when wechange the axis of rotation in torque then what will be physical interpretation?
When we change the axis of rotation in torque, the physical interpretation is that we are changing the point about which the object is rotating.
To understand this concept more clearly, let's start with the definition of torque. Torque, denoted by τ (tau), is the measure of a force's ability to rotate an object around an axis. Mathematically, torque is defined as the product of the force applied perpendicular to the axis of rotation and the distance from the axis.
τ = F * r * sin(θ)
Where:
τ = torque
F = applied force
r = distance from the axis of rotation
θ = angle between the force and position vector
When we change the axis of rotation, we are essentially changing the value of 'r' in the torque equation. This means that the distance between the axis of rotation and the point where the force is applied changes, which affects the torque.
For example, let's imagine a door being pushed open. If the axis of rotation is at the hinges, the torque will be different compared to if the axis of rotation is at a different point along the door (e.g., closer to the handle). Changing the axis of rotation changes the leverage or mechanical advantage of the force in causing the rotation.
So, the physical interpretation of changing the axis of rotation in torque is that it alters the effectiveness of the force in rotating the object by changing the distance from the axis of rotation.