We’ve already encountered two examples of oscillatory motion - the rotational motion and the mass-on-a-spring system. The latter is the quintessential oscillator of physics, known as the harmonic osci...We’ve already encountered two examples of oscillatory motion - the rotational motion and the mass-on-a-spring system. The latter is the quintessential oscillator of physics, known as the harmonic oscillator.
If we assume that the torque required to twist the wire through an angle \( \theta\) is proportional to \( \theta\) and to no higher powers, then the ratio of the torque to the angle is called the tor...If we assume that the torque required to twist the wire through an angle \( \theta\) is proportional to \( \theta\) and to no higher powers, then the ratio of the torque to the angle is called the torsion constant \( c\). It depends on the shear modulus of the material of which the wire is made, is inversely proportional to its length, and, for a wire of circular cross-section, is proportional to the fourth power of its diameter.