A cas have M = 1000 kg, eppective stiptness of sPoing 200 kN/ if it is dõiven along Bough doad that has sinusoidal vaðiation of 3 cM at what Speeds is the vestical vibration OF Cas less than Icm, if the wave ient of bumpy 8oad is 5C meter 8-0 = )

A cas have M = 1000 kg, eppective stiptness of sPoing 200 kN/ if it is dõiven along Bough doad that has sinusoidal vaðiation of 3 cM at what Speeds is the vestical vibration OF Cas less than Icm, if the wave ient of bumpy 8oad is 5C meter 8-0 = )

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: Forcuhat Value of m wtul resonance occur fer the Sstem belew. 2008inot, 2x10 N/m

Q: 1) A 300-g mass is hung from acoiled spring and it stretches 20 cm.it is then streched an additional…

A: Given, mass of the spring is 300g First of all, calculate the spring constant of the spring,

Q: A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185…

Q: as shown below; b) Compute the amplitude of the steady-state vibration and the phase angle if W = 6…

Q: 2k FO 3k 3r k

Q: Derive the expression for the frequency trasfer functions X,(i w)/F (i w) and 0(i w)/F(i w) and…

A: Given : To find : Transfer function

Q: i need the answer quickly

Q: al frequency ( w

A: given:ωn=45+12 rad/sl=2m

Q: The free-fixed rod ( length of 2 m, diameter of 0.5 mm, density of 300 kg/m') vibrates in lengthwise…

Q: (1.13 The natural frequency of vibration of the following system is rad/s. [Take g = 10 m/s2, El =…

A: To find: The natural frequency of vibration of the system. Given: The value of EI=200 Nm. The value…

Q: Assuming that the gyroscope is at a point on the Earth's surface with latitude A and that ws >> 7,…

A: GYROSCOPE If the axis of spinning of rotating body is given and angular motion about an axis of spin…

Q: This is an example of an Undamped Forced Oscillation where the phonomenon of Beats Occurs. d the…

A: givenx''+23.04x=3cos5tand x0=x'0=0

Q: sed to support the equipment of weight W 1000 lbs shown. The equipment vibrates in such a way that…

Q: HiW 1/ The disk of the figure shown rolls without slip. If K= 4oo0 N/m, r=40 Cm, m= IKg, what is…

A: Consider the diagram shown below for the given system with small displacement x. Take the torque…

Q: -The instrument in fig(3) has mass of (50kg), with four springs each one them with stiffness…

Q: Find the maximum velocity of a free vibration with a response of 4(d^2 x/dt^2) e5x = 0. Initial…

Q: An undamped 2.11 kg horizontal spring oscillator has a spring constant of 21.9 N/m. While…

A: Calculate the amplitude of the oscillation. 0.5 kA2 = 0.5mv2 21.9*A2 = 2.11*2.492 A = 0.773 m

Q: A diving board has a mass of 3.5 kg and a stiffness of 7.3 N/m. Its length is 1.8 m. Determine the…

A: givendiving board mass M=3.5kgstiffness of diving board k=7.3N/mlength =1.8m

Q: Excersise 2: Calculate (a) the amplitude and (b) the phase constant for the vibration give by x =…

A: Given Convert this form into OR where x=amplitude=phase angle we know that,

Q: 1) 4 300-g mass is hung from acoiled spring and it stretches 20 cm.it is then streched an additional…

A: According to the given question:- Mass attached ,m =300g=0.3kg Stretching load, F=mg=0.3×9.8=2.94N…

Q: a) determine the total energy of the oscillating system. b) obtain an expression for the…

Q: Suppose you wanted to 'investigate the Similarities and di ffenences belween vibreations vibrations…

A: Given : To find : Response

Q: )find the foequency of motion. amplitude, pesiod f

A: Given Data: The weight attached to the spring is W = 3 N. The stretch of the spring corresponding…

Q: A shaft 1.5 m long has a diameter of 5 cm for the first 75 cm and diameter 7.5 cm for the remaining…

A: The solution is in next step

Q: Q1: (Section A) Considering single degree undamped vibration system and Newton's equation as follow:…

A: If the value of damping ratio or damping factor is less than 1, the system is said to be an…

Q: Q. A shaft of 50 mm diameter and 3 m long, is simply supported at its ends, carries three masses of…

A: The answer is given below

Q: A simplified vibration measuring instrument is used to measure the vertical acceleration of…

A: Given : ω=10 r/s m=1.2 kg k=104 N/m To find : a) max acceleration b) amplitude of duct

Q: Derive the equation of motion and find the natural frequency of vibration of each of the sys- tems…

Q: A shaft of length 0.95 m supported simply at the ends, is carrying a body of mass 84 kg at 0.38 m…

A: Solution:

Q: 3. The Department of Highways at Dale City put up a signage with a thickness of 4 inch at the corner…

Q: A shaft of length 0.95 m supported simply at the ends, is carrying a body of mass 84 kg at 0.38 m…

A: Given data , l=0.95 m a = 0.38 m b = 0.57 m E = 200 GN/m2d=65mm

Q: 1) A 300-g mass is hung from acoiled spring and it stretches 20 cm.it is then streched an additional…

A: Given Mass, m = 300 kg Total displacement = 35 cm

Q: A shaft of 40-mm diameter and 2.5-m length has a mass of 15 kg per metre length. It is Nimply…

Q: The damped frame was subjected to free vibration at W=1000 kN, u0=L+10cm. If the amplitude measured…

A: Given : W = 1000 kN u = 12 cm X = 9 cm t = 3 sec To find: damping ratio

Q: tiffness 250 Nm'. The rotor is unbalanced such that the quivalent to a mass of 5 kg located 50 mm…

A: data provided m = 40 kg me = 5 kg e = 50 mm =0.05m ς = 0.15w = 1000 rpm =1000×2π60= 104.72 rad/s

Q: by uency of the harmonic force coinc: and stiffness of an absorber that w quency of 10 Hz, if the…

Q: A 0,75 kg mass vibrates according to the equation x=0, 65cos(7,35+). Determine the: a) Amplitude…

Q: The rotor of a marine turbine has a moment of inertia of 750 kg - m ^2 and rotates at 3000 r.p.m…

A: The answer is given in next step

Q: A box that có. iins of Iment is transported by å truck that Is bjected to a vertical harmonic motion…

A: The maximum possible displacement of the mass can be calculated using the formula given below-…

Q: A diving board has a mass of 7.8 kg and a stiffness of 4.4 N/m. Its length is 1.8 m. Determine the…

A: Given data M=7.8 kg K=4.4 N/m

Q: Consider a two-degrees of-treedom system shown below What is the amplitude of vibration of mass 2 at…

A: Solution: Given Data: To Find: Amplitude of vibration of 2nd mass.

Q: machine is found to vibrate with simple harmonic motion at equency of 30 Hz and amplitude of…

Q: A simple pendulum consists of a 0.8-kg bob con nextensible cord with a length L = 1.4 m. The bo…

A: Given Data→ Topic - Simple pendulam Mass of bob (m) =0.8 kg Length of cord (L)=1.4 m Angular…

Q: Consider axial vibration of the uniform bar in Fig. 1 Obtain the characteristic equation from which…

A: Given, m=ρAL4 a) ∆(A − λI) = 0 is called the characteristic equation of matrix A. Eigenvalues λ of A…

Q: A 50 kg machine is mounted on an isolator with a stiffness of 6 x 10^5 N/m. During operation, the…

A: Given data: ◆ The mass of the machine: m = 50 kg ◆ The stiffness of the isolator: k = 6 × 105 , N/m…

Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

A cas have
M = 1000 kg, eppective
stiptness of SPoing 200 kN/m
if it is doiven along a dough soad that has sinusoidal vaðiation
of 3 cM
at what speeds is the vestical vibration Of Car leas
than icm, ie the wave ient of bumpy 8oad is
5C meter
8-0 = )

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

The damped frame was subjected to free vibration at W=1000 kN, u0=L+10cm. If the amplitude measured in the first period is 9 cm and t= L+1s at this time, what is the damping ratio (h), critical damping ratio, damping coefficient (c). L=2
The mass of the car is 1400 kg, which is evenly distributed over the four springs. The car's own weight compresses the springs into a pile for a distance of 20 cm. What is the characteristic frequency of car vibration in Hertz to one decimal place?
A mass of 0.75kg is attached to one end of a horizontal spring, of spring constant 400Nm-1. The other end of the spring is attached to a regid wall. The mass is pushed so that at time t=0 it is 4.0cm closer to the wall than the equilibrium position and is traveling towards the wall with a velocity of 0.50ms-1. a) determine the total energy of the oscillating system. b) obtain an expression for the displacement of the mass in the form x=Acid(wt+π)m, giving numerical values for A, w and phi
The turning moment diagram for a multi-cylinder engine has been drawn to a scale of 1 mm= 4500 N-m vertically and 1 mm = 2.4° horizontally. The intercepted areas between outputtorque curve and mean resistance line taken in order from one end are 342, 23, 245, 303, 115,232, 227, 164 mm2, when the engine is running at 160 r.p.m. If the mass of the flywheelis 1000 kg and the total fluctuation of speed does not exceed 3% of the mean speed, find theminimum value of the radius of gyration.
A box that contains of a 250 kg fragile instrument is transported by a truck that is subjected to a vertical harmonic motion given by ?(?) = 0.02 sin 3?. Assume that the instrument only moves in vertical translation and is supported by four springs with stiffness, k = 500N/m as simplified in Figure Determine the maximum displacement, velocity and acceleration experienced by the instrument
The device has a mass of 180 kg and a specific frequency of 100 Hz. What is the vibration amplitude transfer to the substrate when Vibration Insulators with a spring constant of 9.6 MN / m are installed under the device? There are 4 springs under the device, and the spring constants of the parallel springs add up. Enter the answer to two decimal places.
The car has a mass of 1290 kg and a body frequency of 1.8 Hz. Using a quarter-car model, determine the damping factor for a single shock absorber so that the relative damping factor for the suspension is 0.65? Give the answer in kg / s rounded to the nearest whole number.
The engine of the helicopter is delivering 600 hp to the rotorshaft when the blade is rotating at 1200 rpm. Determine to thenearest 1/8 in the diameter of the shaft is the allowable shearstress is 10.5 ksi and the vibration limits the angle of twist ofthe shaft to 0.05 rad. The shaft is 2 ft long and made fromsteel.
.A cast iron flywheel with mean radius of 250 mm runs at average of 100 rad/s and has a maximum fluctuation of energy ∆KE of 2500 N-m. If the coefficient of fluctuation of speed of 0.01. which of the following is the mass of the flywheel rim? choices: 400 kg 100 kg 25 kg 4 kg
A reciprocating pump, of mass 68.6 kg, is mounted at the middle of a steel plate of thickness 0.8 cm, width 50.4 cm, and length 279 cm, clamped along two edges as shown in the accompanying figure. During operation of the pump, the plate is subjected to a harmonic force F(t)=301 cos(84.60t) N. Find the amplitude of vibration of the plate. Given that the equivalent stiffness of the plate can be calculated as k=192EI / l^3and the young modulus is E=200 GPa.
Determine its differential equation and find its natural frequency. Mechanical Vibrations Problem.
For the given question and solution, Why is taux'y' after the 25 degree rotation = positive Rsin(phi) = 1.05MA instead of negative Rsin(phi) ? how can i determine the sign convention after rotation? i get mixed up with the sign convention of the shear stress after rotation.