- #1

bnz23

- 3

- 0

## Homework Statement

To try and relate the three ways of calculating motion, let's say you have a particle of some mass, completely at rest, then is acted on by some force, where F equals a constant, C, times time. (C*t).

I want to find the equations of motion using Lagrangrian, but also Newton and Hamilton

## Homework Equations

I know I need L= T - V

T = 1/2mv^2, where v is x dot

This needs to be altered for the Force equation

I feel PE (V) is just mvx

## The Attempt at a Solution

Then if these T and V are correct, I need to solve the DE for Lagrange. That is easy once I know my L equation is correct.

Next, Hamilton.

How would this be done with Newton's equations of motion? Simple I'm sure.

Thanks!