tating wheel of mass ?w (uniform mass distribution) is shown in Figure Q1. Springs and dampers are connected to wheel using a flexible cable without skip on wheel. (a) Determine all the mathematical modeling equations of the system for the tra

Q: Consider the mechanical system shown below. The system is at rest for t <0. The input force u is…

A: Given: To find: Governing equations Transfer function Electrical equivalent equations

Q: For the next mechanic system, draw the free body diagram clearly and model the system in frequency…

A: The free-body diagram of the given system is shown below.

Q: A translational mechanical system is shown in Figure Q1. In this system, u(t) is the displacement of…

A:

Q: Assume a 2 DOF rigid body with a rigid bar, which is supported by a two-spring damper supports.…

A:

Q: Consider the double-slider two-loop linkage of Figure 2.23, where r₁ = 1, ₂ = 5.2, p = 5, "DE = 4,…

A: Given: →r1=1, →r2=5.2, →rF=5, →rDE=4, →rCD=1.5     and →θ1=π3 rad=60° Because the angle made by DE…

Q: Design a scotch yoke mechanism that can produce a linear displacement of XX cm. a) Sketch your…

A: Input link rotates = 30 rpm

Q: a) Find the transfer function F₁(s) = 01(s)/T(s) of the rotational system. Consider the initial…

A: Given: To find: Transfer function

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: a) Suspension system of a car. Finding the transfer function F₁(s) = Y(s)/R(t) and F₂(s) =…

A: Given: To find: Transfer function

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: Routh-Hurwitz criterion determines:

A: Correct answer is D

Q: 1. Write the differential equation of the vehicle shown in Fig. 1 by summing forces in x-direction…

A:

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

A:

Q: Q.4- A model for feedback control system employing both angular position and velocity feedback is…

A: Given:The equation that describes the system is .Here,  is rotary inertia,  and  are position and…

Q: k2 b Input u(1) Figure QI elle

A:

Q: Problem 2 Deduce the equations governing the dynamics of the hydraulic control system shown in the…

A:

Q: Assume you have a 1U cubesat, which has a total mass of 2kg. It has one reaction wheel to control…

A: Given: Consider the given data, Total mass of the CubeSat, m=2 kg Mass of the reaction wheel, mw=0.2…

Q: Consider two degree of freedom of coupled pendulum with horizontal rod vibration system are shown in…

A: Given: To find: Equation of motion State space model

Q: For the mechanical translation system below, find the transfer function 0,/T and O2/T. Use the…

A:

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: For the type of robot shown in figure Q1 (last page): (a) (b) (c) Produce a diagram clearly showing…

A: Given: To find: Kinematic chain DH parameters Values of θ4, θ5, θ6, d6

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:

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.