MINE IF A SYSTEM WILL EXHIBIT RESONANCE. For example, will a system with m = 10...
Draw Lewis structures to determine which of the following
compounds exhibit resonance. Enter the letters corresponding to all
those compounds which exhibit resonance. (If you find that choices
A, C, and F all have resonance and the others do not, for example,
you would enter ACF as your answer. Make sure the letters you enter
are in alphabetical order, with no spaces or commas separating
them.)
2. Draw Lewis structures to determine which of the following compounds exhibit resonance. Enter...
A spring is suspended vertically from a fixed support. the
spring has spring constant k = 8nm^-1
(5 points) A spring is suspended vertically from a fixed support. The spring has spring constant k 8N m-1. An object of mass m kg is attached to the bottom of the spring. The subject is subject to damping with damping constant β N m-1 s. Let y(t) be the displacement in metres at the end of the spring below its equilibrium position,...
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 to a harmonic force F(t)=30 Cos (10t) Ibf. Determine: (a) The equation of motion of the system (b) The response as function of time (c) The value of the resonance frequency (d) The transmitted force (e) The range of frequencies for which greater force would be transmitted (f) Redesign the system such that only full force is transmitted to the foundation Plt) x(+)
Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 = 10 N 92 = 8N, and m = 10 kg subjected to the harmonic force f(t) = qı sin(vt) + 92 cos(vt), v = 1 rad/ sec. Assume zero initial conditions (0) = 0 and c(0) = 0. Derive and plot the analytical solution of the displacement of the system. mm m = f(t) WWWWWWWW No friction Problem 2 Problem 3 (30 points): Using...
2 criticalF m 2m2 A) For a frictionless system, resonance occurs when the system is driven at the natural frequency wo vk/m. If we take the friction out of the spring-mass system. we're studying, we have m 1 and k 26 still. Calculate the natural frequency of this frictionless system, compare it to the critical driving frequency for the system with friction included, and draw a conclusion about the effect of friction on the frequency at which resonance occurs. B)...
Question 10 The 400-kg mine car is hoisted up the incline using the cable and motor M. For a short time, the force in the cable is (F determine its velocity when t- 2s - 2m/s 17 15 2.0 m/s 4.6 m/s The answer is not given 876 m/s 14.1 m/s Question 10 o Question 10 1.4 points Sa The 400-kg mine car is hoisted up the incline using the cable and motor M determine its velocity when t For...
A) Use judicious guessing to solve the nonhomogeneous spring-mass model with m g(t)4cos(5t) 10,-20, k-30, and B) Is this system resonating, in the practical sense? In other words, does the solution of that model have the maximum possible amplitude? And how do you know?
A) Use judicious guessing to solve the nonhomogeneous spring-mass model with m g(t)4cos(5t) 10,-20, k-30, and B) Is this system resonating, in the practical sense? In other words, does the solution of that model have the...
Find the total response of a single-DOF system with m
= 10 kg, c = 20 N-s/m, k = 4000 N/m, xo =
0.01m and v0 = 0 when an external force F(t) = 400cos(5t) acts on
the system.
Assignment 2 1. Find the total response of a single-DOF system with m = 10 kg, c = 20 N-s/m, k = 4000 N/m, x, = 0.01m and Vo=0 when an external force F(t) = 400cos(51) acts on the system
Consider a damped forced mass-spring system with m = 1, γ = 2, and k = 26 under the influence of an external force F(t) = 82 cos(ωt). We can prove that the amplitude of this motion is given by R(ω) = p F0 m2 (ω0 2 − ω2 ) 2 + γ 2ω2 = 82 √ ω4 − 48ω2 + 76 For what value of ω will the maximum amplitude occur? When resonance will occur and how would you...
The mechanical system shown in the figure below is excited by a sinusoidal force f(t)-Fi cos(ut + ?) N. The differential equation of the displacement x(t) is Use phasor techniques to solve for the displacement phasor Xin terms of the excitation frequency ? , and the mechanical elements M = 0.1 kg, D = 8 N-s/m , and K = 2,000 N/m . If Fi-10 N and ?? = 30°, determine the excitation frequency w (in rad/s) at which the...