A rigid rod of length 2 L is acted upon by some forces. All...

A rigid rod of length $2 L$ is acted upon by some forces. All forces labelled $F$ have the same magnitude. Which cases have a non-zero net torque acting on the rod about its centre?
(a) I and II only
(b) II and III only
(c) I and III only
(d) The net torque is zero in all cases

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Key Concepts

Lever Arm

The lever arm is the perpendicular distance between the line of action of a force and the axis of rotation. It determines the magnitude of the torque generated by a force applied to a rigid body.

Force Couple

A force couple consists of two equal and opposite forces whose lines of action do not coincide, producing a pure rotational effect (net torque) on a body without resulting in any net force or translational motion.

Torque

Torque is a measure of the tendency of a force to rotate an object about an axis. It is defined as the product of the force and the perpendicular distance from the axis of rotation (lever arm), and is crucial for understanding rotational dynamics.

Static Equilibrium

Static equilibrium occurs when both the net force and the net torque acting on an object are zero. This concept is essential for analyzing situations in which a body remains at rest or in uniform motion, ensuring there is no linear or rotational acceleration.

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