1. A spring-mass-damper system of M =0.05 Ib.s/in, K=15 lb/in, and C =0.7 Ib.s/in is subjected...
Question B A machine on a viscoelastic foundation (Figure 31.1), modelled as a spring mass-damper system is acted upon by a force modelled as a harmonic force: F(t) = 0.2 sin(wt) Force is given in N and time in seconds. W Figure 31.1 Nos Given numerical values: m = 10 kg C=5 M k = 1000 = 1) draw the correct Free-Body-Diagram and determine the equation of motion [2 marks) 2) determine the natural frequency and the damping ratio of...
A spring-mass system with m = 8 kg and k = 4000 N/m subjected to a harmonic force of amplitude 200 N and frequency (). When the mass of the system is increased by 20% from its original value, the amplitude of the forced motion of the new mass is observed to be 25% off the original one. Determine the frequency of the harmonic force and the amplitude of original system
For the system shown below, a 20Kg mass is sitting on a spring-damper system on a foundation. The system is operating at a frequency of 20 rad/s with only one unbalanced mass, m. For the maximum transmissibility at (=0.2, use the chart provided below to determine the suitable values for the spring and the damper constants If a second mass is added to the system (m2=m) at an angle 90 degrees behind the first mass, What is the maximum force...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mi+ci +kx- Asin(ot) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor un-damped natural frequency on a. and the A second order mechanical system of a...
Please answer it thanks Problem #1 (KPI 1.3.2) (1 point) A spring-mass-damper system is subjected to a harmonic force such as r = 0.95 Choose the correct answer: a. X = 0 and 0 = 180° b. x > 6 and 0 = 90° C. X=6 and 0 = 0 d. X« and = 0
3 dismo plesis The spring mass damper system shown is subjected to a force f(t), which is a step function. b m f(t) At time t=0, with zero initial conditions, the system is subjected to the force. The magnitude of the force is 4 newton, while the spring rate is 8.2 newton/meter, and the damping coefficient is 10 newton-sec/meter. Calculate the energy stored in the spring, in Joules, in steady state.
Consider the mass-spring system for mass 0.7 kg, spring constant N/m, and an oscillating force 2.6 cos(0) Newtons. That is, ost) What positive angular frequency a leads to resonan help (numbers) What is the resonance part of the solution (without the complementary solution); help (formulas)
Problem 1 (Harmonic Oscillators) A mass-damper-spring system is a simple harmonic oscillator whose dynamics is governed by the equation of motion where m is the mass, c is the damping coefficient of the damper, k is the stiffness of the spring, F is the net force applied on the mass, and x is the displacement of the mass from its equilibrium point. In this problem, we focus on a mass-damper-spring system with m = 1 kg, c-4 kg/s, k-3 N/m,...
A reciprocating pump weighing W-150 lb, is mounted at a middle of a steel plate of thickness 0.5 in., width of 20 in., and clamped along two edges as shown. During operation of pump, the plate is subjected to a harmonic force F(t)-P, . cos(ω·) [lb] 0.5 in. 100 in. where the amplitude of harmonic force is Fo=50 lb and its angular frequency: ω-62832 radl s Model the system as a simple spring and mass system in the horizontal plane....