k2 b Input u(1) Figure QI elle

Q: Consider the following rotational mechanical a. Apply the "by inspection" method in Laplace domain…

A: Given: To find: Equation of motion Solve for q1(s) Transfer function

Q: Q3 A translational mechanical system can be simplified in schematic diagram as in (a) Draw the free…

A: Given: Let us consider the given figure, To find: The system's free body diagram. The system's…

Q: Q.1 Develop an analytical reasoning to prove that the mechanism as shown in Figure.1 have mobility.…

A: To determine:To calculate the mobility

Q: tating wheel of mass ?w (uniform mass distribution) is shown in Figure Q1. Springs and dampers are…

A: Wheel mass=mw

Q: For the mechanism shown in Figure P3.13 (a) Draw the velocity polygon (1 in = 10 in/sec) (b)…

A: GIVEN ro2B=1.5 in, rBD=3 in , ro2o4=4 in,  ro4D=2.5 incrBC=3.5 inc,  rCD=1 inch, θ2=60ο, θ˙2=300…

Q: 3. Consider the system shown below. The outputs of the system are the angular displacement of the…

A: Given: To find: State space model Transfer function Characteristic equation Poles Unit step…

Q: 4.5 Using the excitation system models of (4.46) - (4.49), construct a block diagram in ref the…

A: Given:

Q: Q3 A translational mechanical system can be simplified in schematic diagram as in (a) Draw the free…

A: To Find : The free body diagram of the system The equation of motion The transfer function Given :

Q: The pitch (angular motion) and bounce (up-down linear motion) of a motor vehicle is shown in Figure…

A: When an object is disturbed, its natural frequency is the frequency or rate at which it vibrates.…

Q: The following figure shows a machine of mass m mounted on a vibration isolator. The machine…

A:

Q: Routh-Hurwitz criterion determines:

A: Correct answer is D

Q: Q3 A translational mechanical system can be simplified in schematic diagram as in (a) Draw the free…

A:

Q: The physical system shown below consists of a mass, viscous damping, and two parallel springs. Do…

A:

Q: Figure 2). 1.2 1 0.8 Peak value: 1.1878 0.6 Peak time: 2.0723 sec 0.4 splacement of mass

A:

Q: 8- A fixed gear having 200 teeth is in mesh with another gear having 50 teeth. The two gears are…

A:

Q: x(1) -1- (0.53, 1.78) (0,0.8) (21,-1.3) (3.7,0.9) 4 (5.3,-0.7) (6.86, 0.5) The damping ratio of the…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: 4 Pre-Lab 4.1 Equations Governing the Cart Dynamics Derive the following equation of motion for the…

A: Given: To find: Derive equation

Q: Prepare the forward kinematic model lengths 1, 2 and le respectively by deve Respective coordinate…

A:

Q: For the translational mechanical system shown in Figure (3). 1. Write the mathematical model in a…

A: Given:To find:

Q: For the shown Mechanical system, k2 a) find: - Mathematical Model m2 - Transfer Functions - State…

A: Mathematical modelling is the representation of real world problems into mathematical equation to…

Q: 4) For the mechanical system shown below, find the transfer function T(s) = V₂(s)/R(s) Friction b₂…

A: The free body diagram of mass M2 is:andthe free body diagram of mass M1 is;and from (2);

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.