Is torque depends on the choice of origin
No, torque does not depend on the choice of origin. Torque is a measure of the rotational force or moment applied to an object, and it is determined by both the magnitude and direction of the force, as well as the distance between the point of rotation (or axis) and the point where the force is applied.
The torque exerted on an object can be calculated using the formula:
Torque = Force x Distance x sin(theta)
In this formula, "Force" refers to the magnitude of the force applied, "Distance" is the perpendicular distance between the axis of rotation and the point where the force is applied, and "theta" is the angle between the force vector and the lever arm (perpendicular distance).
The choice of origin, in terms of the coordinate system used to represent the position of the object and the axis of rotation, does not affect the torque calculation. As long as the force and the distance are correctly determined and the angle between them is calculated accurately, the resulting torque will remain the same regardless of the choice of origin.