Write the condition for rotational equilibrium and translational equilibrium.
(N/A) For a system to be in equilibrium,it must satisfy both translational and rotational equilibrium conditions.
$1$. Translational Equilibrium: The net external force acting on the system must be zero.
$\sum \vec{F}_{ext} = 0$
This implies that the linear acceleration of the center of mass of the system is zero.
$2$. Rotational Equilibrium: The net external torque acting on the system about any point must be zero.
$\sum \vec{\tau}_{ext} = 0$
This implies that the angular acceleration of the system is zero.
$1$. Translational Equilibrium: The net external force acting on the system must be zero.
$\sum \vec{F}_{ext} = 0$
This implies that the linear acceleration of the center of mass of the system is zero.
$2$. Rotational Equilibrium: The net external torque acting on the system about any point must be zero.
$\sum \vec{\tau}_{ext} = 0$
This implies that the angular acceleration of the system is zero.
Explore More
Similar Questions
Two uniform rods of equal length but different masses are rigidly joined to form an $L-$ shaped body,which is then pivoted as shown in the figure. If in equilibrium the body is in the shown configuration,the ratio $M/m$ will be
Difficult
View SolutionTwo persons of equal height are carrying a long uniform wooden beam of length $\ell$. They are at a distance of $\frac{\ell}{5}$ and $\frac{\ell}{3}$ from the nearest ends of the rod. The ratio of the normal reaction at their heads is
Medium
View SolutionTwo men are carrying a uniform bar of length $L$ on their shoulders. The bar is held horizontally such that the younger man gets $(1/4)^{th}$ of the total load. Suppose the younger man is at one end of the bar,what is the distance of the other man from the other end?
Difficult
View SolutionFor the system to be in equilibrium,the value of mass $m$ should be .......... $kg$.
Medium
View SolutionShown in the figure is a rigid and uniform one-meter-long rod $AB$ held in a horizontal position by two strings tied to its ends and attached to the ceiling. The rod has a mass $m$ and another weight of mass $2m$ is hung at a distance of $75\, cm$ from $A$. The tension in the string at $A$ is $....mg$.
DifficultJEE MAIN 2020
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo