Purchase Solution

Oscillations: The spring with varying force constant

Not what you're looking for?

Ask Custom Question

Please see attachment. Thanks.

---
Many real springs are more easily stretched than compressed. We can represent this by using different spring constants for and for . As an example, consider a spring that exerts the following restoring force:

A mass on a frictionless, horizontal surface is attached to this spring, displaced to by stretching the spring and released.

1) Find the period of the motion.
Express your answer in terms of and .

2) Does the period depend on ?

yes

no

3) Are the oscillations simple harmonic?

yes

no

4) What is the most negative value of that the mass reaches?

5) Is the oscillation symmetric about the point ?
---

Attachments
Purchase this Solution

Solution Summary

The spring is having different force constants for stretching and compressing, The period is calculated and other four parts are discussed and answered.

Solution Preview

Please see the attachment

Many real springs are more easily stretched than compressed. We can represent this by using different spring constants for and for . As an example, consider a spring that exerts the following restoring force:

A mass on a frictionless, horizontal surface is attached to this spring, displaced to by stretching the spring and released.

I think the force is - kx for x > 0
And - 2kx for x < ...

Purchase this Solution


Free BrainMass Quizzes
Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.