Restoring torque due to twist of torsion pendulum

A torsion pendulum is a simple harmonic oscillator consisting of a disk suspended by a wire. Rotating the disk through an angle in either direction introduces a restoring torque.

Links:

1. Wikipedia, scalar equation.

torque

Pseudovector of torque of the pendulum.

Symbol:

tau

Latex:

$\overrightarrow{\tau }$

Dimension:

force*length

torsion_stiffness

torsion_stiffness of the pendulum.

Symbol:

kappa

Latex:

$\kappa$

Dimension:

force*length/angle

angular_displacement

Pseudovector of angular displacement. See angular_distance.

Symbol:

theta

Latex:

$\overrightarrow{\theta }$

Dimension:

angle

law

tau = -kappa * theta

Latex:

$$\overrightarrow{\tau }=-\kappa \overrightarrow{\theta }$$