A 50-kg turbine is mounted on four parallel springs, each of stiffness of 3 x 10 N/m When the machine operates at 40 Hz, its steady-state amplitude is observed as 1.8 mm What is the magnitude of the excitation? Given: m = 50 kg. k=3 x 10° N/m, o = 40 Hz, X= 1.8 mm Find: Fo

A 50-kg turbine is mounted on four parallel springs, each of stiffness of 3 x 10 N/m When the machine operates at 40 Hz, its steady-state amplitude is observed as 1.8 mm What is the magnitude of the excitation? Given: m = 50 kg. k=3 x 10° N/m, o = 40 Hz, X= 1.8 mm Find: Fo

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: An unbalanced small motor with me-1.2 kg.m is directly bolted to a machine with a mass of 500 kg.…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A vehicle is modelled as a combined mass-spring-damper system that oscillates in the vertical…

Q: spring-mass system with m = 0.01 Mg and k = 5 kN/m is subjected to a harmonic force of amplitude…

A: m = 0.01 Mg = 10000 g = 10 kg k = 5 kN/m = 5000 N/m F0 = 0.25 kN = 250 N X = 100 mm = 0.1 m ω0 = ?

Q: 50-kg machine tool is mounted on an elastic foundation. An experiment is run to determine the…

Q: A 30-kg block is suspended from a spring with a stiffness of 300 N/m and attached to a dashpot of…

Q: A mass-spring system oscillates on a frictionless horizontal surface in simple harmonic motion with…

A: Given: Amplititude (A)=0.1m

Q: spring-mass system consists of a mass weighing 100 N and a spring with a stiffness of 2000 N/m. The…

A: Given Data The amplitude of harmonic force, Fo= 25 N Stiffness of spring, k= 2000 N/m Calculating…

Q: When a body of unknown mass is attached to an ideal spring with force constant k=120 N/m, it is…

Q: .3 kg is carried on an elastic system of stiffness 350 kN/m, and carries an absorber consisting of a…

Q: Q2: Fig.(2), represents a simplified diagram of a spring-supported vehicle traveling over a rough…

A: as per rule, i solved 1st question only

Q: An electric motor with a mass of 20 kg is placed in the middle of a beam that is jointly connected…

A: Given: Mass of the rotor m=20kg Speed of the rotor ω=20rad/s Eccentricity e=0.020m Solution: Maximum…

Q: Figure Q1 shows two pendulum of masses m1 and m2 and length 1 and 12, coupled together with a spring…

A: given data: two pendulum mass m1&m2 stiffness of sping=k find frequencies f1&f2

Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…

A: We are suppose to solve only one question. Please post other question as a separate question.

Q: A 1-kilogram mass is attached to a spring whose constant is 16 N/m, and the entire system is then…

Q: A 16.3 kg motor is bolted to a light horizontal beam which has a static deflection of 0.19 cm due to…

A: GIVEN DATA UNBALANCE MASS m=0.02 kg Eccentricity e=15.8cm SPEED N=900rpm We have to calculate…

Q: A 20 kg motor is bolted to a light horizontal beam which has a static deflection of 0.2 cm due to…

Q: 20 sin(@t) B D 150 225 225 75 N 50 N K= 2,5 kN/m C= 33 Ns/m

Q: Problem 2: Consider the following spring/damper interconnection attached to the wall W where k= 50…

Q: Q1: A machine of mass 25 kg is placed on an elastic foundation. A sinusoidal force of magnitude 25N…

A: according to the given information we have a system modeled as a mass that is attached to the spring…

Q: A 20 kg motor is bolted to a light horizontal beam which has a static deflection of 0.2 cm due to…

A: Option d is correct.

Q: A 5-kg rotor-balancing machine is mounted on a table through an elastic foundation of stiffness 3.1…

Q: A spring-mass system, with a spring stiffness of 5,000 N/m, is subjected to a harmonic force of…

A: Given data: k=5000 N/mF0=30 Nf=20 Hzx=0.2 m Need to determine the mass of the system.

Q: Q2\ Amass is suspended from a spring system as shown in fig. Determine the natural frequency of the…

A: Given data m= 30 kg K1 = 1000 N/m K2 = 2000 N/m K3 = 4000 N/m

Q: A 2-kg block attached to an Ideal massless spring and fixed on the other end on a horizontal…

Q: A mass weighing 4 lbs. stretches a spring 1.5 inches. The mass is given a positive displacement of 2…

A: Solution: Given Data: W=4 lbsx=1.5 inδ=2 inu=0F=2 cos 3t

Q: A 91-kg machine element supported by four springs, each of constant k = 175 N/m, is subjected to a…

A: Given data: The mass of machine element, m = 91 kg. The spring constant, k = 175 N/m. The amplitude…

Q: A 1-kg block attached to an Ideal massless spring and fixed on the other end on a horizontal…

A: Spring force : The Spring force is the force exerted by a compressed or stretched spring upon any…

Q: A periodic driving force with an amplitude 2N and angular frequency o is applied to a spring-mass…

Q: A 6 kg mass is attached to a 3 m long spring. At equilibrium, the spring measures 3.05 m. The mass…

Q: A mass of 17.4 N weight is suspended in a box vertically by two springs having a constant of 42.52…

A: according to the given information two spring with constant, which is given below…

Q: A 0.500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonie…

Q: 6. A mass m is suspended from a spring of stiffness 4000 N/m and is subjected to a harmonic force…

A: Given data: F0=100 Nk=4000 N/mf=5 Hzx=20 mm Need to determine the value of "m".

Q: Mass = 1.6kg is hung from a spring. Static displacement is 1.4cm. The top support is pushed in a…

Q: Figure TQ3.5 shows a simple pendulum of length lh has a bob of mass m1. Another simple pendulum of…

A: Write the given expression. ω4g2-l1+l2l1l2m1+m2m1ω2g+m1+m2m1l1l2=0 Write the given data. m1=1…

Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…

A: Given data Force (Fmax) = 0.1 N Amplitude (A) = 0.01m Mass (m) = 400 g = 0.4 kg

Q: A mass-spring system oscillates on a frictionless horizontal surface in simple harmonic motion with…

A: Given that the amplitude a=0.2 let the spring constant=k

Q: f(t) www

Q: A mass-spring system oscillates on a fridtionless horizontal surface in simple harmonic motion with…

Q: Q2\ Amass is suspended from a spring system as shown in fig. Determine the natural frequency of the…

A: For the given spring-mass arrangement m = 30 kg k1 = 1000 N/m k2 = 2000 N/m k3 = 4000 N/m To…

Q: A massless bar of length 1 m is pivoted at one end and subjected to a force F at the other end. Two…

A: Where: M - Moment about point O I - Moment of inertia about point O α - Angular acceleration of…

Q: 2) A massless bar of length L carrying a tip mass m is rigidly connected to a homogenous disk of…

A: The potential energy of the 'm' mass P.E=mg(Lcosϑ) The kinetic energy of the mass 'm'…

Q: :- A mass (0.15 kg) is suspended from a spring of stiffness (6.3 N/m) without damping and is…

Q: A vehicle is modelled as a combined mass-spring-damper system that oscillates in the vertical…

Concept explainers

Strain Gauges

All the components used in civil engineering and mechanical engineering applications undergo deformations due to induced internal stresses under the application of external loads. Under repeated application of loads, there is a high possibility of failure of the components. Hence, periodic monitoring of the components and determination of stresses are very important.

Question

A 50-kg turbine is mounted on four parallel springs, each of stiffness of 3 x 10' N/m
When the machine operates at 40 Hz, its steady-state amplitude is observed as 1.8 mm
What is the magnitude of the excitation?
Given m= 50 kg. k= 3 x 10 N/m, o= 40 Hz, X = 1.8 mm
Find: Fo

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

A 0,75 kg mass vibrates according to the equation x=0, 65cos(7,35+). Determine the: a) Amplitude b) Frequency c) Period
A spring-mass system K1, m, has a natural frequency of f1. If a second spring K2 is added in parallel with the first spring, the natural frequency is lowered to 1/2f1. Determine K2 in terms of K1.
A mass of 36.3 kg is carried on an elastic system of stiffness 350 kN/m, and carries an absorber consisting of a mass 3.18 kg attached to it by a spring of stiffness 1 kN/m. Write down the equations of motion of the compound system and solve them to find the natural frequencies of the system and the corresponding amplitude ratios. [7.37 Hz; (X2/X1)= 39.8; 15.83 Hz; (X₂/X₁)= -0.2]
An electric motor with a mass of 20 kg is placed in the middle of a beam that is jointly connected on both sides. Rotor its unbalance is equivalent to a mass of 0.3 kg at a distance of 0.020 m from the axis of rotation. Due to the electric motor force acting on the beam t Sin F F  0 . The rotor is rotating at an angular speed of  = 40 rad / sec. Engine under the influence of force Find the displacement amplitude at the point where it is located (in the middle). The beam mass will be neglected. The beam has a modulus of elasticity E = 200000000000 N / m2 (200 GPa).
A table has a vertical sinusoidal motion with a constant frequency. What is the largest amplitude that the table can have if an object on the table is to remain in contact?
The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the springs can be combined to give an equivalent spring of stiffness 5.4 N/mm. If the vibrating system have a dashpot attached which exerts a force of 40 N when the mass has a velocity of 1 m/s, find : 1. critical damping coefficient, 2. damping factor, 3. logarithmic decrement, and 4. ratio of two consecutive amplitudes.
When a free vibrations is run on the system, the ratio of amplitudes on successive cycles is 2.5 to 1. determine the response of the machine due to a rotating unbalance of 0.25 kg*m when the machine operates at 2000 Rev/min.
spring-mass system consists of a mass weighing 100 N and a spring with a stiffness of 2000 N/m. The mass is subjected to a resonance by a harmonic force F(t) = 25 cos ?t N. Find the amplitude of the force motion at the end of a) ¼ cycle, b) 2 ½ cycles, and c) 5 ¾ cycles.
A radio set of 20 kg mass must be isolated from a machine vibrating with an amplitude of 0.05 mm at 500 cpm. The set is mounted on four isolators, each having a spring scale of 31400 N/m and damping factor of 392 N-sec/m. What is the amplitude of vibration of the radio?
A mass of 12 ks is attached to two springs each of stiffness 4000 N/m and mounted in parallel. What is the natural frequency of the system? Answer: 25.8 rad/s
A bungee jumper weighing 160 lb ties one end of an elastic rope with a length of 200 ft and stiffness of 10 lb/in in to a bridge and the other end to himself. If the man jumps off the bridge and assuming that the bridge is rigid, determine the amplitude of vibration. The initial position is zero and the initial velocity is 100 ft/s. * 371.72 ft 530.85 ft 242.33 ft 491.23 ft
A device with a mass of 370 kg is placed on top of the suspension, whereby the springs are compressed into a pile a distance of 4 mm. What is the natural frequency of the system in Hertz to one decimal place?