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 = F2 d⊥2 ↻↻↻
↺↺↺ anticlockwise torque about O = F1 d⊥1 ↺↺↺
Conditions for Static EquilibriumSuppose 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