A light rod of length 1 m is pivoted at its centre and two masses of 5 kg and 2 kg are hung from the ends as shown in figure (10-E3). Find the initial angular acceleration of the rod assuming that it was horizontal in the beginning.


The angular acceleration of the rod of masses are given as


Given


The length of the rod is given as 1m and is pivoted at the center with two masses at the center of the rod as 2kg and 5kg


Formula Used


To find the formula of the frictional torque we find the product of the moment of inertia and the angular acceleration of the object as



where


is the average frictional torque, I is the moment of inertia and α is the angular acceleration.


Explanation


As the diagram shows the tension developed on the rod by the two masses we can gather that



The torque produced on both the ends can be written as





1