# In which condition torque can be balanced by single force

1
by rkksinghal

2014-11-12T15:28:22+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Torque can be balanced by a moment of force F, in the opposite direction.

The moment of force about the axis of rotation of the object, is in the direction opposite to the given Torque (or angular acceleration), and  r Χ F = - Torque or = - I α
r = perpendicular distance of Force vector from the axis of rotation of object

F = -Torque / r Sin Ф, = - I α / r Sin Ф,      where Ф is the angle between r and F.
==================================
Suppose L is the axis about which the torque is calculated.  Let I be the moment of inertial of the body. Let α be the angular acceleration of the object under the influence of torque.  T = I α

Suppose the torque is  caused by a force or many forces with the total of couple of moments = T = Σ r Χ Fi

Let the force F be at a distance r from the axis of rotation of object, or the direction of T.

T = - r Χ F