- #1
EzequielJC
- 5
- 0
Homework Statement
Hi, I've been trying to solve this exercise for the last four hours and I'm totally stuck. The problems goes like this:
Given the mechanism in the image, located in the vertical plane, the OB cord is cut when t=0. Find the reactions Rx, Ry and N in {Kgf} for the instants when t=0s, t=0.2s and t=0.4s. The initial values are θ(0)=60° and θ'(0)=0. Both rods have mass m=25kg and length L=3m
(i uploaded a image showing the mechanism)
Homework Equations
The first thing I realized was that the three reactions were time/angle dependent, so I inmediately thought of solving this problem with energy considerations, instead of Newton laws. To do this I choose my system to be both rods so the external forces are the gravity and the three reactions. Also, those reactions don't do any work to the system so in terms of equation I got:
(initial kinetic energy) + (initial potential energy) = (final kinetic energy) + (final potential energy)
The Attempt at a Solution
The problem I'm facing here is this, I get a real nasty looking differential equation with no analytic solution. This is preventing me to find θ(t). Also, i not sure if this is really the approach i should be following, is there any easier way I am not taking into account?