A spring with a mass of 1 kg has a spring constant 43 kg/s2. If the spring begins at equilibrium position and is given a velocity of 4 m/s, find the damping constant tha would produce critical damping.

A spring with a mass of 1 kg has a spring constant 43 kg/s2. If the spring begins at equilibrium position and is given a velocity of 4 m/s, find the damping constant tha would produce critical damping.

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: Trace the flow of steam and explain the processes that steam undergoes in the plant.

A: Water TreatmentThe process begins at the bottom right corner of the diagram, where the condensate…

Q: Drilling and Completion Engineering II An exploration well is to be drilled to a total depth of…

Q: You've been asked to design a stamping tool as shown. What are the internal forces at A and B? Ans:…

A: Draw FBD of the given system

Q: Problem 1: A motor delivers 50 lb-ft of torque to the pinion gear D, which is in mesh with the…

Q: Question 5 [3/68]: The spring-mounted 0.8-kg collar A oscillates along the horizontal rod, which is…

A: Introduction:The circular motion of an axis of rotation is known as rotational motion. Circular…

Q: (b) The pressure, volume and temperature at the beginning of compression of a four stroke petrol…

A: The objective of the question is to calculate the mean effective pressure in the cylinder of a four…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 525 N/m as shown in the…

Q: A centrifugal pump transports water between two reservoirs. The pump has an outer diameter of 15 cm,…

A: The outer diameter of the pump,.The inner diameter of the pump, .The width of the blade, .The rpm of…

Q: Determine an equivalent lumped mass model for the crankpin.

A: To determine an equivalent lumped mass model for the crankpin, you would typically follow these…

Q: Problem 9-85: The solid shaft is subjected to a torque, bending moment, and shear force. Determine…

Q: 1. Water at 60 °F flows from the basement to the second floor through the 0.75-in. (0.0625.…

A: To finddetermine the pressure at point (1) ifall losses are neglected the only losses included are…

Q: (b) The gudgeon pin is used to connect the piston and the connecting rod. Show from first principles…

A: The objective of the question:Show that the maximum bending moment acting on the gudgeon pin is…

Q: Compute the change in specific entropy when helium, initially at a temper- ature of 273 K and a…

Q: (1) The shaft has an outer diameter of 1.5 in. and an inner diameter of 0.8 in. If it is subjected…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: An unknown object is suspended from a thin string and fully submerged in a container of water. Water…

A: The solution is provided below.

Q: determine the state of stress in a solid rod using the principle of superposition. A solid rod has a…

Q: Q4.2. A springboard-type diving board is built from high grade aluminum. This particular board has a…

A: L= 3.85 mM= 65 kgMass of driver= 65 kg

Q: A heat pump is installed in a building to heat the space to a constant 22 °C when the outdoor…

A: Note: As per the policy, we can solve the first three parts. Please resubmit the remaining part.

Q: Air at 300K and 1 bar enters from a 900 elbow connected to a channel with surface of constant…

A: Since you have posted many sub parts in a question, as per our guidelines we can solve only first…

Q: Two cylinders act right after one another. Each cylinder is metered, and some actions are slow, and…

A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Your team is prototyping a simple braking system for your model car. The 3.4 kg wheel with a radius…

Q: For air properties use online source: https://www.peacesoftware.de/einigewerte/luft_e.html The…

Q: Explain the difference between brittle and ductile materials?

A: The difference between brittle and ductile materials is provided below

Q: Before the application of the impulse to after the removal of the impulse: 13. Which has greatest…

A: Disclaimer from Bartleby:Hello. Since your question has multiple sub-parts, we will solve the first…

Q: Please don't provide handwritten solution ...

A: Hence the Moment Diagram as shown belowExplanation:Step 1: A continuous beam is laid on three…

Q: 7. The rod assembly rotates about its z-axis. The mass C is 10 kg and its initial velocity is 2 m/s.…

A: velocity of mass after 2 sec H = 54kg-m2/sExplanation:

Q: 1.5 (A). A simple turnbuckle arrangement is constructed from a 40 mm outside diameter tube threaded…

Q: For the pair of 25-lb forces applied to the handles of the crimper tool, determine the crimping…

A: To findDetermine the crimping force in the jaws at G.GivenForce,

Q: A 12-ft³ tank contains oxygen at 15 psia and 80°F. A paddle wheel within the tank is rotated until…

A: Given data:Volume of tank (V) =Initial Pressure (P1) =Initial Temperature (T1)=…

Q: A concentric tube heat exchanger of length L = 1.5 m is used to thermally process a pharmaceutical…

A: To findDetermine the value of the overall heat transfer coefficient U, in .Determine the mean outlet…

Q: Consider the System Diagram and Free Body Diagram shown below. If you were to add up the force of…

Q: Q3/ A simply supported beam of weight 20KN/m is supported at A&B, AB= 5m. Two-point loads of (W)KN &…

Q: Determine the distance between the foci and the major and minor axes of a pair of rolling ellipses…

A: Step 1: Determine the standard form of the equation for an ellipse with a center of rotation 8 in.…

Q: 6. Two identical 10 kg spheres are attached to the rod, which rotates in the horizontal plane. The…

Q: For the pair of 26-lb forces applied to the handles of the crimper tool, determine the crimping…

Q: Problem Calculate the response of the system 3x(t) + 12x(t) = 38(t) − 8(t − 1) subject to initial…

A: To findCalculate the response of the systemGivenThe equation is given asInitial conditions are given…

Q: What is the temperature, in K, of the O2 in the final state?

Q: need to find Beta as well

A: α = 0.889 or 88.9%β = 0.112 or 11.2%Explanation:We are given the phase diagram of a binary system…

Q: A Drive Shaft for a milling machine transmits 30 horsepower at a speed of 500 RPM. Compute the…

A: A Drive Shaft for a milling machine transmits P = 30 horsepower = 30 × 746 Watts, at a speed of N =…

Q: In the initial stages of the design of a vehicle, it is found that the engine must produce 100 Nm of…

Q: 4. In a home, do you think lights are wired in parallel or series? 5. Does Ohm's law apply to…

A: The answers are provided below

Q: A beam with a length of 8 meters is known to carry both distributed and point loads as well as one…

Q: 6-103E An air-conditioning system is used to maintain a house at 70°F when the temperature outside…

A: Given:TL = 70 0 FTH = 100 0 FQ out = 800 + 100 = 900 Btu/minTo find: Minimum power input required…

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

Q: L W (1) (25pts) Find the description of the linear acceleration vector of the mass center of the…

A: Please refer below page if u have any doubt please feel free to ask me Explanation:Step 1: Step 2:…

Q: A particle undergoes damped harmonic motion. The spring constant is 100 N/m; the damping constant is…

A: Givenspring constant damping constant mass

Q: Two identical homogeneous 30-pound cylinders are connected with a cable. Calculate the tension in…

A: Given:The weight of both cylinders, The radius of both cylinders,

Q: Two spheres approach each other with constant velocities along rectilinear paths, as shown in figure…

Q: A rigid tank contains 17 lbm of air at 20 psia and 75°F. More air is added to the tank until the…

Q: A single crystal of iron (BCC) is pulled along [123]. Which is the first slip system to operate? Use…

Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

100%

Do not use Ai to Answer, Be sure.

A spring with a mass of 1 kg has a spring constant 43 kg/s2. If the spring begins at equilibrium position and is given a velocity of 4 m/s, find the damping constant that
would produce critical damping.

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: Given

VIEW

Step 2: Calculation of damping constant at critical damping

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 7 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 spring has a mass of 10 kg, is underdamped with coefficient β = 5 and its frequency is 0.8 Hz. Spring starts 30 cm from equilibrium position and is released with a velocity of −10 cm / s. Find the value of k.
an object weighing 4lb, when hung from the ceiling, stretches a spring by 6in at equilibrium. the mass is attached to a viscous damper with a damping constant of 1.5lbsec/ft and is set in motion from its equilibrium position with an upward velocity of 3in/sec. taking the downward direction as the positive direction, fin the displacement y(t) in ft of the system from the equilibrium position at any time > or = to 0. ( g=32ft/sec^2)
A weight of mass 2 kg is placed on a long vertical spring with spring constant k = 20. The damping force is 4 dy/dt Newtons. The weight is moved 2 meters above its equilibrium position and is started in motion with a velocity of 1 meter/sec. upward. Find the equation of motion for the weight. (There is no external force).
A mass weighing 40 N stretches a spring 0.1 m. The spring–the mass system resides in a medium with a damping constant of 32N-s m. If the mass is released from its equilibrium position witha velocity of 0.1 m/ s in the downward direction, find the time required for the mass to return to its equilibrium position for thefirst time
(c) The spring-damper-mass system shown in Figure Q3(c) is at rest when strict by a hammer with an initial velocity of 0.4 m/s causing the mass to move upwards. Given that the mass m = 2 kg, spring constant k = 128 N/m and coefficient of viscous damping c = 0.6 Ns/m. (i) Determine the damped frequency of the spring-damper-mass system.
Consider a vibrometer composed of a mass of m = 3.86 kg suspended from a spring of elastic constant k = 50 kg/m inside a box as shown in the figure. If placed above a machine that produces a vertical motion x(t) = 0.09sen3t m. Find the equation of motion of the system and the absolute amplitude of the mass in its steady state.
A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 7 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity. (a) Find the equation of motion if the mass is driven by an external force equal to f(t) = 16 cos 2t + 4 sin 2t.
A spring-mass system with m = 0.5 kg and k = 10,000 N/m with negligible damping, is used as a vibration pickup. When mounted on a structure vibrating with an amplitude of 4 mm, the total displacement of the mass of the pickup is observed to be 12 mm. Find the frequency of the vibrating structure.
Is this system under damped, over-damped or critically damped? Find the solution of this DE if Initial conditions are y(0)=0 and y'(0)=1
A machine having a mass of 5 kg vibrates in a viscous medium. A harmonic force of 50 N acting on it causes the resonant amplitude of 20 mm with a period of 0.3 sec. (a) Find the damping coefficient (b) if the frequency of exciting force is decreased by 20% with respect to natural frequency, find the maximum amplitude. Find out the increase in amplitude of the forced vibration when damper is removed
assume there is damping in the system such that ζ=0.2
Consider a spring-mass system with mass equal to 1 kg, spring constant equal to 25 Newton/meter.Which damping constant b causes critical damping?If the damping constant b in the above system is set to 3 N ∙ sec/m, then what can be said about the number of timesdoes the object pass through its equilibrium position?If the damping constant b in the above system is set to 8 N ∙ sec/m, then what is the interval of time between thesecond time the object returns to its equilibrium position and the third time it returns to its equilibrium position?