Use your program for the viscously damped spring to solve this problem. Make sur

Question

Use your program for the viscously damped spring to solve this problem. Make sure you change the parameters as specified below.

A mass m=5.4 kg is attached to the end of a spring with a spring constant of k=16.9 N/m. The mass moves through a viscous damping medium with a damping constant b=1.8 kg/s giving a velocity dependent damping force Fdamp= -bv.  

The motion occurs in zero gravity so set the force of gravity to ZERO in your program. Also set the equilibrium position L0=0. The mass is initially motionless and displaced from equilibrium by a distance yinitial=0.2 m.

What is the energy of the spring-mass system at the initial position of the mass? (the spring-mass system does not include the damping medium)

Einitial=0.338

What is the energy of the spring-mass system when the mass first passes through the equilibrium position? (you may wish to include a logical test to help you find when this occurs)

gn.n8 Questio /2 (50.0% Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment scoring Your last submission is used for your score. 12 points Previous Answers My Notes Use your program for the viscously damped spring to solve this problem. Make sure you change the parameters as specified below. A mass m 6.3 kg s attached to the end of a spring with a spring constant of k 17.5 N/m. The mass moves through a viscous damping medium with a damping constant b 1.8 kgs giving a velocity dependent damping force F v. The motion occurs in zero gravity so set the force of gravity to ZERO in your program. Also set the equilibrium position LO 0. The mass is initially motionless and displaced from equilibrium by a distance yinitial 0.2 m. What is the energy of the spring mass system at the initial position of the mass? he spring mass system does not include the damping medium) Einitialm 0.35 What is the energy of the spring-mass system when the mass first passes through the equilibrium position? (you may wish to include a logical test to help you find when this cccurs) Ennal 0,309 Submit Assignment Save Assignment Progress

Explanation / Answer

In order to answer the first question, you have to use the spring potential formula

its Ei = (1/2) * k * x^2
so Ei = (1/2) * 16.9 * .2^2 = .338 J

However, the second part requires you to look at you graph in VPython of the total energy, kinetic energy, and potential energy. The energy of the spring-mass system when the mass first passes through the equilibrium position lies where your total energy meets the first peak of kinetic energy

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.