Classical Mechanics Acceleration under force F=-K/x^2

AI Thread Summary
A particle of mass m experiences a force F=-K/x^2 while moving along the positive x-axis, starting from rest at x=R. The challenge is to derive the velocity as a function of x and determine the time taken to reach the origin. The user reports difficulties with the resulting function being undefined at both x=R and x=0. Forum members request more details about the user's calculations to provide assistance, emphasizing that solutions cannot be directly given. Clarification on the approach taken is necessary for further help.
macphysics
Messages
1
Reaction score
0
Here's a classical mechanics problem I'm having some trouble with:
A particle of mass m moves on the positive x-axis under the influence of a force F=-K/x^2, where K is a positive constant. The particle is released from rest at x=R at time 0. Find the velocity as a function of x as it accelerates towards the origin. Find the time at which it reaches the origin (you may need integral tables).

The problem that I'm having is that the function that I get isn't defined at either x=R, or at x=0. Any help would be appreciated!
 
Physics news on Phys.org
macphysics said:
Here's a classical mechanics problem I'm having some trouble with:
A particle of mass m moves on the positive x-axis under the influence of a force F=-K/x^2, where K is a positive constant. The particle is released from rest at x=R at time 0. Find the velocity as a function of x as it accelerates towards the origin. Find the time at which it reaches the origin (you may need integral tables).

The problem that I'm having is that the function that I get isn't defined at either x=R, or at x=0. Any help would be appreciated!
Hello macphysics. Welcome to PF !

Show what your result is and how you got it.

We can't help much without more details, and the rules of this forum forbid us from providing you with a solution, even if we were so motivated.
 
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...
Back
Top