Assume the 2-dimensional spring-mass, frictionless system below has the following characteristics:m₁ =30m₂ = 40k₁ =K₂ =707607X1,0 = 0 mX2,0 = 1 mV1,0 = -1 m/sV2,0 = 0 m/sk₁m₁k₂m₂X2Solve for x₁(t) and x₂(t) analytically and plot your solutions. Then, solve numerically for x₁(t) and x₂(t) andoverlay your numerical plots on your analytical plots. Are the two solutions similar?

Answered: Image /qna-images/answer/4868e9e4-8a86-420d-8ecf-b18c1fecd0b0.jpg

Assume the 2-dimensional spring-mass, frictionless system below has the following characteristics: m₁ = 30 m₂ = 40 K₁ = 707 K₂ = 607 X1,0 = 0 m X2,0 = 1 m V1,0 = -1 m/s V2,0 = 0 m/s k₁ m₁ XI k₂ ↑ m₂ Solve for x₁(t) and x₂(t) analytically and plot your solutions. Then, solve numerically for x₁(t) and x₂(t) and overlay your numerical plots on your analytical plots. Are the two solutions similar?

Assume the 2-dimensional spring-mass, frictionless system below has the following characteristics: m₁ = 30 m₂ = 40 K₁ = 707 K₂ = 607 X1,0 = 0 m X2,0 = 1 m V1,0 = -1 m/s V2,0 = 0 m/s k₁ m₁ XI k₂ ↑ m₂ Solve for x₁(t) and x₂(t) analytically and plot your solutions. Then, solve numerically for x₁(t) and x₂(t) and overlay your numerical plots on your analytical plots. Are the two solutions similar?

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

Similar questions

EHide blocks This course Clear my choice Giving that the input to the shown system is f(t) = sin(wt) and the output is the displacement y(t), determine Y(s). Hint: Start by getting the transfer function Y(s)/F(s). Y(t) frictionless surface 2b b Select one: Y(s) = O a. (3mbs2 + 3kbs + k)(s² + w²) Y(s) = O b. (ms² + 3bs + k)(s² + w²) 3w Y(s) c. (3ms² + 2bs + 3k)(s² + w²) 3bo Y(s) = O d. (mks2 + 3bs + k)(s² + w²) 3kbo Y(s) (mks2 + 3kbs + 1)(s² + w²) Oe. Clear my choice Activate Windows Mith the shown closed-loop poles on the s-plane has the shown response c(t) to a unit-step input. (True or False)
Using the equation of motion and please include free body diagram. thank you!
Q4/ Write the displacment equation y(t) of the system below if (m=3.5 kg K=2.5 N/mm and C= 0.018 N.s/mm) : 2 m k
solve using laplace
Please do not copy any answers already posted, they are incorrect.
State the equation that mathematically represents the system. All in domain X(s) hint: there are 3 equations 4:00-1-1-1-1!1! k₁ 0000 0000 B₂ B₁. m₁ 0000 k3 without friction x1 (1) m2 B3 -f(t) + - X2 (1)
A spring with mass 1 kg is attached to one side of a spring with spring constant k = 12 kg/sec2. The other end of the spring is connected to the side of a steel beam so that the spring may oscillate in the horizontal direction. Suppose that friction is proportional to velocity with constant of proportionality f = 7 kg/sec. Write a differential equation for y(t), the position of the mass at time t, with the initial conditions y(0) = 0 and y(0) =1 m/sec. Solve your resulting IVP.
A 3-kilogram mass hangs from a spring with a constant of 4 newtons per meter. The mass is set into motion by giving it a downward velocity of 3 meters per second. Damping in newtons equal to five times the velocity in meters per second acts on the mass during its motion. At time t = 6 seconds, it is struck upwards with a hammer imparting a unit impulse force. Set up the initial-value problem to compute the displacement of the mass as a function of time. Do not solve the equation.
Fluid: Consider the following two tank system, where an input flow enters the first tank with flowrate Qri and travels through a pipe of fluid resistance Rf to fill up the second tank. The fluid then flows out of the second tank through an orifice governed by the square-root orifice equation for pressure drop, Qf,0 = k(Pza). Find the linearized system equations written in terms of pressure. Note that P1 and P2 are pressures relative to atmospheric pressure (not absolute pressures) Qti Pa = constant C1, P, R, C+2, P2 k Q1
V00
W 40 lb with bucket plugged 12" initial depth 2" diameter drain Prob 3: A five-gallon bucket nearly filled with water weighs 40 lbs. The initial depth of the water in the bucket is 12 inches. A 2-inch diameter plug is suddenly removed from the bottom of the bucket. A brief transient behavior occurs to establish flow but before a significant decrease in water level occurs you may assume a quasi-steady flow situation exists as water drains straight down out of the bucket. What does the draining bucket and water weigh?
In the figure below Atwood’s machine is drawn - two masses  and  hanging over a massive pulley of rotational inertia  and radius , connected by a massless unstretchable string. The string rolls on the pulley without slipping.a) Find the acceleration of the system and the tensions in the string on both sides of the pulley in terms of in terms of given variables.b) Why are the rope tensions on two sides of the pulley not the same? Explain it physically.c) Suppose mass    and the system is released from rest with the masses at equal heights. When mass  has descended a distance , find the velocity of each mass and the angular velocity of the pulley.[4***] A string is rolled around a cylinder(   kg) as shown in figure. A person pulls on the string, causing the cylinder to roll without slipping along the floor