiffness of 9800 N/m. The damping…

A: Logarithmic decrement represents the rate at which the amplitude of free-damped vibrations reduces.…

Q: A loaded railroad car weighing 30,000 lb is rolling at a constant velocity v0  when it couples with…

A: Given data and data from the graph for a cycle: From the logarithmic decrement, On solving the…

Q: Given four series springs in a viscous damped system with a stiffness of 600 N/m, critical damping…

A:

Q: .15. A viscously damped single degree of freedom mass-spring system has a mass m of 2 kg, a spring…

A: The damping factor is the damping ratio. In the absence of driving force, the frequency in which the…

Q: A 6 kg mass is attached to a 3 m long spring. At equilibrium, the spring measures 3.05 m. The mass…

A:

Q: A heavy machine, weighing 3000 N, is supported on a resilient foundation. The static deflection of…

A:

Q: An advertisement board was pulled from the top point with a horizontal force of 100 kN with the help…

A: Given: Horizontal force (F)=100kNInitial horizontal displacement (x0)=75mm or 0.075mDisplacment at…

Q: In a single degree damped vibrating system a suspended mass of 8 kg makes 30 oscillations in 18…

A: Given data: The mass of the system is m = 8 kgThe number of oscillation N = 30Time taken to complete…

Q: An industrial sewing machine of 65 kg has an unbalance value of 0.15 kgm per rotation. The machine…

A:

Q: suspended by a spring having a modulus of 15 lb-s/in. When displaced and permitted to oscillate…

A:

Q: be 90% of the original value. What is the damping the stiffness of the spring is 1 kN/m. By…

A: Given:m=0.1 kgk=1 kN/m

Q: A weight of 18N is supported by a linear spring having a stiffness of 4 N/m and a dashpot having a…

A: Given : W = 18 N K = 4 N/m C = 56 Ns/m x0 = 4  mm = 0.004 m v0 = 0  To find : General solution…

Q: A damped 2 DOF system with one dashpot between masses 1 and 2 is subjected to a harmonic force…

A: Given:- W1=19.3lb W2=9.65lb k1=45lb/in k2=8.1lb/in To find:- Steady-state amplitude for each mass

Q: A 10 kg vibrating system is placed on a table which is bolted to the floor. Due to operation of…

A:

Q: The equation of motion of a one - degree - of - freedom spring – mass – damper system is given as; 6…

A: To find: The number of cycles executed and the critical damping coefficient. Given: The mass damper…

Q: The tail rotor section of the helicopter has 4 blades. Each of mass 2.3kg and the engine box of mass…

A:

Q: A damped single degree of freedom mass-spring system is excited at resonance by a harmonic forcing…

A: Data given-  Amplitude of harmonic force F = 80 N  Amplitude of force vibration  A1= 6 mm  w =…