The EOM for the following 1-DOF gyroscope JÖ + BO + KO = Hw is: w is the angular velocity of the gyroscope about the input axis, is the angular position of the spin axis, H is the angular momentum stored in the spinning wheel, J is the mass moment of inertia of the wheel about the output axis, B is the viscous friction coefficient about the output axis, and K is the spring constant of the restraining spring attached to the spin axis. Determine the transfer function relating output to the input w. Case K spin axis output axis BD Go Wheel spins at constant velocity input axis

The EOM for the following 1-DOF gyroscope JÖ + BO + KO = Hw is: w is the angular velocity of the gyroscope about the input axis, is the angular position of the spin axis, H is the angular momentum stored in the spinning wheel, J is the mass moment of inertia of the wheel about the output axis, B is the viscous friction coefficient about the output axis, and K is the spring constant of the restraining spring attached to the spin axis. Determine the transfer function relating output to the input w. Case K spin axis output axis BD Go Wheel spins at constant velocity input axis

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: For items 4-5, consider the engine system shown. Crank AB is 0.0600 m long. Rod BD is 0.300 m long.…

Q: NPV calculation simulating 20% increase in product cost.

A: PLEASE PROVIDE ME WITH THE QUESTIONS OR A RELEVANT REFERRENCE THAT WILL GUIDE ME IN HELPING YOU…

Q: The system illustrated in Figure Q3 shows a mechanism of mass 3m that can slide horizontally and…

A: mass, m = 5 kg Length, L = 0.5 m stiffness, k = 1200 N/m It was asked to provide the equation of…

Q: The figure shown below (Fig. 1) is a schematic representation of a conversion system…

Q: Problem 4: Use the principle of virtual work to determine the equation of motion for the system…

A: For solution refer below images.

Q: 1) A block of mass M is constrained by rollers to motion in the x direction. A small mass m is…

A: Find out:The horizontal component of the force on the mass M is exerted by rod AB.Given:Mass M = 2…

Q: For the given figure, assume that the cylinder rolls without slipping. Use your favorite method to…

Q: A 25 kg mass is resting on a spring of 4900 N/m and dashpot of 147 N-se/m in parallel. If a velocity…

Q: For the problem related to Fundamental.4, a sketch of the considered system showing and naming (or…

A: Given data : The radius rA=3 in Radius rB=64 in The distance of point P =7 in vp=21 ins , t=5 s…

Q: Draw a free body diagram and derive the equation of motion of the system below. Find the natural…

A: The mass moment of inertia of the pulley=Jo Stiffness of the spring=k The free body diagram of the…

Q: Problem 2: Suppose the massless rod in the discussion of the nonlinear pendulum is a string of…

Q: In the mechanism shown below, points E and B have the same vertical coordinate. Find the velocities…

Q: An engine develops 200 kW of power at a mean speed of 75 rpm. The coefficient of energy fluctuation…

Q: Q7/ Four masses A, B, C and D as shown below are to be completely balance. Mass (kg) Radius (mm) 180…

A: Step 1:Mass of B is 30kgMass of C is 50kgMass of V is 40kgRadius of A is 180mmRadius of B is…

Q: Quarter car suspension model The figure below a model of the suspension of a car. r(t)is the…

Q: For the double slider mechanism shown in the following figure, the crank OA rotates at a uniform…

A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: A. The mechanism shown is used to feed cartons to a labeling machine. The drive shaft rotates…

A: Given Data: Ram Weight W = 1.5 lb Coefficient of friction μ=0.2 Linear Ram Acceleration f=5378 in/s2…

Q: Question 10: Figure 4 shows a mechanical system. Mass m is attached at the end of the rigid rod,…

A: Lets us consider the spring is at its free length,when, z= 0, and ,The modified functional diagram…

Q: Derive the governing equation of motion for the rocker-arm valve assembly shown below. Assume…

A: Given figure To derive The governing equation of motion for The rocker arm valve assembly

Q: A uniform circular disc of mass 10 kg is pivoted at point O and restrained by the tortional spring…

Q: (a) The motion of the rigid bodies can be categorized into three which are, translational motion,…

A: Translational motion- It is a linear motion along a straight line. General plane motion-It is a…

Q: Question 1 A sketch of a valve and rocker arm system for an internal combustion engine is give in…

A: Please find the answer below

Q: For the following mechanism, Given: . • Lengths: O₂A=4 in., O;B-8 in, BC=5 in., O₂O3-4 in. and…

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

Q: Derive the Euler-Lagrange equations of motion for the three-link PPP robot shown below. Assume the…

Q: A generating set is arranged on board ship with its axis parallel to the longitudinal centre-line of…

A: We know, Gyroscopic couple is given asGivenr=180mv=36km/hr=mass of revolving part, m=1400kgradius of…

Q: The radius, r, of the pulley shown in figure Q1 is 100mm and has a mass moment of inertia of I = 0.1…

Question

The EOM for the following 1-DOF gyroscope is:
JÖ + BO + KO = Hw
w is the angular velocity of the gyroscope about the input axis,
is the angular position of the spin axis, H is the angular
momentum stored in the spinning wheel, J is the mass moment
of inertia of the wheel about the output axis, B is the viscous
friction coefficient about the output axis, and K is the spring
constant of the restraining spring attached to the spin axis.
Determine the transfer function relating output to the input w.
Case
K
spin axis
output axis
BOD
Go
Wheel spins at
constant
velocity
input axis

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

VIEW

Step 2: Determining the transfer function

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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

Needs Complete typed solution with 100 % accuracy.
Question 9: Figure 3 shows a mechanical system. The rod (with moment of inertia J) rotates about the pivot at only small rotation angles. As pictured, theta is positive clockwise. Attached is mass m, which moves positive to the right. When stationary in the position shown, all springs are undeflected. Using BOBODDY, find the mathematical model of this system assuming small rotation angle 0. Link, moment of inertia J k3 L₁ 12 5 Ꮎ wwww Figure 3: Mechanical System m k₂ b
first 4 part please
For the rotational mechanical system below, write, but do not solve, the equations of motion. T 大 Ji cele DI
Please answer this with detail so I can understand it correctly
3- The single-degree-of-freedom "manipulator" shown below has total mass m = 1, with the center of mass at and has inertia tensor Rot ¹Pc: Ch= 100 020 002 'd From rest at t = 0, the joint angle 01 moves in accordance with the time function: 0₁ (t) = bt + ct² in radians. Give the angular acceleration of the link and the linear acceleration of the center of mass in terms of frame {1} as a function of t.
a) An anemometer for measuring the wind speed consists of three thin, hemispherical shells of mass Meach and three connecting rods of mass mas shown in Figure Q1a. If the mass moment of inertia of the thin hemispherical shell about its centre of mass, axis GG' is given by 12 5 Ma? where a is the inner radius of the hemispherical shell. Find the mass moment of inertia of the anemometer about the axis AA'. Give your answer in terms of M, m, a and I. Consider the central rod as a thin rod. b) If the anemometer is rotating at 4 rev/sec. The system parameters are given as M=200g, m=90 g, a=40 mm and l=0.3m find the rotational kinetic energy and angular momentum. A' G
can you show the steps taken to equation of motion, how do you find the steady displacement of the mass m,find the total reponse in detail and the show the step taken to find the force transmitted in the part c.
The link length and value of O2 for some four bar linkages are defined below, (fixed link =12 cm, drive link =5 cm, coupler link = 10 cm, follower link= 8 cm) 1. draw the linkage to scale and graphically find all possible solution (both open and cross) for 03 and O4, analytical . 2. If w = 2 rad /s (CCW) find the angular velocity for bar 3 and 4 3.if a= 5 rad/s² (CCW) find the normal and tangential acceleration for link 3 and 4
QUESTION 15 The slider crank mechanism in Figure Q15 consists of a piston connected by a rod to a crank of radius r = 0.27 m that rotates with constant angular velocity w = 10 rad-s-1. The piston experiences a combustion force F (N) as a function of time t (s), given by the expression F = 10000 sin(wt) and its position x (m) is related to the rotation angle 9 (rad) of the crank by the expression x = r cose Determine the maximum power of the piston. Provide only the numerical value (in Watts) to zero decimal places and do not include the units in the answer box. 0 Figure Q15: Slider-crank mechanism +x * -F
Find the mobility of the following mechanism
ms mp mL A small frog of mass me clings to the left end of a uniform pole of mass mp and length L, and a large frog of mass my clings to the right end of the pole as shown in this top-down view. The system is rotating about its center of mass. The large frog is moving with tangential speed UL. Treat the frogs as point masses. Show all work and solve in terms of given variables. A. Find the center of mass of the system measured from the right end of the pole. B. What is the magnitude of the angular velocity of the system?