Consider the dynamic system shown below. Rod Pulley Rc Rod The following parameters are given for the system: ma - 1 kg mg-me- 2 kg mp = 3 kg k = 1200 N/m Pulley RA R₁10 cm. RB - Rc = 20 cm R₂ = 30 cm Note that pulleys A and B are constrained to move together and pulleys C and D are constrained to move together. Useful note... a. Obtain the characteristic equation(s) for this system. b. The applied force is removed. Then, pulley A/B is turned 2 degrees and released from rest. Find the system response.

Consider the dynamic system shown below. Rod Pulley Rc Rod The following parameters are given for the system: ma - 1 kg mg-me- 2 kg mp = 3 kg k = 1200 N/m Pulley RA R₁10 cm. RB - Rc = 20 cm R₂ = 30 cm Note that pulleys A and B are constrained to move together and pulleys C and D are constrained to move together. Useful note... a. Obtain the characteristic equation(s) for this system. b. The applied force is removed. Then, pulley A/B is turned 2 degrees and released from rest. Find the system response.

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

Related questions

Q: A lean disk of mass M and sweep A is associated by two springs of spring steady k to two settled…

A: given; →mass of disk =M→radius of disk =R→stiffness of spring=k→frequency=?

Q: What would be the stretched length in spring (AB)?

Q: The spring constant shown is k and the masses are ma and mg . The horizontal bar is smooth. At the…

Q: An engineer is interested in the horizontal displacement of the dynamic system depicted in Fig. Q1.…

A: Given Data: m=2 kgk=1 N/mc= 4 Ns/mf1(t)=-1 Nf2(t)=2 Ninitial conditionsx1(0)=x˙1(0)=0x2(0)=x˙2(0)=0…

Q: eads damping force g force leads inertia and damping force are rce leads them by 90

Q: The dynamic system below has the following parameters: m₁ = 20 kg, m₂ = 15 kg, m3 = 10 kg, k₁ = 100…

A: Given:To find:Mathematical modelTransfer functionState space representation

Q: Q6. For a point at distance 50 m and angle 450 to the axis which of the following are correct?…

A: Given data: a = 5 cm = radius of the piston q = 45° = angle between the axis of the piston and the…

Q: Solve for the following: 1. Equation of motion x(t). Assume Initial conditions for displacement and…

A: Solution: Given Data: m=10kgk1=100 N/mk2=80 N/mk3=75 N/mk4=120…

Q: A uniform plank of length 2.00 m and mass 35.0 kg is supported by three ropes, as indicated by the…

Q: An automobile is modeled as shown in Figure below. Derive the equations of motion, build the…

A: FOR solution refer below images.

Q: nciple of superposition and (a)find the possible values of r, (b) th =1kg, k=100 N/m, Y=0.2 m, and…

A: Given as,

Q: the pump and motor assembly stops work when you find the sum of the product of vibration intensity…

A: First, we'll denote the vibration intensity as V, acceleration as a, speed as v, and distance moved…

Q: Consider the dynamic system shown below. Jo k₂ M Determine the characteristic equation(s) when a…

A: Determine the characteristics equation?

Q: Introduction: provides general background about the suspension of motorcycle system of , its…

A: To Find:The general background about the suspension of motorcycle system.The application of the…

Q: : Nrite down the differential equation(s) that model the vertical dynamics of the system below…

A: dear student please rate me postive :) Stay safe stay happy ! data given - A system with two mass…

Q: Degree of Freedom - Free Undamped Vibn ostant. Car mass X2 k Car spring 2k M2 M2 Tyre mass 2m k2 X2…

A: For 11 problem, the answer given for 2nd mode shape is not correct. I solve that correctly in below…

Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

Consider the dynamic system shown below.
Rod
Pulley
Rc
Rod
Pulley
RA
= 10 cm
PIB
1A
The following parameters are given for the system:
m₂ = 1 kg
RA
mg mc 2 kg
RB Rc 20 cm
m₂ = 3 kg
R₂ = 30 cm
k = 1200 N/m
Note that pulleys A and B are constrained to move together and pulleys C and D are constrained
to move together.
Useful note...
a. Obtain the characteristic equation(s) for this system.
b. The applied force is removed. Then, pulley A/B is turned 2 degrees and released from rest.
Find the system response.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Characteristic equation

VIEW

Step 3: Calculation of response

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Pls hurry up very urgent with explain what is P and Q
1. The differential equations for a suspension system with input displacement (1) are 2+102 + 100z 10w + 100w w + 40w = ż+ 10z + 30u (a) Assume all initial conditions are zero and convert the equations above to Laplace domain (b) Demonstrate that if you solve for W(s) in the first equation and then substitute this expression for W(s) into the 2nd equation, when you solve for Z(s) you get Z(s) = 3000+300s Ls³ +40s² + 300s + 3000] 3 (c) What is the transfer function for this system? U(S)
Hi second question please. This is an engineering statics problem.
pls find the general force/fbd equations for all 3, all c are dampers, springs are k
Question 11: Figure 5 shows a lumped-parameter representation of a concept for a MEMS "tuning fork gyroscope" for measuring angular velocity. Displacements X₁, X2, and x3 are absolute positions of the respective masses and are measured from their static equilibrium positions where there is no deflection in the springs. The system friction is represented by three ideal lumped dashpot elements b₁,b2, and b3. Two external forces f₁ and f₂ are applied to masses m₁ and m₂, respectively. Derive the mathematical model of the MEMS gyroscope. x3 Leto, fi k₁ m3 k3 x1 m1 x2 m₂ f₂ b2
Consider the following hydraulic / mechanical system, where pi and P2 are the inputs to the system, and the piston is driving a pendulum. Assuming small angles 0 and a concentrated mass ma distance L1 from the pivot. Pell (P2 R2 P1 Pa ¡P3 R1 P4 L2 Li Develop the dynamic equation to model of the piston displacement, 0, as a function of the inputs, p1 and p2 in standard form. b. If you were to consider the input to the system to be the difference between the pressure on 0(s) either side of the piston, write the transfer function for the displacement of the piston: AP(s) Xj = 0 c. Develop the state equations for this system if the state variables are:
a) A two-degree-of-freedom coupled pendulum model is shown in Figure Q1a. The parameters of the model are: k=100 N/m; m=10 kg and L=1 m. The equations of motion of the system are given below. J₁ä + (mgL + kĽ² ) 8₁ - kľ² 0₁₂ = 0 J₁₂+(mgL+kĽ²)₂-kĽ² 0₁ = 0 i) Calculate the natural frequencies. ii) Draw the mode shapes. m Figure Q1a. b) In the above system discuss the implications of the following changes in coupling stiffness. i) k is reduced considerably to 0.1 N/m. ii) k is increased considerably to 1x105 N/m. c) Draw a schematic of modal test arrangement of a beam using instrumented impact hammer. d) Why is it necessary to measure force in a modal test?
Optimisation of the dampening to be 90%-95% after 5 cycle.
Please do not copy any answers already posted, they are incorrect.
None
Find the response X1(t) , X2(t)