2. A spring with k = 4500 N/cm supports a mass of 1.5 Kg.Determine the 'natural frequency' of this system in rad/sec &Hz?3. Determine the fourier series that represents the function as

Stiffness, k= 4500 N/cm= 4500(100) N/m= 450000 N/m Mass, m= 1.5 kg Note: i) Natural frequency of…

Answered: A spring with k= 4500 N/cm supports a…

Engineering

Mechanical Engineering

A spring with k= 4500 N/cm supports a mass of 1.5 Kg. Determine the ʼnatural frequency' of this system in rad/sec & Hz?

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: From recordings made of a simple harmonic motion, it is found that at a certain point in the motion…

A: This question is based on the concept of Mechanical vibration.

Q: k1 m1 Jo- k2 m2

Q: Problem 3) Given the period T = 1.2 day, find the frequency in Hz. Provide your answer in Hz to the…

A: Given data Period = 1.2 day Find the frequency in Hz First convert period day to seconds.

Q: Given mass1=10kg Jo=20kg-m2 mass2=15kg, a is half of b. The rocker is 30 centimeters long. k1=10N/m,…

Q: b Œ a M 0 k wwwwww Rigid bar

Q: The static deflection of a spring under gravity, when a mass of 1 kg is suspended from it, is 3 mm.…

Q: Write the differential equations for the vibratory system shown below. Assume there's no friction…

A: For the solution refer below images.

Q: A spring mass system consists of a mass 10 kg and a spring with a stiffness of 2 kN/m. The spring…

Q: Use the proportionality constant for unit analysis where necessary.

Q: A mass of 12 ks is attached to two springs each of stiffness 4000 N/m and mounted in parallel. What…

A: Givenm=12kgnumber of spring n=2arrangement - parallelstiffness of each spring k=4000N/m

Q: Consider the system of Figure 2, showing a rigid bar of mass 5.7 kg pivoted at point O. Assume that…

Q: The response of a system is given by xt=0.003cos 30t +0.004sin 30t m. Determine (a) the amplitude of…

A: Given data: - The response of the system is xt = 0.003cos30t+0.004sin30t m.

Q: / A weight is suspended under a spring and its displacement is 5 mm. What is its angular frequency…

Q: A vehicle wheel, tire, and suspension can be modeled as a SDOF spring and mass as depicted below:…

A: Vibrations: The back and forth motion of the body, when the body is displaced from the equilibrium…

Q: Question 2: A sensitive instrument of mass 100 kg is installed at a location that is subjected to…

A: INTRODUCTION : In this problem, a sensitive device with certain features is used to measure the…

Q: Determine the natural frequencies of the following 2 DOF vibrating system:

A: given:

Q: A 2-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is…

A: The mass of block is The spring constant is .The damping constant is .The initial displacement is…

Q: musical string instrument, has a string with a linear mass density of 5 g/m, vibrating in its fifth…

Q: When a 2kg cylinder is suspended from a spring, the spring is stretched by a distance of 40 mm. What…

A: Given, For m1 = 2 kg, x1 = 40 mm = 0.04 m And we need to find frequency ( f ) for m = 0.5 kg…

Q: A baby with a mass of 10.6 kg bounces up and down in his crib. The crib mattress behaves like a…

Q: n cm. The ratio of two successive amplitudes at the interval half of the time period 20. Evaluate…

Q: For a certain engine havI a flywheel approximated as a solid disc, is required for keeping the…

A: we have to determine the mass of the flywheel

Q: What is the action associated with the full period of a two-dimensional isotropic oscillator?…

A: The full period of a two-dimensional isotropic oscillator states that the time for an oscillator to…

Q: the natural frequency in HZ for the system below if the weight 13.266 N and spring constant 80N/m is…

A: Given data: W=13.266 Nk=80 N/m Need to determine the natural frequency of the system.

Q: An electrical switch gear is supported by a crane through a steel cable of length 4 m and diameter…

A: Given data: L=4 md=0.01 mT=0.01 s Need to determine the stiffness of the cable.

Q: In the shown figure, let m1 = 1 kg, m2 = 2 kg, kı = k3 = 100 N/m and k2 = 200 N/m. (a) Write the…

A: Consider a mass-spring system having two masses attached with three spring in the longitudinal…

Q: constant R EC is fixed. The 11 cm frc

Q: A mass of 21.5 kg is vibrating freely at the end of 3 springs connected in parallel. The spring…

Q: An inertial balance provides a way to measure the mass of an object based on oscillation without…

A: Basics of VIBRATION are used.

Q: A mass of 7.9 kg oscillates at the end of a spring of stiffness 26.1 Nm¹. If the damping ratio is…

Q: The string of a piano is made of music wire. The wire has a mass of 150 grams and a length of 1.5 m.…

Q: A 100 kg fan is mounted on four parallel springs and a damper as shown. If the spring coefficient of…

A: Equivalent stiffness of the system = 120/4 = 30 kN/m angular rotation = w =4000 x 2π60= 418.8790…

Q: Given mass1=10kg Jo=20kg-m2 mass2=15kg, a is half of b. The rocker is 30 centimeters long. k1=10N/m,…

Q: A particular naturally vibrating system is subject to damping. The system consists of a small mass m…

A: Given: m=0.1 kgk=200 N/mc=0.25 kg/s

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

2. A spring with k = 4500 N/cm supports a mass of 1.5 Kg.
Determine the 'natural frequency' of this system in rad/sec &
Hz?
3. Determine the fourier series that represents the function as

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

Given:

VIEW

Natural frequency of the system in rad/s:

VIEW

Natural frequency of the system in Hz:

VIEW

Step by step

Solved in 3 steps

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

Vibrations please help
Vibrations Engineering: Mass = 10 kilogramsSpring constant = 400 Newtons per meterPeriodic Force = 6 NewtonsForcing Frequency = 5 radians per secondInitial Displacement = 80 millimetersInitial Velocity = 2 meters per second Calculate: (Express the final answer in 4 significant digits) -the constant B (in millimeters) for the complementary solution -the magnification factor of the vibration -the constant A (in millimeters) for the complementary solution
please answer ans explain
What is the natural frequency of the spring mass system shown below? The contact between the block and the inclined plane is frictionless. The mass of the block is denoted by m and the spring constants are denoted by k, and k: as shown below. (A) (B) (C) (D) +k₂ 2m (k, +k, 4m m [k, +k m E
The natural frequency of a system is determined to be 15 Hz ignoring the effects of damping. Calculate the damped natural frequency of the system assuming a damping ratio of 0.7.
1. Express the angular resonant frequency for each of the undamped mechanical oscillating systems below: M TITT M M M (a) fuim-min (b) Fam-inf (c) (d)
Consider a place where the gravity is one-ninth the gravity on Earth (g = g/9), then the frequency of oscillation of a simple pendulum in that place, f', as compared to its frequency on earth is:
nas 03 Find the natural frequency of given system, the rigid rod is massless and mass of rod = m₁. 04 ng ^{K A 4/4 4/47 32K 규 Rigid you -42- M
ibä 30 A vehicle wheel, tire, and suspension can be modeled as a SDOF spring and mass as depicted below: The mass of the wheel and tire is measured to be 300 kg and its frequency of oscillation is observed to be 10 rad/sec. What is the stiffness of the wheel assembly? Also, calculate the frequency in Hz * ?and the time of period in sec اكتب المطلوب من السؤال فقط بدون ذکر التفاصيل )النواتج المطلوبة فقط(. 30 درجة vchicle frame -suspension tire and wheel
can you gudie me simple how we get this proof ??????
The natural frequency of a spring-mass system on earth is wn. The natural frequency of this system on the moon (Imoon = gearth/6) is A Wn B 0.408wn C 0.204wn D 0.167wn
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?