#1 vibration, will upvote anyone who will answers thanks. Complete solution and correct units pls ;A spring-mass system kı, m has a natural frequency =f: (in Hz). If a second spring k2is added in series with the first spring, the natural frequency is lowered to one-half of f1. Determinethe value of k2 in terms of k,.

Answered: Image /qna-images/answer/ace9864c-f617-4a92-a8b7-d4903270490c.jpg

A spring-mass system kr, m has a natural frequency =f: (in Hz). If a second spring ka is added in series with the first spring, the natural frequency is lowered to one-half of f1. Determine the value of k2 in terms of k,.

A spring-mass system kr, m has a natural frequency =f: (in Hz). If a second spring ka is added in series with the first spring, the natural frequency is lowered to one-half of f1. Determine the value of k2 in terms of k,.

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: 35. A block of mass m = 2 kg is attached to the ends of two identical springs and rests on a…

A: First, calculate the natural frequency in rad/sec, then in Hz.

Q: 7. The oscillation of a spring-mass system is determined by u" + 99u' + 2u = 0 conditions u(0) = 4…

Q: the Disc shown in the system has a mass of (4 m), and a radius of (r) the system undergoes a…

Q: Express, as a function of t, the time interval needed for the amplitude of an oscillation to reduce…

A: As the amplitude of an oscillation is reducing, it has to be damped oscillation. In damped…

Q: General Solution for small oscillations of a simple pendulum with length 5.0 m and mass of 2.0 kg…

Q: An automobile manufacturer is testing the suspension system of their latest car model. They load the…

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

A: Given: Amplititude (A)=0.1m

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

Q: X A 1– D.o.F. system is given as shown. Find the equation of motion of the system in terms of the…

A: first of all making free body diagram of the given system , Now, according to newton law, sum of…

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 accelerometer indicates that the acceleration of a body is sinusoidal at a frequency of 8 Hz . If…

A: As per our guidelines we can answer only the fire question. Kindly post the remaining questions in…

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: 5. For the system shown in Fig. 7, m₁ = 10 kg and the absorber mass m₂ = 2.5 kg. If m₁ is excited by…

Q: Q2/ The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the…

A: Cc = critical damping coefficient = 2kmk = stiffness = 5400 N/mm= mass = 8Cc = 1,662.768

Q: An undamped simple harmonic oscillator has mass 2.0 kg and spring constant 50 N/m. The initial…

Q: Determine the spring constant, k if the system is to oscillate with a natural frequency, f of 11 Hz.…

Q: The masses m1 and m2, connected by an elastic cord, move in the vertical direction with small…

Q: A. Obtain the differential equations and set them in the matrix form. B. find the natural…

Q: The natural frequency of a small car is found to be 20 rad/sec when it is EMPTY. When the car is…

A: Given data Thenatural frequency of a small car is found to be 20 rad/sec when it is EMPTY. When the…

Q: Q9. The relaxation time for damped harmonic oscillator is 50 s. Determine the time in which the…

A: Given that the relaxation time is t=50 sec

Q: The equation of motion of a pendelum is given by: IÃÖ + 2CL²O + 4kĽ²0 = 0 If the amplitudes of the…

Q: A mechanical system has a stiffness of 5-kN/m and a mass of 2-kg. When a force of 20*sin(@t) [in M]…

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

Q: In vibration testing, an instrumented hammer is often used to hit a device to excite it and to…

A: Given data: M=1 Kg c=5Kg/s K=100KN/m

Q: A mass of 1 kg is suspended by means of springs as shown in figure. The spring consta K, K2 and K3…

A: Given:m=1 kgk1=1 kN/mk2=3 kN/mk3=2 kN/m

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

Q: A 110 g object on a spring oscillates left to right on a frictionless surface Given a frequency of…

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

A: Question (A) & (B) are solved here. For Question (C), Please post this question again.

Q: Consider a place where the gravity is one-ninth the gravity on Earth (g' g/9). then the frequency of…

Q: An oscillator system without damping has a natural frequency of omega 0 = pi rad/s. Several types…

A: Given : ω0 = 3.14 rad/s ζ=0.1,0.5,1 To find: a) Frequency of oscillator b) Displacement at t = 2…

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: 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: A spring-mass system K1, m, has a natural frequency of f1. If a second spring K2 is added in…

A: For a spring mass system stiffness of spring 1 = K1 mass = m natural frequency = f1 stiffness of…

Q: 32 kg k- 12 kN/m Figure: Question 2 2. A 32-kg block is attached to a spring and can move without…

Q: The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the…

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

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: Large amplitude of vibration is experienced when an engine having mass (1500 + 2) kg operates at a…

A: A spring-mass damper system consists of mass nodes connected via springs and dampers arranged in a…

Q: Q2: k= 10 kg/cm m= 8 kg Determine the natural frequency and the k motion equation of the system…

Q: The equations of motion of a two – degree – of freedom system are given as follows. [3k k Determine…

A: The natural frequency is calculated as: mω2-K=0det2m004mω2-3kkk4k=0for,m=5 kgk=100…

Q: 1. For the system shown below, if the mass is 10kg and the stiffness of the spring is 1000N/m, drive…

A: Given Data Mass of the spring is : m=10 kg Spring constant is : k=1000 N/m ao=0.1 mm=10-4 m From…

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: For the given system, the values of the constants are as follows: K1 = 2500 N/m, K2 = 1500 N/m, K3 =…

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: In a single degree of freedom undamped spring-mass system, the mass m 3 kg, and the stiffness…

Q: Prob. # 5] A spring-mass system, k, and m, has a natural frequency f1. If a second spring k2 is…

A: To find: The value of k2 in terms of k1. Given: The initial frequency is f1. The final frequency is…

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

#1 vibration, will upvote anyone who will answers thanks. Complete solution and correct units pls

;A spring-mass system kı, m has a natural frequency =f: (in Hz). If a second spring k2
is added in series with the first spring, the natural frequency is lowered to one-half of f1. Determine
the value of k2 in terms of k,.

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 4 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

Each piston of an engine makes a sharp sound every other revolution of the engine. How fast is a race car going if its eight-cylinder engine emits a sound of frequency 750 Hz, given that the engine makes 2000 revolutions per kilometer? At how many revolutions per minute is the engine rotating?
When a 2kg cylinder is suspended from a spring, the spring is stretched by a distance of 40 mm. What will be the natural frequency in Hz (use four decimal places) for aa 0.5 kg cylinder suspended from the same spring?
mass 1 is excited by a harmonic force whose maximum value and frequency are 2 N and 50 Hz, respectively. Where m1 = 5 kg, m2 = 5 kg, k1 = 2000 N/m and k2 = 2000 N/m. Which answer represents the amplitude X1 and X2?
A 110 g object on a spring oscillates left to right on a frictionless surface Given a frequency of 2.00 Hz and an amplitude of 0.10 m.a) Determine the spring constant. b) write the equation which describes its position as a function of time, If the object starts at x = 0.15 m at t = 0 and the equilibrium point is at x = 0
The natural frequency of a spring mass system is 2 Hz, When an additional mass of 1kg is added to the original mass m, the natural frequency is reduced to 1Hz, Find K and m ?
A 0,75 kg mass vibrates according to the equation x=0, 65cos(7,35+). Determine the: a) Amplitude b) Frequency c) Period
A vibrating system has the following parameters: m = 18 kg, K = 70 N / cm,c = 0.8 N.s / cm. Determine: a) The damping factor ξ, b) The frequency ofdamped oscillation ωD, c) the logarithmic decrease, d) the ratio of two amplitudes any consecutive and e) The equation of the general position X (t)
Express, as a function of t, the time interval needed for the amplitudeof an oscillation to reduce to half of its initial value.
Determine the natural frequency of a pendulum whose length is 41 ft. in Hz
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.
By what factor does the amplitude change in one period of these damped oscillations?
A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is A = 0.01 m and the mass of the block is m = 100 g then the angular frequency w is equal to