Question: The nonlinear spring in Figure P2-20 has the force/deformation relationship f = kÎ´2. Express the total potential energy of the spring, and use this potential

The nonlinear spring in Figure P2-20 has the force/deformation relationship f = kÎ´2. Express the total potential energy of the spring, and use this potential energy to obtain the equilibrium value of displacement.
Figure P2-20

k = 1000 lb/in. 500 lb

Step by Step Solution

★★★★★

3.32 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

F k 2 x dU F dx U k x 3 3 Fx p 13 kx 3 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1414-P-T-H-T(1272).docx

120 KBs Word File

Students Have Also Explored These Related Thermodynamics Questions!

Suppose the spring in Figure is nonlinear and is described by the cubic force-displacement relation. The equation of motion is m = c( - ) + k1(y - x) + k2(y - x)3 Where m = 100, c = 600, k1 = 8000,...

Nonlinear springs are classified as hard or soft, depending upon the curvature of their force-deflection curve (see figure). If a delicate instrument having a mass of 5 kg is placed on a spring of...

Collar A shown in Figure P2.65 and P2.66 can slide on a frictionless vertical rod and is attached as shown to a spring. The constant of the spring is 660 N/m, and the spring is unstretched when h =...

Reverse the direction of the load in Example 2.4 and recalculate the total potential energy. Then use this value to obtain the equilibrium value of displacement. Example 2.4 For the linear-elastic...

Please answer. Thank you 3. Defining the Total Potential Energy. We know that when a force is conservative, we can calculate the work done by that force W = and define the potential energy according...

watch the three short clips below then answer the questions Copy and paste the three links below 1) Projectile Motion https://www.nsf.govews/mmg/mmg_disp.jsp?med_id=72205&from= 2) Newton's Second Law...

(1) In an experiment of a spring oscillator as in Fig. 1, the mass is measured to be m = 0.435 kg, and the displacement as a function of time is measured to be x(t) = 0.313 sin(2.87t + 0.04) with all...

Chapter 11 Simple Harmonic Motion In This Chapter Using Hooke's law Following simple harmonic motion Calculating simple harmonic motion velocity Finding simple harmonic motion acceleration...

Hello! I have a 10-question multiple-choice homework that's super quick. I'd appreciate your help on it. Answer each multiple-choice question (questions 1 & 2 are together) Question 1. Mass Hanger A...

I have a super quick 10-question multiple choice homework that I'd appreciate your help on! Mass Hanger A group of students must study the oscillatory motion of a pendulum. One end of a light string...

6. What is doping and why we use the doping process in semiconductors?

On 31 December 2019, Diamond Ltd paid 1,100,000 to acquire 80% of the ordinary share capital of Gold Ltd. The statements of financial position of the two companies just after this transaction were as...

1 8 TB TF Qu . 0 6 - 1 7 ( Static ) Taxpayers traveling for the primary purpose... Taxpayers traveling for the primary purpose of receiving essential and deductible medical care may deduct the cost...

7.70 For itemized tax returns in the $60,000$75,000 income group for the most recent year reported, the average charitable contribution was $1935. Assume a normal distribution and a standard...

A cylinder with adiabatic walls is closed at both ends and is divided into two volumes by a frictionless piston that is also thermally insulating. Initially, the volume, pressure and temperature of...

The internal combustion petrol engine can be modeled on the Otto cycle, the four stages consist of (a) An adiabatic compression from V1 to V2, (b) An isochoric (constant volume) pressure increase,...

A monatomic gas of molecular weight M is held at low pressure and temperature T. The velocity distribution function has the form Write down the value of ?, and derive the form of the energy...

With explanation Let X1, X2. ... X12 be independent and identically distributed random variables from a normal population with mean in meters and standard deviation 20 meters, and Y is the number of...

Botox Facial Care had earnings after taxes of $304,000 in 2012 with 200,000 shares of stock outstanding. The stock price was $82.40. In 2013, earnings after taxes increased to $394,000 with the same...

During Heaton Companys first two years of operations, the company reported absorption costing net operating income as follows: Year 1 Year 2 Sales (@ $63 per unit) $ 1,008,000 $ 1,638,000 Cost of...