Derive the expression for the work done by the ideal spring

Thread starter Alexanddros81
Start date Dec 1, 2017
Tags

Derive Expression Spring Work Work and energy Work done

AI Thread Summary

The discussion focuses on deriving the expression for the work done by an ideal spring on a slider moving from point A to point B, considering two scenarios for the spring's free length: when L0 equals b and when L0 equals 0.75b. Participants analyze the formula for spring work, which involves the spring constant and the displacement from its equilibrium position. The calculations and assumptions made in the derivation are scrutinized for accuracy and clarity. Overall, the thread emphasizes the importance of understanding the relationship between spring force, displacement, and work done. The conversation concludes with a request for validation of the proposed solution.

Dec 1, 2017

Alexanddros81

Homework Statement

Derive the expression for the work done by the ideal spring on the slider when the
slider moves from A to B. Assume that the free length of the spring is (a) ##L_0 = b##;
and (b) ##L_0 = 0.75b##

Homework Equations

The Attempt at a Solution

Can you check if my solution is correct?

Physics news on Phys.org

Dec 1, 2017

Orodruin

Staff Emeritus

Science Advisor

Homework Helper

Insights Author

Gold Member

2024 Award

Looks reasonable.

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...

View full post »

Thread 'Explain this asphalt sheen'

This problem is two parts. The first is to determine what effects are being provided by each of the elements - 1) the window panes; 2) the asphalt surface. My answer to that is The second part of the problem is exactly why you get this affect. And one more spoiler:

View full post »

Thread 'Motion in 2 dimensions'

TL;DR Summary: Will motion in y direction eventually stop If an object moves with initial velocity in both x and y direction and acceleration in only the x direction. If the angle of movement with the x axis will eventually become zero does that mean the object will eventually not move in the y direction.

View full post »