Question

Is torque at a point equals to torque of the whole body ?

Answer 1

Answer:

No

Explanation:

★ TORQUE = FORCE × Displacement Vector ★

» And Displacement Vector is measured from " AXIS OF ROTATION " .

» SO .. FOR A ROTATING BODY ...

[ For Example ]

A Rod is ROTATING ... with angular speed " w" and is of length " L " ...

and Axis Of Rotation .. passing through Centre.

★ Now .. if we want to Find Torque at centre .. then

Displacement Vector ( r ) = 0 ..

so torque = 0

★ Now If we want to Find Torque at " L / 4 " Distance from one end .. then ;

r = L / 2 - L / 4 = L / 4 [ from axis of Rotation ]

so ..

[ Torque = F × L / 4 = F × L / 4 ]

________________________________________

SO TORQUE AT A POINT IS " NOT " EQUAL TO TORQUE OF WHOLE BODY.

Answer 2

• Torque is the measure of the force that can cause an object to rotate about an axis. ... Hence, torque can be defined as the rotational equivalent of linear force. The point where the object rotates is called the axis of rotation. In physics, torque is simply the tendency of a force to turn or twist.