Balancing of Turning Moments (Torques)

- The mass of the beam and of the spring balance are neglected.
- The beam is capable to be turned to any, but not a (nearly) vertical position.
*Right-drag*to translate the whole system.- If unfortunately the beam "collapses", reset the page and start again.

Internal Links :

Balancing a Vertical Pole (Applet)

Sticks falling over (Applet)

Definition of Torque :

Torque (moment) is defined as τ = F d_{⊥} = F d sinθ, where d_{⊥} is called the moment arm of the force F.

That will produce a clockwise (anticlockwise) rotation about a pivot is called a clockwise (anticlockwise) torque about that pivot.

In the above diagram,

↻↻↻ clockwise torque about O = F_{2} d_{⊥2} ↻↻↻

↺↺↺ anticlockwise torque about O = F_{1} d_{⊥1} ↺↺↺

Conditions for Static Equilibrium

Suppose all the forces are on the same plane.- The vector sum of the forces is zero.
- The sum of the clockwise torques about any pivot must be equal to the sum of the anticlockwise torques about that pivot.

- The author (Chiu-king Ng) has the copyright on all the simulations in this website.
- Email [email protected], where AA is the prime number following 7.
- Last Update:2018-4-22